OpenXM_contrib2/asir2000/builtin/strobj.c - diff

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Diff for /OpenXM_contrib2/asir2000/builtin/strobj.c between version 1.101 and 1.113

version 1.101, 2005/11/26 01:28:11

version 1.113, 2005/12/18 06:54:28

Line 45

* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,

* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.

* $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.100 2005/11/25 07:18:31 noro Exp $

* $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.112 2005/12/18 01:57:21 noro Exp $

#include "ca.h"

#include "parse.h"

Line 76 struct TeXSymbol {

#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;

Line 92 void Pquotetotex();

Line 93 void Pquotetotex();

void Pquotetotex_env();

void Pflatten_quote();

void Pquote_is_integer(),Pquote_is_rational(),Pquote_is_number();

void Pqt_is_integer(),Pqt_is_rational(),Pqt_is_number(),Pqt_is_coef();

void Pquote_is_dependent(),Pquote_is_function();

void Pqt_is_dependent(),Pqt_is_function(),Pqt_is_var();

void Pquote_normalize();

void Pqt_set_ord(),Pqt_set_coef(),Pqt_set_weight();

void Pnquote_comp();

void Pqt_normalize();

void Pnquote_match();

void Pnqt_comp(),Pnqt_weight();

void Pnqt_match();

void Pnqt_match_rewrite();

void Pquote_to_nbp();

void Pqt_to_nbp();

void Pshuffle_mul(), Pharmonic_mul();

void Pnbp_hm(), Pnbp_ht(), Pnbp_hc(), Pnbp_rest(), Pnbm_hp(), Pnbm_rest();

void Pnbp_hm(), Pnbp_ht(), Pnbp_hc(), Pnbp_rest();

void Pnbm_deg();

void Pnbm_hp_rest();

void Pnbm_hxky(), Pnbm_xky_rest();

void Pnbm_hv(), Pnbm_rest();

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 do_assign(NODE arg);

void fnodetotex_tb(FNODE f,TB tb);

Line 116 void tb_to_string(TB tb,STRING *rp);

Line 123 void tb_to_string(TB tb,STRING *rp);

void fnodenodetotex_tb(NODE n,TB tb);

void fargstotex_tb(char *opname,FNODE f,TB tb);

int top_is_minus(FNODE f);

int quote_match(Obj f,Obj pat,NODE *rp);

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[] = {

{"sprintf",Psprintf,-99999999},

Line 134 struct ftab str_tab[] = {

Line 156 struct ftab str_tab[] = {

{"string_to_tb",Pstring_to_tb,1},

{"get_quote_id",Pget_quote_id,1},

{"quote_is_number",Pquote_is_number,1},

{"qt_is_var",Pqt_is_var,1},

{"quote_is_rational",Pquote_is_rational,1},

{"qt_is_coef",Pqt_is_coef,1},

{"quote_is_integer",Pquote_is_integer,1},

{"qt_is_number",Pqt_is_number,1},

{"quote_is_function",Pquote_is_function,1},

{"qt_is_rational",Pqt_is_rational,1},

{"quote_is_dependent",Pquote_is_dependent,2},

{"qt_is_integer",Pqt_is_integer,1},

{"qt_is_function",Pqt_is_function,1},

{"qt_is_dependent",Pqt_is_dependent,2},

{"quote_normalize",Pquote_normalize,-2},

{"qt_set_coef",Pqt_set_coef,-1},

{"quote_match",Pquote_match,2},

{"qt_set_ord",Pqt_set_ord,-1},

{"quote_match_rewrite",Pquote_match_rewrite,-4},

{"qt_set_weight",Pqt_set_weight,-1},

{"qt_normalize",Pqt_normalize,-2},

{"qt_match",Pqt_match,2},

{"nqt_match_rewrite",Pnqt_match_rewrite,3},

{"nquote_comp",Pnquote_comp,2},

{"nqt_weight",Pnqt_weight,1},

{"nquote_match",Pnquote_match,2},

{"nqt_comp",Pnqt_comp,2},

{"quote_to_nbp",Pquote_to_nbp,1},

{"nqt_match",Pnqt_match,-3},

{"qt_to_nbp",Pqt_to_nbp,1},

{"shuffle_mul",Pshuffle_mul,2},

{"harmonic_mul",Pharmonic_mul,2},

Line 154 struct ftab str_tab[] = {

Line 182 struct ftab str_tab[] = {

{"nbp_ht", Pnbp_ht,1},

{"nbp_hc", Pnbp_hc,1},

{"nbp_rest", Pnbp_rest,1},

{"nbm_hp", Pnbm_hp,1},

{"nbm_deg", Pnbm_deg,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_rest", Pnbm_rest,1},

{"quote_to_nary",Pquote_to_nary,1},

{"qt_to_nary",Pqt_to_nary,1},

{"quote_to_bin",Pquote_to_bin,2},

{"qt_to_bin",Pqt_to_bin,2},

{"quotetotex_tb",Pquotetotex_tb,2},

{"quotetotex",Pquotetotex,1},

Line 562 void Pwrite_to_tb(NODE arg,Q *rp)

Line 594 void Pwrite_to_tb(NODE arg,Q *rp)

*rp = 0;

}

FNODE partial_eval(FNODE), fnode_to_nary(FNODE), fnode_to_bin(FNODE,int);

void Pqt_to_nary(NODE arg,QUOTE *rp)

void Pquote_to_nary(NODE arg,QUOTE *rp)

{

FNODE f;

Line 572 void Pquote_to_nary(NODE arg,QUOTE *rp)

Line 602 void Pquote_to_nary(NODE arg,QUOTE *rp)

MKQUOTE(*rp,f);

}

void Pquote_to_bin(NODE arg,QUOTE *rp)

void Pqt_to_bin(NODE arg,QUOTE *rp)

{

FNODE f;

int direction;

Line 583 void Pquote_to_bin(NODE arg,QUOTE *rp)

Line 613 void Pquote_to_bin(NODE arg,QUOTE *rp)

MKQUOTE(*rp,f);

}

void Pquote_is_number(NODE arg,Q *rp)

void Pqt_is_var(NODE arg,Q *rp)

{

QUOTE q;

int ret;

q = (QUOTE)ARG0(arg);

asir_assert(q,O_QUOTE,"quote_is_number");

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 Pquote_is_rational(NODE arg,Q *rp)

void Pqt_is_rational(NODE arg,Q *rp)

{

QUOTE q;

int ret;

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));

STOQ(ret,*rp);

}

void Pquote_is_integer(NODE arg,Q *rp)

void Pqt_is_integer(NODE arg,Q *rp)

{

QUOTE q;

int ret;

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));

STOQ(ret,*rp);

}

void Pquote_is_function(NODE arg,Q *rp)

void Pqt_is_function(NODE arg,Q *rp)

{

QUOTE q;

int ret;

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 )

ret = 1;

else

Line 630 void Pquote_is_function(NODE arg,Q *rp)

Line 682 void Pquote_is_function(NODE arg,Q *rp)

STOQ(ret,*rp);

}

void Pquote_is_dependent(NODE arg,Q *rp)

void Pqt_is_dependent(NODE arg,Q *rp)

{

P x;

QUOTE q,v;

Line 639 void Pquote_is_dependent(NODE arg,Q *rp)

Line 691 void Pquote_is_dependent(NODE arg,Q *rp)

q = (QUOTE)ARG0(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));

if ( !x || OID(x) != O_P )

*rp = 0;

Line 650 void Pquote_is_dependent(NODE arg,Q *rp)

Line 702 void Pquote_is_dependent(NODE arg,Q *rp)

}

void Pquote_match(NODE arg,Q *rp)

void Pqt_match(NODE arg,Q *rp)

{

FNODE f,g;

Obj obj;

Line 658 void Pquote_match(NODE arg,Q *rp)

Line 710 void Pquote_match(NODE arg,Q *rp)

NODE r;

int ret;

#if 0

g = partial_eval(BDY(((QUOTE)ARG0(arg))));

MKQUOTE(q,g);

ret = quote_match((Obj)q,(Obj)ARG1(arg),&r);

#else

obj = (Obj)ARG0(arg);

ret = quote_match(obj,(Obj)ARG1(arg),&r);

ret = qt_match(obj,(Obj)ARG1(arg),&r);

#endif

if ( ret ) {

do_assign(r);

*rp = ONE;

Line 673 void Pquote_match(NODE arg,Q *rp)

Line 719 void Pquote_match(NODE arg,Q *rp)

*rp = 0;

}

void Pnquote_match(NODE arg,Q *rp)

void Pnqt_match(NODE arg,Q *rp)

{

QUOTE fq,pq;

FNODE f,p;

int ret;

Q mode;

NODE r;

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);

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);

Line 690 void Pnquote_match(NODE arg,Q *rp)

Line 738 void Pnquote_match(NODE arg,Q *rp)

*rp = 0;

}

FNODE rewrite_fnode(FNODE,NODE);

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;

extern Obj VOIDobj;

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);

void Pquote_match_rewrite(NODE arg,Obj *rp)

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)

{

FNODE f,g,h,c,value;

ARF op;

Obj obj;

NODE arg,h0,t,h,valuen;

NODE r,s0,s,pair;

FNODE any,pany,head,tail,a1,a2;

QUOTE q;

NODE r,t,s,s0,pair;

int ret;

int ret,ind,ac;

FNODE value;

int ind;

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);

}

/* 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;

}

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;

case 4:

}

c = rewrite_fnode(BDY((QUOTE)ARG2(arg)),s0);

if ( eval(c) ) {

NEXTNODE(h0,h);

h = rewrite_fnode(BDY((QUOTE)ARG3(arg)),s0);

BDY(h) = BDY(t);

MKQUOTE(q,h); *rp = (Obj)q;

} else

*rp = VOIDobj;

break;

default:

error("quote_match_rewrite : invalid argument");

}

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

*rp = VOIDobj;

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)

Line 807 int merge_matching_node(NODE n,NODE a,NODE *rp)

Line 906 int merge_matching_node(NODE n,NODE a,NODE *rp)

return 1;

}

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;

int ret;

if ( length(f) != length(pat) ) return 0;

r = 0;

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;

ret = merge_matching_node(r,a,&r1);

if ( !ret ) return 0;

Line 826 int quote_match_node(NODE f,NODE pat,NODE *rp) {

Line 925 int quote_match_node(NODE f,NODE pat,NODE *rp) {

/* f = [a,b,c,...] pat = [X,Y,...] rpat matches the rest of f */

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;

Q id;

FNODE fn;

Line 838 int quote_match_cons(NODE f,NODE pat,Obj rpat,NODE *rp

Line 937 int quote_match_cons(NODE f,NODE pat,Obj rpat,NODE *rp

if ( length(f) < length(pat) ) return 0;

r = 0;

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;

ret = merge_matching_node(r,a,&r1);

if ( !ret ) return 0;

Line 850 int quote_match_cons(NODE f,NODE pat,Obj rpat,NODE *rp

Line 949 int quote_match_cons(NODE f,NODE pat,Obj rpat,NODE *rp

MKLIST(alist,a);

arg = mknode(1,alist);

Pfunargs_to_quote(arg,&q);

ret = quote_match((Obj)q,rpat,&a);

ret = qt_match((Obj)q,rpat,&a);

if ( !ret ) return 0;

ret = merge_matching_node(r,a,&r1);

if ( !ret ) return 0;

Line 869 void get_quote_id_arg(QUOTE f,int *id,NODE *r)

Line 968 void get_quote_id_arg(QUOTE f,int *id,NODE *r)

/* *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 parg,farg,r;

Line 888 int quote_match(Obj f, Obj pat, NODE *rp)

Line 987 int quote_match(Obj f, Obj pat, NODE *rp)

return 0;

else if ( OID(pat) == 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

return 0;

} else if ( OID(pat) == O_QUOTE ) {

Line 915 int quote_match(Obj f, Obj pat, NODE *rp)

Line 1014 int quote_match(Obj f, Obj pat, NODE *rp)

tp = BDY((LIST)BDY(parg));

if ( pid == I_LIST )

return quote_match_node(tf,tp,rp);

return qt_match_node(tf,tp,rp);

else {

rpat = (Obj)BDY(NEXT(parg));

return quote_match_cons(tf,tp,rpat,rp);

return qt_match_cons(tf,tp,rpat,rp);

}

case I_PVAR:

Line 934 int quote_match(Obj f, Obj pat, NODE *rp)

Line 1033 int quote_match(Obj f, Obj pat, NODE *rp)

if ( id == I_FUNC ) {

r = mknode(2,BDY(parg),BDY(farg)); MKLIST(l,r);

head = mknode(1,l);

ret = quote_match(BDY(NEXT(farg)),

ret = qt_match(BDY(NEXT(farg)),

BDY(NEXT(parg)),&body);

if ( !ret ) return 0;

else return merge_matching_node(head,body,rp);

Line 962 int quote_match(Obj f, Obj pat, NODE *rp)

Line 1061 int quote_match(Obj f, Obj pat, NODE *rp)

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 quote_match_node(NEXT(farg),NEXT(parg),rp);

return qt_match_node(NEXT(farg),NEXT(parg),rp);

default:

if ( OID(f) != O_QUOTE ) return 0;

Line 970 int quote_match(Obj f, Obj pat, NODE *rp)

Line 1069 int quote_match(Obj f, Obj pat, NODE *rp)

if ( id != pid ) return 0;

get_quote_id_arg((QUOTE)pat,&pid,&parg);

get_quote_id_arg((QUOTE)f,&id,&farg);

return quote_match_node(farg,parg,rp);

return qt_match_node(farg,parg,rp);

}

Line 1333 void Pget_function_name(NODE arg,STRING *rp)

Line 1432 void Pget_function_name(NODE arg,STRING *rp)

}

FNODE strip_paren(FNODE);

void objtotex_tb(Obj obj,TB tb);

void fnodetotex_tb(FNODE f,TB tb)

{

Line 1341 void fnodetotex_tb(FNODE f,TB tb)

Line 1441 void fnodetotex_tb(FNODE f,TB tb)

char *opname,*vname_conv,*prefix_conv;

Obj obj;

int i,len,allzero,elen,elen2,si;

C cplx;

char *r;

FNODE fi,f2,f1;

Line 1409 void fnodetotex_tb(FNODE f,TB tb)

Line 1508 void fnodetotex_tb(FNODE f,TB tb)

write_tb("}",tb);

break;

case '^':

fnodetotex_tb((FNODE)FA1(f),tb);

f1 = (FNODE)FA1(f);

if ( fnode_is_var(f1) )

fnodetotex_tb(f1,tb);

else {

write_tb("(",tb);

fnodetotex_tb(f1,tb);

write_tb(")",tb);

}

write_tb("^{",tb);

fnodetotex_tb(strip_paren((FNODE)FA2(f)),tb);

write_tb("} ",tb);

Line 1426 void fnodetotex_tb(FNODE f,TB tb)

Line 1532 void fnodetotex_tb(FNODE f,TB tb)

break;

case I_NARYOP:

args = (NODE)FA1(f);

write_tb("(",tb);

switch ( OPNAME(f) ) {

case '+':

fnodetotex_tb((FNODE)BDY(args),tb);

for ( args = NEXT(args); args; args = NEXT(args) ) {

write_tb("+",tb);

fnodetotex_tb((FNODE)BDY(args),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)) )

if ( f1->id == I_FORMULA && MUNIQ(FA0(f1)) ) {

write_tb("-",tb);

write_tb("- ",tb); args = NEXT(args);

else

}

fnodetotex_tb(f1,tb);

for ( ; args; args = NEXT(args) ) {

write_tb(" ",tb);

for ( args = NEXT(args); args; args = NEXT(args) ) {

/* XXX special care for DP */

f2 = (FNODE)BDY(args);

if ( f2->id == I_EV ) {

if ( fnode_is_var(f2) || IS_BINARYPWR(f2) )

n = (NODE)FA0(f2);

for ( i = 0; n; n = NEXT(n), i++ ) {

fi = (FNODE)BDY(n);

if ( fi->id != I_FORMULA || FA0(fi) )

break;

}

if ( n )

fnodetotex_tb(f2,tb);

} else

fnodetotex_tb(f2,tb);

else {

write_tb("(",tb);

fnodetotex_tb(f2,tb);

write_tb(")",tb);

}

break;

default:

error("invalid nary op");

break;

}

write_tb(")",tb);

break;

case I_COP:

Line 1687 void fnodetotex_tb(FNODE f,TB tb)

Line 1791 void fnodetotex_tb(FNODE f,TB tb)

/* internal object */

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;

/* program variable */

Line 1729 void fnodetotex_tb(FNODE f,TB tb)

Line 1807 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)

{

int len;

Line 1844 int top_is_minus(FNODE f)

Line 2019 int top_is_minus(FNODE f)

case O_N:

return mmono((P)obj);

case O_P:

#if 0

/* must be a variable */

opname = conv_rule(VR((P)obj)->name);

return opname[0]=='-';

#else

return mmono((P)obj);

#endif

default:

/* ??? */

len = estimate_length(CO,obj);

Line 2037 void Pfunargs_to_quote(NODE arg,QUOTE *rp)

Line 2216 void Pfunargs_to_quote(NODE arg,QUOTE *rp)

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;

}

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("quote_normalize : invalid argument");

if ( !ac ) error("qt_normalize : invalid argument");

q = (QUOTE)ARG0(arg);

expand = ac==2 && ARG1(arg);

if ( ac == 2 )

expand = QTOS((Q)ARG1(arg));

if ( !q || OID(q) != O_QUOTE )

*rp = q;

else {

Line 2061 void Pquote_normalize(NODE arg,QUOTE *rp)

Line 2356 void Pquote_normalize(NODE arg,QUOTE *rp)

NBP fnode_to_nbp(FNODE f);

void Pquote_to_nbp(NODE arg,NBP *rp)

void Pqt_to_nbp(NODE arg,NBP *rp)

{

QUOTE q;

FNODE f;

Line 2149 void Pnbp_rest(NODE arg, NBP *rp)

Line 2444 void Pnbp_rest(NODE arg, NBP *rp)

}

void Pnbm_hp(NODE arg, LIST *rp)

void Pnbm_deg(NODE arg, Q *rp)

{

NBP p;

NBM m;

int d,i,xy;

int *b;

p = (NBP)ARG0(arg);

Q qxy,qi;

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 ) {

if ( !p )

MKLIST(*rp,0);

} else {

else {

m = (NBM)BDY(BDY(p));

b = m->b;

b = m->b; d = m->d;

d = m->d;

if ( !d )

MKLIST(*rp,0);

else {

xy = NBM_GET(b,0);

v = NBM_GET(b,0);

for ( i = 1; i < d; i++ )

if ( NBM_GET(b,i) != xy ) break;

if ( NBM_GET(b,i) != v ) break;

STOQ(xy,qxy);

NEWNBM(m1); NEWNBMBDY(m1,i);

STOQ(i,qi);

b1 = m1->b; m1->d = i; m1->c = ONE;

n = mknode(2,qxy,qi);

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_rest(NODE arg,NBP *rp)

void Pnbm_hxky(NODE arg, LIST *rp)

{

NBP p;

NBM m,m1;

int d,xy,i,d1,i1;

int *b,*b1;

NODE n;

p = (NBP)ARG0(arg);

if ( !p )

*rp = 0;

else {

else

m = (NBM)BDY(BDY(p));

separate_xky_nbm((NBM)BDY(BDY(p)),0,rp,0);

b = m->b;

d = m->d;

if ( !d )

*rp = p;

else {

xy = NBM_GET(b,0);

for ( i = 1; i < d; i++ )

if ( NBM_GET(b,i) != xy ) break;

d1 = d-i;

NEWNBM(m1);

m1->d = d1; m1->c = m->c;

NEWNBMBDY(m1,d1);

b1 = m1->b;

for ( i1 = 0; i < d; i++, i1++ )

if ( NBM_GET(b,i) ) NBM_SET(b1,i1);

else NBM_CLR(b1,i1);

MKNODE(n,m1,0);

MKNBP(*rp,n);

}

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)

{

Q r;

Line 2258 NBP fnode_to_nbp(FNODE f)

Line 2585 NBP fnode_to_nbp(FNODE f)

}

void Pnquote_comp(NODE arg,Q *rp)

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;

Line 2272 void Pnquote_comp(NODE arg,Q *rp)

Line 2611 void Pnquote_comp(NODE arg,Q *rp)

STOQ(r,*rp);

}

INLINE int fnode_is_number(FNODE f)

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:

Line 2416 int fnode_is_dependent(FNODE f,V v)

Line 2815 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 a1,a2,mone,r,b2;

NODE n;

Q q;

if ( f->normalized && (f->expanded || !expand) ) return f;

if ( f->normalized && (f->expanded == expand) ) return f;

STOQ(-1,q);

mone = mkfnode(1,I_FORMULA,q);

switch ( f->id ) {

Line 2444 FNODE fnode_normalize(FNODE f,int expand)

Line 2831 FNODE fnode_normalize(FNODE f,int expand)

break;

case I_MINUS:

r = nfnode_mul_coef((Num)q,

r = nfnode_mul_coef((Obj)q,

fnode_normalize(FA0(f),expand),expand);

break;

Line 2457 FNODE fnode_normalize(FNODE f,int expand)

Line 2844 FNODE fnode_normalize(FNODE f,int expand)

r = nfnode_add(a1,a2,expand);

break;

case '-':

a2 = nfnode_mul_coef((Num)q,a2,expand);

a2 = nfnode_mul_coef((Obj)q,a2,expand);

r = nfnode_add(a1,a2,expand);

break;

case '*':

Line 2544 FNODE nfnode_add(FNODE f1,FNODE f2,int expand)

Line 2931 FNODE nfnode_add(FNODE f1,FNODE f2,int expand)

NODE n1,n2,r0,r;

FNODE b1,b2;

int s;

Num c1,c2,c;

Obj c1,c2,c;

if ( IS_ZERO(f1) ) return f2;

else if ( IS_ZERO(f2) ) return f1;

Line 2558 FNODE nfnode_add(FNODE f1,FNODE f2,int expand)

Line 2945 FNODE nfnode_add(FNODE f1,FNODE f2,int expand)

} else if ( s < 0 ) {

NEXTNODE(r0,r); BDY(r) = BDY(n2); n2 = NEXT(n2);

} else {

addnum(0,c1,c2,&c);

arf_add(CO,c1,c2,&c);

if ( c ) {

NEXTNODE(r0,r); BDY(r) = nfnode_mul_coef(c,b1,expand);

}

Line 2574 FNODE nfnode_add(FNODE f1,FNODE f2,int expand)

Line 2961 FNODE nfnode_add(FNODE f1,FNODE f2,int expand)

else if ( r0 )

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)

{

NODE n1,n2,r0,r,r1;

FNODE b1,b2,e1,e2,cc,t,t1;

FNODE *m;

int s;

Num c1,c2,c,e;

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_number(f1) )

else if ( fnode_is_coef(f1) )

return nfnode_mul_coef((Num)eval(f1),f2,expand);

return nfnode_mul_coef((Obj)eval(f1),f2,expand);

else if ( fnode_is_number(f2) )

else if ( fnode_is_coef(f2) )

return nfnode_mul_coef((Num)eval(f2),f1,expand);

return nfnode_mul_coef((Obj)eval(f2),f1,expand);

if ( expand && IS_NARYADD(f1) ) {

t = mkfnode(1,I_FORMULA,0);

Line 2624 FNODE nfnode_mul(FNODE f1,FNODE f2,int expand)

Line 3008 FNODE nfnode_mul(FNODE f1,FNODE f2,int expand)

}

fnode_coef_body(f1,&c1,&b1); fnode_coef_body(f2,&c2,&b2);

mulnum(0,c1,c2,&c);

arf_mul(CO,c1,c2,&c);

if ( !c ) return mkfnode(1,I_FORMULA,0);

Line 2638 FNODE nfnode_mul(FNODE f1,FNODE f2,int expand)

Line 3022 FNODE nfnode_mul(FNODE f1,FNODE f2,int expand)

else {

fnode_base_exp(m[i-1],&b1,&e1); fnode_base_exp(BDY(r),&b2,&e2);

if ( compfnode(b1,b2) ) break;

addnum(0,eval(e1),eval(e2),&e);

arf_add(CO,eval(e1),eval(e2),&e);

if ( !e ) i--;

else if ( UNIQ(e) )

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));

Line 2652 FNODE nfnode_mul(FNODE f1,FNODE f2,int expand)

Line 3046 FNODE nfnode_mul(FNODE f1,FNODE f2,int expand)

if ( !UNIQ(c) ) {

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 b,b1,e1,e,cc,r,mf2,mone,inv;

Num c,c1,nf2;

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_number(f1) ) {

else if ( fnode_is_coef(f1) ) {

if ( fnode_is_integer(f2) ) {

if ( fnode_is_one(f2) ) return f1;

else {

pwrnum(0,(Num)eval(f1),(Num)eval(f2),&c);

arf_pwr(CO,eval(f1),(Obj)eval(f2),&c);

return mkfnode(1,I_FORMULA,c);

}

} else

} 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);

Line 2685 FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand)

Line 3082 FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand)

&& fnode_is_integer(f2) ) {

fnode_coef_body(f1,&c1,&b1);

nf2 = (Num)eval(f2);

pwrnum(0,(Num)c1,nf2,&c);

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);

b = fnode_expand_pwr(b1,ee,expand);

else {

STOQ(-1,q);

mone = mkfnode(1,I_FORMULA,q);

Line 2698 FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand)

Line 3095 FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand)

inv = mkfnode(3,I_BOP,pwrfs,BDY(n),mone);

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) )

return b;

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)

&& 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));

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)

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);

else if ( IS_ZERO(f) ) return mkfnode(1,I_FORMULA,0);

else if ( n == 1 ) return f;

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 2765 FNODE to_narymul(FNODE f)

Line 3174 FNODE to_narymul(FNODE f)

return r;

}

FNODE nfnode_mul_coef(Num c,FNODE f,int expand)

FNODE nfnode_mul_coef(Obj c,FNODE f,int expand)

{

FNODE b1,cc;

Num c1,c2;

Obj c1,c2;

NODE n,r,r0;

if ( !c )

return mkfnode(I_FORMULA,0);

else {

fnode_coef_body(f,&c1,&b1);

mulnum(0,c,c1,&c2);

arf_mul(CO,c,c1,&c2);

if ( UNIQ(c2) ) return b1;

else {

cc = mkfnode(1,I_FORMULA,c2);

Line 2786 FNODE nfnode_mul_coef(Num c,FNODE f,int expand)

Line 3195 FNODE nfnode_mul_coef(Num c,FNODE f,int expand)

return cc;

} else if ( IS_NARYMUL(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) ) {

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_naryadd(r0);

return fnode_node_to_nary(addfs,r0);

} else

return fnode_node_to_narymul(mknode(2,cc,b1));

return fnode_node_to_nary(mulfs,mknode(2,cc,b1));

}

void fnode_coef_body(FNODE f,Num *cp,FNODE *bp)

void fnode_coef_body(FNODE f,Obj *cp,FNODE *bp)

{

FNODE c;

if ( fnode_is_number(f) ) {

if ( fnode_is_coef(f) ) {

*cp = eval(f); *bp = mkfnode(1,I_FORMULA,ONE);

*cp = (Obj)eval(f); *bp = mkfnode(1,I_FORMULA,ONE);

} else if ( IS_NARYMUL(f) ) {

c=(FNODE)BDY((NODE)FA1(f));

if ( fnode_is_number(c) ) {

if ( fnode_is_coef(c) ) {

*cp = eval(c);

*cp = (Obj)eval(c);

*bp = fnode_node_to_narymul(NEXT((NODE)FA1(f)));

*bp = fnode_node_to_nary(mulfs,NEXT((NODE)FA1(f)));

} else {

*cp = (Num)ONE; *bp = f;

*cp = (Obj)ONE; *bp = f;

}

} else {

*cp = (Num)ONE; *bp = f;

*cp = (Obj)ONE; *bp = f;

}

int nfnode_comp_pwr(FNODE f1,FNODE f2);

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;

Num ee,ee1,c1,c2;

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);

while ( n1 && n2 )

if ( r = nfnode_comp(BDY(n1),BDY(n2)) ) return r;

if ( r = nfnode_comp_lex(BDY(n1),BDY(n2)) ) return r;

else {

n1 = NEXT(n1); n2 = NEXT(n2);

}

Line 2842 int nfnode_comp(FNODE f1,FNODE f2)

Line 3319 int nfnode_comp(FNODE f1,FNODE f2)

if ( IS_NARYMUL(f1) || IS_NARYMUL(f2) ) {

fnode_coef_body(f1,&c1,&b1);

fnode_coef_body(f2,&c2,&b2);

if ( !compfnode(b1,b2) ) return compnum(0,c1,c2);

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);

while ( 1 ) {

Line 2855 int nfnode_comp(FNODE f1,FNODE f2)

Line 3332 int nfnode_comp(FNODE f1,FNODE f2)

fnode_base_exp(BDY(n1),&b1,&e1);

fnode_base_exp(BDY(n2),&b2,&e2);

if ( r = nfnode_comp(b1,b2) ) {

if ( r = nfnode_comp_lex(b1,b2) ) {

if ( r > 0 )

return nfnode_comp(e1,mkfnode(1,I_FORMULA,0));

return nfnode_comp_lex(e1,mkfnode(1,I_FORMULA,0));

else if ( r < 0 )

return nfnode_comp(mkfnode(1,I_FORMULA,0),e2);

return nfnode_comp_lex(mkfnode(1,I_FORMULA,0),e2);

} else {

n1 = NEXT(n1); n2 = NEXT(n2);

if ( fnode_is_number(e1) && fnode_is_number(e2) ) {

Line 2875 int nfnode_comp(FNODE f1,FNODE f2)

Line 3352 int nfnode_comp(FNODE f1,FNODE f2)

MKNODE(n2,g,n2);

}

} else {

r = nfnode_comp(e1,e2);

r = nfnode_comp_lex(e1,e2);

if ( r > 0 ) return 1;

else if ( r < 0 ) return -1;

}

if ( IS_BINARYPWR(f1) || IS_BINARYPWR(f2) )

if ( IS_BINARYPWR(f1) || IS_BINARYPWR(f2) ) {

return nfnode_comp_pwr(f1,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_FORMULA */

/* 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(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:

return -1;

default:

error("nfnode_comp : undefined");

error("nfnode_comp_lex : undefined");

}

break;

case I_FUNC:

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: case I_FUNC_QARG:

nm1 = ((FUNC)FA0(f1))->name; nm2 = ((FUNC)FA0(f2))->name;

r = strcmp(nm1,nm2);

if ( r > 0 ) return 1;

Line 2913 int nfnode_comp(FNODE f1,FNODE f2)

Line 3398 int nfnode_comp(FNODE f1,FNODE f2)

/* compare args */

n1 = FA0((FNODE)FA1(f1)); n2 = FA0((FNODE)FA1(f2));

while ( n1 && n2 )

if ( r = nfnode_comp(BDY(n1),BDY(n2)) ) return r;

if ( r = nfnode_comp_lex(BDY(n1),BDY(n2)) ) return r;

else {

n1 = NEXT(n1); n2 = NEXT(n2);

}

Line 2921 int nfnode_comp(FNODE f1,FNODE f2)

Line 3406 int nfnode_comp(FNODE f1,FNODE f2)

}

break;

default:

error("nfnode_comp : undefined");

error("nfnode_comp_lex : undefined");

}

case I_PVAR:

switch ( f2->id ) {

case I_FORMULA: case I_FUNC:

case I_FORMULA: case I_FUNC: case I_FUNC_QARG:

return 1;

case I_IFUNC:

return -1;

Line 2935 int nfnode_comp(FNODE f1,FNODE f2)

Line 3420 int nfnode_comp(FNODE f1,FNODE f2)

else if ( i1 < i2 ) return -1;

else return 0;

default:

error("nfnode_comp : undefined");

error("nfnode_comp_lex : undefined");

}

break;

case I_IFUNC:

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;

case I_IFUNC:

i1 = (int)FA0((FNODE)FA0(f1));

Line 2951 int nfnode_comp(FNODE f1,FNODE f2)

Line 3436 int nfnode_comp(FNODE f1,FNODE f2)

/* compare args */

n1 = FA0((FNODE)FA1(f1)); n2 = FA0((FNODE)FA1(f2));

while ( n1 && n2 )

if ( r = nfnode_comp(BDY(n1),BDY(n2)) ) return r;

if ( r = nfnode_comp_lex(BDY(n1),BDY(n2)) ) return r;

else {

n1 = NEXT(n1); n2 = NEXT(n2);

}

Line 2960 int nfnode_comp(FNODE f1,FNODE f2)

Line 3445 int nfnode_comp(FNODE f1,FNODE f2)

break;

default:

error("nfnode_comp : undefined");

error("nfnode_comp_lex : undefined");

}

break;

default:

error("nfnode_comp : undefined");

error("nfnode_comp_lex : undefined");

}

int nfnode_comp_pwr(FNODE f1,FNODE f2)

{

FNODE b1,b2,e1,e2;

int r;

fnode_base_exp(f1,&b1,&e1);

fnode_base_exp(f2,&b2,&e2);

if ( r = nfnode_comp(b1,b2) ) {

if ( r > 0 )

return nfnode_comp(e1,mkfnode(1,I_FORMULA,0));

else if ( r < 0 )

return nfnode_comp(mkfnode(1,I_FORMULA,0),e2);

} else return nfnode_comp(e1,e2);

}

NODE append_node(NODE a1,NODE a2)

{

NODE t,t0;

Line 3018 int nfnode_match(FNODE f,FNODE pat,NODE *rp)

Line 3488 int nfnode_match(FNODE f,FNODE pat,NODE *rp)

switch ( pat->id ) {

case I_PVAR:

/* [[pat,f]] */

*rp = mknode(1,mknode(2,(int)FA0(pat),f),0);

*rp = mknode(1,mknode(2,(int)FA0(pat),f));

return 1;

case I_FORMULA:

Line 3037 int nfnode_match(FNODE f,FNODE pat,NODE *rp)

Line 3507 int nfnode_match(FNODE f,FNODE pat,NODE *rp)

fbase = f; fexp = mkfnode(1,I_FORMULA,ONE);

}

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;

else {

*rp = append_node(base,exp);

Line 3061 int nfnode_match(FNODE f,FNODE pat,NODE *rp)

Line 3531 int nfnode_match(FNODE f,FNODE pat,NODE *rp)

fa = (NODE)FA0((FNODE)FA1(f));

pa = (NODE)FA0((FNODE)FA1(pat));

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;

m = append_node(m1,m);

fa = NEXT(fa); pa = NEXT(pa);

Line 3097 FNODE fnode_removeith_naryadd(FNODE p,int i)

Line 3567 FNODE fnode_removeith_naryadd(FNODE p,int i)

l = length(a);

if ( i < 0 || i >= l ) error("fnode_removeith_naryadd: invalid index");

else if ( i == 0 )

return fnode_node_to_naryadd(NEXT(a));

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_naryadd(r0);

return fnode_node_to_nary(addfs,r0);

}

Line 3126 FNODE fnode_left_narymul(FNODE p,int i)

Line 3596 FNODE fnode_left_narymul(FNODE p,int i)

BDY(r) = BDY(t);

}

NEXT(r) = 0;

return fnode_node_to_narymul(r0);

return fnode_node_to_nary(mulfs,r0);

}

Line 3142 FNODE fnode_right_narymul(FNODE p,int i)

Line 3612 FNODE fnode_right_narymul(FNODE p,int i)

if ( i == l-1 ) return 0;

else {

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 3184 int nfnode_match_naryadd(FNODE f,FNODE p,NODE *rp)

Line 3654 int nfnode_match_naryadd(FNODE f,FNODE p,NODE *rp)

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);

prr = rewrite_fnode(pr,m,0);

if ( nfnode_match(fr,prr,&m1) ) {

*rp = append_node(m,m1);

return 1;

Line 3218 int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp)

Line 3688 int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp)

/* 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);

pr = rewrite_fnode(BDY(t),m,0);

if ( !nfnode_match(BDY(s),pr,&m1) ) return 0;

m = append_node(m1,m);

}

Line 3226 int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp)

Line 3696 int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp)

fr = (FNODE)BDY(s);

else

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;

*rp = append_node(m1,m);

return 1;

Line 3239 int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp)

Line 3709 int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp)

if ( fi < pi ) continue;

if ( nfnode_match(BDY(s),pivot,&m) ) {

fleft = fnode_left_narymul(f,fi);

pleft1 = rewrite_fnode(pleft,m);

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);

pright1 = rewrite_fnode(pright,m,0);

if ( nfnode_match(fright,pright1,&m1) ) {

*rp = append_node(m1,m);

return 1;

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