| version 1.44, 2004/03/19 01:18:54 |
version 1.96, 2005/11/04 07:03:38 |
|
|
| * 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 1.43 2004/03/15 06:44:50 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.95 2005/11/03 07:41:22 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)=='*')) |
| |
|
| 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 75 void Pstring_to_tb(); |
|
| Line 90 void Pstring_to_tb(); |
|
| void Pquotetotex_tb(); |
void Pquotetotex_tb(); |
| void Pquotetotex(); |
void Pquotetotex(); |
| void Pquotetotex_env(); |
void Pquotetotex_env(); |
| |
void Pflatten_quote(); |
| |
|
| |
void Pquote_is_integer(),Pquote_is_rational(),Pquote_is_number(); |
| |
void Pquote_is_dependent(),Pquote_is_function(); |
| |
void Pquote_normalize(); |
| |
void Pnquote_comp(); |
| |
void Pnquote_match(); |
| |
|
| |
void Pquote_to_funargs(),Pfunargs_to_quote(),Pget_function_name(); |
| |
void Pquote_match(),Pget_quote_id(),Pquote_match_rewrite(); |
| |
void Pquote_to_nary(),Pquote_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 84 void tb_to_string(TB tb,STRING *rp); |
|
| Line 112 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 quote_match(Obj f,Obj pat,NODE *rp); |
| |
|
| 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 98 struct ftab str_tab[] = { |
|
| Line 128 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}, |
| |
|
| |
{"quote_is_number",Pquote_is_number,1}, |
| |
{"quote_is_rational",Pquote_is_rational,1}, |
| |
{"quote_is_integer",Pquote_is_integer,1}, |
| |
{"quote_is_function",Pquote_is_function,1}, |
| |
{"quote_is_dependent",Pquote_is_dependent,2}, |
| |
|
| |
{"quote_normalize",Pquote_normalize,-2}, |
| |
{"quote_match",Pquote_match,2}, |
| |
{"quote_match_rewrite",Pquote_match_rewrite,-4}, |
| |
{"nquote_comp",Pnquote_comp,2}, |
| |
{"nquote_match",Pnquote_match,2}, |
| |
|
| |
{"quote_to_nary",Pquote_to_nary,1}, |
| |
{"quote_to_bin",Pquote_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}, |
| |
{"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 118 int register_symbol_table(Obj arg); |
|
| Line 169 int register_symbol_table(Obj arg); |
|
| int register_conv_rule(Obj arg); |
int register_conv_rule(Obj arg); |
| int register_conv_func(Obj arg); |
int register_conv_func(Obj arg); |
| int register_dp_vars(Obj arg); |
int register_dp_vars(Obj arg); |
| |
int register_dp_vars_origin(Obj arg); |
| |
int register_dp_dvars_origin(Obj arg); |
| |
int register_dp_dvars_prefix(Obj arg); |
| int register_dp_vars_prefix(Obj arg); |
int register_dp_vars_prefix(Obj arg); |
| int register_dp_vars_hweyl(Obj arg); |
int register_dp_vars_hweyl(Obj arg); |
| int register_show_lt(Obj arg); |
int register_show_lt(Obj arg); |
| Line 126 static struct TeXSymbol *user_texsymbol; |
|
| Line 180 static struct TeXSymbol *user_texsymbol; |
|
| static char **dp_vars; |
static char **dp_vars; |
| static int dp_vars_len; |
static int dp_vars_len; |
| static char *dp_vars_prefix; |
static char *dp_vars_prefix; |
| |
static char *dp_dvars_prefix; |
| |
static int dp_vars_origin; |
| |
static int dp_dvars_origin; |
| static int show_lt; |
static int show_lt; |
| static FUNC convfunc; |
static FUNC convfunc; |
| static int is_lt; |
static int is_lt; |
|
|
| {"conv_func",0,register_conv_func}, |
{"conv_func",0,register_conv_func}, |
| {"dp_vars",0,register_dp_vars}, |
{"dp_vars",0,register_dp_vars}, |
| {"dp_vars_prefix",0,register_dp_vars_prefix}, |
{"dp_vars_prefix",0,register_dp_vars_prefix}, |
| |
{"dp_dvars_prefix",0,register_dp_dvars_prefix}, |
| |
{"dp_vars_origin",0,register_dp_vars_origin}, |
| |
{"dp_dvars_origin",0,register_dp_dvars_origin}, |
| {"dp_vars_hweyl",0,register_dp_vars_hweyl}, |
{"dp_vars_hweyl",0,register_dp_vars_hweyl}, |
| {"show_lt",0,register_show_lt}, |
{"show_lt",0,register_show_lt}, |
| {0,0,0}, |
{0,0,0}, |
| Line 309 int register_symbol_table(Obj arg) |
|
| Line 369 int register_symbol_table(Obj arg) |
|
| return 1; |
return 1; |
| } |
} |
| |
|
| |
int register_dp_vars_origin(Obj arg) |
| |
{ |
| |
if ( INT(arg) ) { |
| |
dp_vars_origin = QTOS((Q)arg); |
| |
return 1; |
| |
} else return 0; |
| |
} |
| |
|
| |
int register_dp_dvars_origin(Obj arg) |
| |
{ |
| |
if ( INT(arg) ) { |
| |
dp_dvars_origin = QTOS((Q)arg); |
| |
return 1; |
| |
} else return 0; |
| |
} |
| |
|
| int register_dp_vars_hweyl(Obj arg) |
int register_dp_vars_hweyl(Obj arg) |
| { |
{ |
| if ( INT(arg) ) { |
if ( INT(arg) ) { |
| Line 393 int register_dp_vars_prefix(Obj arg) |
|
| Line 469 int register_dp_vars_prefix(Obj arg) |
|
| } else return 0; |
} else return 0; |
| } |
} |
| |
|
| |
int register_dp_dvars_prefix(Obj arg) |
| |
{ |
| |
if ( !arg ) { |
| |
dp_dvars_prefix = 0; |
| |
return 1; |
| |
} else if ( OID(arg) == O_STR ) { |
| |
dp_dvars_prefix = BDY((STRING)arg); |
| |
return 1; |
| |
} else if ( OID(arg) == O_P ) { |
| |
dp_dvars_prefix = NAME(VR((P)arg)); |
| |
return 1; |
| |
} else return 0; |
| |
} |
| |
|
| void Pquotetotex_env(NODE arg,Obj *rp) |
void Pquotetotex_env(NODE arg,Obj *rp) |
| { |
{ |
| int ac,i; |
int ac,i; |
| Line 457 void Pwrite_to_tb(NODE arg,Q *rp) |
|
| Line 547 void Pwrite_to_tb(NODE arg,Q *rp) |
|
| *rp = 0; |
*rp = 0; |
| } |
} |
| |
|
| |
FNODE partial_eval(FNODE), fnode_to_nary(FNODE), fnode_to_bin(FNODE,int); |
| |
|
| |
void Pquote_to_nary(NODE arg,QUOTE *rp) |
| |
{ |
| |
FNODE f; |
| |
|
| |
f = fnode_to_nary(BDY((QUOTE)ARG0(arg))); |
| |
MKQUOTE(*rp,f); |
| |
} |
| |
|
| |
void Pquote_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 Pquote_is_number(NODE arg,Q *rp) |
| |
{ |
| |
QUOTE q; |
| |
int ret; |
| |
|
| |
q = (QUOTE)ARG0(arg); |
| |
asir_assert(q,O_QUOTE,"quote_is_number"); |
| |
ret = fnode_is_number(BDY(q)); |
| |
STOQ(ret,*rp); |
| |
} |
| |
|
| |
void Pquote_is_rational(NODE arg,Q *rp) |
| |
{ |
| |
QUOTE q; |
| |
int ret; |
| |
|
| |
q = (QUOTE)ARG0(arg); |
| |
asir_assert(q,O_QUOTE,"quote_is_rational"); |
| |
ret = fnode_is_rational(BDY(q)); |
| |
STOQ(ret,*rp); |
| |
} |
| |
|
| |
void Pquote_is_integer(NODE arg,Q *rp) |
| |
{ |
| |
QUOTE q; |
| |
int ret; |
| |
|
| |
q = (QUOTE)ARG0(arg); |
| |
asir_assert(q,O_QUOTE,"quote_is_integer"); |
| |
ret = fnode_is_integer(BDY(q)); |
| |
STOQ(ret,*rp); |
| |
} |
| |
|
| |
void Pquote_is_function(NODE arg,Q *rp) |
| |
{ |
| |
QUOTE q; |
| |
int ret; |
| |
|
| |
q = (QUOTE)ARG0(arg); |
| |
asir_assert(q,O_QUOTE,"quote_is_function"); |
| |
if ( q->id == I_FUNC || q->id == I_IFUNC ) |
| |
ret = 1; |
| |
else |
| |
ret = 0; |
| |
STOQ(ret,*rp); |
| |
} |
| |
|
| |
void Pquote_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,"quote_is_dependent"); |
| |
asir_assert(v,O_QUOTE,"quote_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 Pquote_match(NODE arg,Q *rp) |
| |
{ |
| |
FNODE f,g; |
| |
Obj obj; |
| |
QUOTE q; |
| |
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); |
| |
#endif |
| |
if ( ret ) { |
| |
do_assign(r); |
| |
*rp = ONE; |
| |
} else |
| |
*rp = 0; |
| |
} |
| |
|
| |
void Pnquote_match(NODE arg,Q *rp) |
| |
{ |
| |
QUOTE fq,pq; |
| |
FNODE f,p; |
| |
int ret; |
| |
NODE r; |
| |
|
| |
fq = (QUOTE)ARG0(arg); Pquote_normalize(mknode(2,fq,0),&fq); f = (FNODE)BDY(fq); |
| |
pq = (QUOTE)ARG1(arg); Pquote_normalize(mknode(2,pq,0),&pq); p = (FNODE)BDY(pq); |
| |
ret = nfnode_match(f,p,&r); |
| |
if ( ret ) { |
| |
fnode_do_assign(r); |
| |
*rp = ONE; |
| |
} else |
| |
*rp = 0; |
| |
} |
| |
|
| |
FNODE rewrite_fnode(FNODE,NODE); |
| |
|
| |
extern Obj VOIDobj; |
| |
|
| |
void Pquote_match_rewrite(NODE arg,Obj *rp) |
| |
{ |
| |
FNODE f,g,h,c,value; |
| |
Obj obj; |
| |
QUOTE q; |
| |
NODE r,t,s,s0,pair; |
| |
int ret,ind,ac; |
| |
|
| |
obj = (Obj)ARG0(arg); |
| |
ret = quote_match(obj,(Obj)ARG1(arg),&r); |
| |
if ( ret ) { |
| |
for ( t = r, s0 = 0; t; t = NEXT(t) ) { |
| |
NEXTNODE(s0,s); |
| |
pair = BDY((LIST)BDY(t)); |
| |
ind = (int)FA0((FNODE)BDY((QUOTE)BDY(pair))); |
| |
value = BDY((QUOTE)(BDY(NEXT(pair)))); |
| |
BDY(s) = mknode(2,ind,value); |
| |
} |
| |
if ( s0 ) NEXT(s) = 0; |
| |
switch ( ac = argc(arg) ) { |
| |
case 3: |
| |
h = rewrite_fnode(BDY((QUOTE)ARG2(arg)),s0); |
| |
MKQUOTE(q,h); *rp = (Obj)q; |
| |
break; |
| |
case 4: |
| |
c = rewrite_fnode(BDY((QUOTE)ARG2(arg)),s0); |
| |
if ( eval(c) ) { |
| |
h = rewrite_fnode(BDY((QUOTE)ARG3(arg)),s0); |
| |
MKQUOTE(q,h); *rp = (Obj)q; |
| |
} else |
| |
*rp = VOIDobj; |
| |
break; |
| |
default: |
| |
error("quote_match_rewrite : invalid argument"); |
| |
} |
| |
} else |
| |
*rp = VOIDobj; |
| |
} |
| |
|
| |
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 = (int)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 quote_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); |
| |
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 quote_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 = quote_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 = quote_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 quote_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 quote_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 quote_match_node(tf,tp,rp); |
| |
else { |
| |
rpat = (Obj)BDY(NEXT(parg)); |
| |
return quote_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 = quote_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 quote_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 quote_match_node(farg,parg,rp); |
| |
} |
| |
} |
| |
} |
| |
|
| void Pquotetotex(NODE arg,STRING *rp) |
void Pquotetotex(NODE arg,STRING *rp) |
| { |
{ |
| TB tb; |
TB tb; |
| Line 798 char *symbol_name(char *name) |
|
| Line 1301 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 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; |
int i,len,allzero,elen,elen2,si; |
| C cplx; |
C cplx; |
| char *r; |
char *r; |
| FNODE fi,f2; |
FNODE fi,f2,f1; |
| |
|
| write_tb(" ",tb); |
write_tb(" ",tb); |
| if ( !f ) { |
if ( !f ) { |
| Line 837 void fnodetotex_tb(FNODE f,TB tb) |
|
| Line 1358 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); |
fnodetotex_tb((FNODE)FA1(f),tb); |
| fnodetotex_tb((FNODE)FA2(f),tb); |
write_tb("^{",tb); |
| write_tb("}",tb); |
fnodetotex_tb(strip_paren((FNODE)FA2(f)),tb); |
| } else if ( !strcmp(opname,"^") ) { |
write_tb("} ",tb); |
| fnodetotex_tb((FNODE)FA1(f),tb); |
break; |
| write_tb("^{",tb); |
case '%': |
| fnodetotex_tb((FNODE)FA2(f),tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
| write_tb("} ",tb); |
write_tb(" {\\rm mod}\\, ",tb); |
| } else if ( !strcmp(opname,"%") ) { |
fnodetotex_tb((FNODE)FA2(f),tb); |
| fnodetotex_tb((FNODE)FA1(f),tb); |
break; |
| write_tb(" {\\rm mod}\\, ",tb); |
default: |
| fnodetotex_tb((FNODE)FA2(f),tb); |
error("invalid binary operator"); |
| } else |
break; |
| error("invalid binary operator"); |
} |
| break; |
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); |
| |
} |
| |
break; |
| |
case '*': |
| |
f1 = (FNODE)BDY(args); |
| |
if ( f1->id == I_FORMULA && MUNIQ(FA0(f1)) ) |
| |
write_tb("-",tb); |
| |
else |
| |
fnodetotex_tb(f1,tb); |
| |
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 ) { |
| |
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); |
| |
} |
| |
break; |
| |
default: |
| |
error("invalid nary op"); |
| |
break; |
| |
} |
| |
write_tb(")",tb); |
| |
break; |
| |
|
| case I_COP: |
case I_COP: |
| switch( (cid)FA0(f) ) { |
switch( (cid)FA0(f) ) { |
| Line 894 void fnodetotex_tb(FNODE f,TB tb) |
|
| Line 1464 void fnodetotex_tb(FNODE f,TB tb) |
|
| break; |
break; |
| case C_GT: |
case C_GT: |
| fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
| write_tb(" \\gt ",tb); |
write_tb(" > ",tb); |
| fnodetotex_tb((FNODE)FA2(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
| break; |
break; |
| case C_LT: |
case C_LT: |
| fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
| write_tb(" \\lt ",tb); |
write_tb(" < ",tb); |
| fnodetotex_tb((FNODE)FA2(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
| break; |
break; |
| case C_GE: |
case C_GE: |
| Line 929 void fnodetotex_tb(FNODE f,TB tb) |
|
| Line 1499 void fnodetotex_tb(FNODE f,TB tb) |
|
| break; |
break; |
| case L_GT: |
case L_GT: |
| fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
| write_tb(" \\gt ",tb); |
write_tb(" > ",tb); |
| fnodetotex_tb((FNODE)FA2(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
| break; |
break; |
| case L_LT: |
case L_LT: |
| fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
| write_tb(" \\lt ",tb); |
write_tb(" < ",tb); |
| fnodetotex_tb((FNODE)FA2(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
| break; |
break; |
| case L_GE: |
case L_GE: |
| Line 1047 void fnodetotex_tb(FNODE f,TB tb) |
|
| Line 1617 void fnodetotex_tb(FNODE f,TB tb) |
|
| strcpy(prefix,dp_vars_prefix?dp_vars_prefix:"x"); |
strcpy(prefix,dp_vars_prefix?dp_vars_prefix:"x"); |
| prefix_conv = conv_rule(prefix); |
prefix_conv = conv_rule(prefix); |
| vname_conv = (char *)ALLOCA(strlen(prefix_conv)+50); |
vname_conv = (char *)ALLOCA(strlen(prefix_conv)+50); |
| sprintf(vname_conv,i<10?"%s_%d":"%s_{%d}", |
si = i+dp_vars_origin; |
| prefix_conv,i); |
sprintf(vname_conv,(si>=0&&si<10)?"%s_%d":"%s_{%d}", |
| |
prefix_conv,si); |
| } else if ( i < elen ) { |
} else if ( i < elen ) { |
| strcpy(prefix,"\\partial"); |
strcpy(prefix, |
| |
dp_dvars_prefix?dp_dvars_prefix:"\\partial"); |
| prefix_conv = conv_rule(prefix); |
prefix_conv = conv_rule(prefix); |
| vname_conv = (char *)ALLOCA(strlen(prefix_conv)+50); |
vname_conv = (char *)ALLOCA(strlen(prefix_conv)+50); |
| sprintf(vname_conv,i<10?"%s_%d":"%s_{%d}", |
si = i+dp_dvars_origin-elen2; |
| prefix_conv,i-elen2); |
sprintf(vname_conv,(si>=0&&si<10)?"%s_%d":"%s_{%d}", |
| |
prefix_conv,si); |
| } else { |
} else { |
| strcpy(prefix,"h"); |
strcpy(prefix,"h"); |
| vname_conv = conv_rule(prefix); |
vname_conv = conv_rule(prefix); |
| Line 1063 void fnodetotex_tb(FNODE f,TB tb) |
|
| Line 1636 void fnodetotex_tb(FNODE f,TB tb) |
|
| strcpy(prefix,dp_vars_prefix?dp_vars_prefix:"x"); |
strcpy(prefix,dp_vars_prefix?dp_vars_prefix:"x"); |
| prefix_conv = conv_rule(prefix); |
prefix_conv = conv_rule(prefix); |
| vname_conv = (char *)ALLOCA(strlen(prefix_conv)+50); |
vname_conv = (char *)ALLOCA(strlen(prefix_conv)+50); |
| sprintf(vname_conv,i<10?"%s_%d":"%s_{%d}", |
si = i+dp_vars_origin; |
| prefix_conv,i); |
sprintf(vname_conv,(si>=0&&si<10)?"%s_%d":"%s_{%d}", |
| |
prefix_conv,si); |
| } |
} |
| } |
} |
| if ( fi->id == I_FORMULA && UNIQ(FA0(fi)) ) { |
if ( fi->id == I_FORMULA && UNIQ(FA0(fi)) ) { |
| Line 1152 char *objtostr(Obj obj) |
|
| Line 1726 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 1231 int top_is_minus(FNODE f) |
|
| Line 1841 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; |
| |
} |
| |
} |
| |
|
| |
FNODE flatten_fnode(FNODE,char *); |
| |
|
| |
void Pflatten_quote(NODE arg,Obj *rp) |
| |
{ |
| |
FNODE f; |
| |
QUOTE q; |
| |
|
| |
if ( !ARG0(arg) || OID((Obj)ARG0(arg)) != O_QUOTE ) |
| |
*rp = (Obj)ARG0(arg); |
| |
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); |
| |
} |
| |
|
| |
FNODE fnode_apply(FNODE f,FNODE (*func)(),int expand); |
| |
FNODE fnode_normalize(FNODE f,int expand); |
| |
|
| |
void Pquote_normalize(NODE arg,QUOTE *rp) |
| |
{ |
| |
QUOTE q,r; |
| |
FNODE f; |
| |
int expand,ac; |
| |
|
| |
ac = argc(arg); |
| |
if ( !ac ) error("quote_normalize : invalid argument"); |
| |
q = (QUOTE)ARG0(arg); |
| |
expand = ac==2 && ARG1(arg); |
| |
if ( !q || OID(q) != O_QUOTE ) { |
| |
*rp = q; |
| |
return; |
| |
} else if ( q->normalized && (q->expanded || !expand) ) |
| |
*rp = q; |
| |
else { |
| |
f = fnode_normalize(BDY(q),expand); |
| |
MKQUOTE(r,f); |
| |
r->normalized = 1; |
| |
if ( expand ) r->expanded = 1; |
| |
*rp = r; |
| |
} |
| |
} |
| |
|
| |
void Pnquote_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); |
| |
if ( !q1->normalized ) f1 = fnode_normalize(f1,0); |
| |
if ( !q2->normalized ) f2 = fnode_normalize(f2,0); |
| |
r = nfnode_comp(f1,f2); |
| |
STOQ(r,*rp); |
| |
} |
| |
|
| |
INLINE 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 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; |
| |
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((Num)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((Num)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; |
| |
Num 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 { |
| |
addnum(0,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_naryadd(r0); |
| |
} |
| |
|
| |
FNODE fnode_node_to_naryadd(NODE n) |
| |
{ |
| |
if ( !n ) return mkfnode(1,I_FORMULA,0); |
| |
else if ( !NEXT(n) ) return BDY(n); |
| |
else return mkfnode(2,I_NARYOP,addfs,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; |
| |
int l1,l,i,j; |
| |
|
| |
if ( IS_ZERO(f1) || IS_ZERO(f2) ) return mkfnode(1,I_FORMULA,0); |
| |
else if ( fnode_is_number(f1) ) |
| |
return nfnode_mul_coef((Num)eval(f1),f2,expand); |
| |
else if ( fnode_is_number(f2) ) |
| |
return nfnode_mul_coef((Num)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); |
| |
mulnum(0,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; |
| |
addnum(0,eval(e1),eval(e2),&e); |
| |
if ( !e ) i--; |
| |
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_narymul(r); |
| |
} |
| |
|
| |
FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand) |
| |
{ |
| |
FNODE b,b1,e1,e,cc,r,mf2,mone,inv; |
| |
Num c,c1,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) ) { |
| |
if ( fnode_is_integer(f2) ) { |
| |
if ( fnode_is_one(f2) ) return f1; |
| |
else { |
| |
pwrnum(0,(Num)eval(f1),(Num)eval(f2),&c); |
| |
return mkfnode(1,I_FORMULA,c); |
| |
} |
| |
} else |
| |
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); |
| |
pwrnum(0,(Num)c1,nf2,&c); |
| |
ee = QTOS((Q)nf2); |
| |
cc = mkfnode(1,I_FORMULA,c); |
| |
if ( fnode_is_nonnegative_integer(f2) ) |
| |
b = fnode_expand_pwr(b1,ee); |
| |
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_narymul(t0); |
| |
b = fnode_expand_pwr(b1,-ee); |
| |
} |
| |
if ( fnode_is_one(cc) ) |
| |
return b; |
| |
else |
| |
return fnode_node_to_narymul(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)); |
| |
} else |
| |
return mkfnode(3,I_BOP,pwrfs,f1,f2); |
| |
} |
| |
|
| |
FNODE fnode_expand_pwr(FNODE f,int n) |
| |
{ |
| |
int n1; |
| |
FNODE f1,f2; |
| |
|
| |
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; |
| |
f1 = fnode_expand_pwr(f,n1); |
| |
f2 = nfnode_mul(f1,f1,1); |
| |
if ( n%2 ) f2 = nfnode_mul(f2,f,1); |
| |
return f2; |
| |
} |
| |
} |
| |
|
| |
/* 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(Num c,FNODE f,int expand) |
| |
{ |
| |
FNODE b1,cc; |
| |
Num 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); |
| |
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_narymul(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); |
| |
} else |
| |
return fnode_node_to_narymul(mknode(2,cc,b1)); |
| |
} |
| |
} |
| |
} |
| |
|
| |
void fnode_coef_body(FNODE f,Num *cp,FNODE *bp) |
| |
{ |
| |
FNODE c; |
| |
|
| |
if ( fnode_is_number(f) ) { |
| |
*cp = eval(f); *bp = mkfnode(1,I_FORMULA,ONE); |
| |
} else if ( IS_NARYMUL(f) ) { |
| |
c=(FNODE)BDY((NODE)FA1(f)); |
| |
if ( fnode_is_number(c) ) { |
| |
*cp = eval(c); |
| |
*bp = fnode_node_to_narymul(NEXT((NODE)FA1(f))); |
| |
} else { |
| |
*cp = (Num)ONE; *bp = f; |
| |
} |
| |
} else { |
| |
*cp = (Num)ONE; *bp = f; |
| |
} |
| |
} |
| |
|
| |
int nfnode_comp_pwr(FNODE f1,FNODE f2); |
| |
|
| |
int nfnode_comp(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; |
| |
|
| |
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; |
| |
else { |
| |
n1 = NEXT(n1); n2 = NEXT(n2); |
| |
} |
| |
return n1?1:(n2?-1:0); |
| |
} |
| |
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); |
| |
b1 = to_narymul(b1); b2 = to_narymul(b2); |
| |
n1 = (NODE)FA1(b1); n2 = (NODE)FA1(b2); |
| |
while ( 1 ) { |
| |
while ( n1 && n2 && !compfnode(BDY(n1),BDY(n2)) ) { |
| |
n1 = NEXT(n1); n2 = NEXT(n2); |
| |
} |
| |
if ( !n1 || !n2 ) { |
| |
return n1?1:(n2?-1:0); |
| |
} |
| |
fnode_base_exp(BDY(n1),&b1,&e1); |
| |
fnode_base_exp(BDY(n2),&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 { |
| |
n1 = NEXT(n1); n2 = NEXT(n2); |
| |
if ( fnode_is_number(e1) && fnode_is_number(e2) ) { |
| |
/* f1 = t b^e1 ... , f2 = t b^e2 ... */ |
| |
subnum(0,eval(e1),eval(e2),&ee); |
| |
r = compnum(0,ee,0); |
| |
if ( r > 0 ) { |
| |
g = mkfnode(3,I_BOP,pwrfs,b1,mkfnode(1,I_FORMULA,ee)); |
| |
MKNODE(n1,g,n1); |
| |
} else if ( r < 0 ) { |
| |
chsgnnum(ee,&ee1); |
| |
g = mkfnode(3,I_BOP,pwrfs,b1,mkfnode(1,I_FORMULA,ee1)); |
| |
MKNODE(n2,g,n2); |
| |
} |
| |
} else { |
| |
r = nfnode_comp(e1,e2); |
| |
if ( r > 0 ) return 1; |
| |
else if ( r < 0 ) return -1; |
| |
} |
| |
} |
| |
} |
| |
} |
| |
if ( IS_BINARYPWR(f1) || IS_BINARYPWR(f2) ) |
| |
return nfnode_comp_pwr(f1,f2); |
| |
|
| |
/* 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 */ |
| |
switch ( f1->id ) { |
| |
case I_FORMULA: |
| |
switch ( f2->id ) { |
| |
case I_FORMULA: |
| |
return arf_comp(CO,FA0(f1),FA0(f2)); |
| |
case I_FUNC: case I_IFUNC: case I_PVAR: |
| |
return -1; |
| |
default: |
| |
error("nfnode_comp : undefined"); |
| |
} |
| |
break; |
| |
case I_FUNC: |
| |
switch ( f2->id ) { |
| |
case I_FORMULA: |
| |
return 1; |
| |
case I_PVAR: case I_IFUNC: |
| |
return -1; |
| |
case I_FUNC: |
| |
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(BDY(n1),BDY(n2)) ) return r; |
| |
else { |
| |
n1 = NEXT(n1); n2 = NEXT(n2); |
| |
} |
| |
return n1?1:(n2?-1:0); |
| |
} |
| |
break; |
| |
default: |
| |
error("nfnode_comp : undefined"); |
| |
} |
| |
case I_PVAR: |
| |
switch ( f2->id ) { |
| |
case I_FORMULA: case I_FUNC: |
| |
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 : undefined"); |
| |
} |
| |
break; |
| |
case I_IFUNC: |
| |
switch ( f2->id ) { |
| |
case I_FORMULA: case I_FUNC: 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(BDY(n1),BDY(n2)) ) return r; |
| |
else { |
| |
n1 = NEXT(n1); n2 = NEXT(n2); |
| |
} |
| |
return n1?1:(n2?-1:0); |
| |
} |
| |
break; |
| |
|
| |
default: |
| |
error("nfnode_comp : undefined"); |
| |
} |
| |
break; |
| |
default: |
| |
error("nfnode_comp : 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; |
| |
|
| |
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; |
| |
|
| |
switch ( pat->id ) { |
| |
case I_PVAR: |
| |
/* [[pat,f]] */ |
| |
*rp = mknode(1,mknode(2,(int)FA0(pat),f),0); |
| |
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); |
| |
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); |
| |
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_naryadd(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); |
| |
} |
| |
|
| |
} |
| |
|
| |
/* 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 mkfnode(1,I_FORMULA,ONE); |
| |
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_narymul(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 mkfnode(1,I_FORMULA,ONE); |
| |
else { |
| |
for ( k = 0, t = a; k <= i; k++, t = NEXT(t) ); |
| |
return fnode_node_to_narymul(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); |
| |
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); |
| |
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); |
| |
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 ( nfnode_match(BDY(s),pivot,&m) ) { |
| |
fleft = fnode_left_narymul(f,fi); |
| |
pleft1 = rewrite_fnode(pleft,m); |
| |
if ( nfnode_match(fleft,pleft1,&m1) ) { |
| |
m = append_node(m1,m); |
| |
fright = fnode_right_narymul(f,fi); |
| |
pright1 = rewrite_fnode(pright,m); |
| |
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"); |
| } |
} |
| } |
} |
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