=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/strobj.c,v retrieving revision 1.31 retrieving revision 1.72 diff -u -p -r1.31 -r1.72 --- OpenXM_contrib2/asir2000/builtin/strobj.c 2004/03/09 06:12:47 1.31 +++ OpenXM_contrib2/asir2000/builtin/strobj.c 2005/10/14 06:00:03 1.72 @@ -45,7 +45,7 @@ * 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 1.30 2004/03/09 03:14:24 noro Exp $ + * $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.71 2005/10/12 14:43:36 noro Exp $ */ #include "ca.h" #include "parse.h" @@ -63,8 +63,11 @@ struct TeXSymbol { char *symbol; }; +#define OPNAME(f) (((ARF)FA0(f))->name[0]) + extern char *parse_strp; +void Psprintf(); void Prtostr(), Pstrtov(), Peval_str(); void Pstrtoascii(), Pasciitostr(); void Pstr_len(), Pstr_chr(), Psub_str(); @@ -75,16 +78,29 @@ void Pstring_to_tb(); void Pquotetotex_tb(); void Pquotetotex(); 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 Pquote_to_funargs(),Pfunargs_to_quote(),Pget_function_name(); +void Pquote_unify(),Pget_quote_id(),Pquote_match_rewrite(); +void Pquote_to_nary(),Pquote_to_bin(); +void do_assign(NODE arg); void fnodetotex_tb(FNODE f,TB tb); char *symbol_name(char *name); char *conv_rule(char *name); -char *conv_subscript(char *name); +char *conv_subs(char *name); char *call_convfunc(char *name); 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_unify(Obj f,Obj pat,NODE *rp); struct ftab str_tab[] = { + {"sprintf",Psprintf,-99999999}, {"rtostr",Prtostr,1}, {"strtov",Pstrtov,1}, {"eval_str",Peval_str,1}, @@ -97,9 +113,27 @@ struct ftab str_tab[] = { {"clear_tb",Pclear_tb,1}, {"tb_to_string",Ptb_to_string,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,1}, + + {"quote_to_nary",Pquote_to_nary,1}, + {"quote_to_bin",Pquote_to_bin,2}, {"quotetotex_tb",Pquotetotex_tb,2}, {"quotetotex",Pquotetotex,1}, {"quotetotex_env",Pquotetotex_env,-99999999}, + {"flatten_quote",Pflatten_quote,-2}, + {"quote_to_funargs",Pquote_to_funargs,1}, + {"quote_unify",Pquote_unify,2}, + {"quote_match_rewrite",Pquote_match_rewrite,-4}, + {"funargs_to_quote",Pfunargs_to_quote,1}, + {"get_function_name",Pget_function_name,1}, {0,0,0}, }; @@ -115,23 +149,31 @@ void write_tb(char *s,TB tb) int register_symbol_table(Obj arg); int register_conv_rule(Obj arg); +int register_conv_func(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_hweyl(Obj arg); int register_show_lt(Obj arg); +char *objtostr(Obj obj); static struct TeXSymbol *user_texsymbol; static char **dp_vars; static int dp_vars_len; 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 FUNC convfunc; static int is_lt; static int conv_flag; static int dp_vars_hweyl; -#define CONV_SUBSCRIPT (1U<<0) -#define CONV_DMODE (1U<<1) -#define CONV_USERFUNC (1U<<31) +#define CONV_TABLE (1U<<0) +#define CONV_SUBS (1U<<1) +#define CONV_DMODE (1U<<2) static struct { char *name; @@ -140,8 +182,12 @@ static struct { } qtot_env[] = { {"symbol_table",0,register_symbol_table}, {"conv_rule",0,register_conv_rule}, + {"conv_func",0,register_conv_func}, {"dp_vars",0,register_dp_vars}, {"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}, {"show_lt",0,register_show_lt}, {0,0,0}, @@ -152,78 +198,93 @@ static struct { char *conv_rule(char *name) { char *body,*r; + int len; - if ( conv_flag & CONV_DMODE ) { - if ( *name == 'd' ) { - if ( conv_flag & CONV_SUBSCRIPT ) - body = conv_subscript(name+1); - else - body = name+1; - r = MALLOC_ATOMIC((strlen(PARTIAL)+strlen(body)+5)*sizeof(char)); - sprintf(r,"{%s}_{%s}",PARTIAL,body); - return r; - } else { - if ( conv_flag & CONV_SUBSCRIPT ) - body = conv_subscript(name); - else - body = name; - } - } else if ( conv_flag & CONV_SUBSCRIPT ) - return conv_subscript(name); - else if ( conv_flag & CONV_USERFUNC && convfunc ) - return call_convfunc(name); - else - return name; + if ( convfunc ) + name = call_convfunc(name); + if ( conv_flag & CONV_TABLE ) { + r = symbol_name(name); + if ( r ) return r; + } + if ( (conv_flag & CONV_DMODE) && *name == 'd' ) { + body = conv_rule(name+1); + r = MALLOC_ATOMIC((strlen(PARTIAL)+strlen(body)+5)*sizeof(char)); + if ( !body || !(len=strlen(body)) ) + strcpy(r,PARTIAL); + else if ( len == 1 ) + sprintf(r,"%s_%s",PARTIAL,body); + else + sprintf(r,"%s_{%s}",PARTIAL,body); + return r; + } else + return conv_subs(name); } -char *conv_subscript(char *name) +int _is_delimiter(char c) { + if ( (c == ' ' || c == '_' || c == ',') ) return 1; + else return 0; +} + +int _is_alpha(char c) +{ + if ( isdigit(c) || c == '{' || _is_delimiter(c) ) return 0; + else return 1; +} + +char *conv_subs(char *name) +{ int i,j,k,len,clen,slen,start,level; - char *buf,*head,*r,*h; + char *buf,*head,*r,*h,*brace,*buf_conv; char **subs; - len = strlen(name); - i = 0; - if ( name[i] == '{' ) { - for ( level = 1, i++; i < len && level; i++ ) { - if ( name[i] == '{' ) level++; - else if ( name[i] == '}' ) level--; - } - } - for ( ; i < len && (isalpha(name[i]) || name[i]=='\\'); i++ ); - if ( i == len ) return symbol_name(name); - buf = (char *)ALLOCA((i+1)*sizeof(char)); - strncpy(buf,name,i); buf[i] = 0; - head = symbol_name(buf); + if ( !name || !(len=strlen(name)) ) return ""; + if ( !(conv_flag&CONV_SUBS) ) return name; subs = (char **)ALLOCA(len*sizeof(char* )); - for ( j = 0, start = i; ; j++ ) { - while ( (i < len) && (name[i] == '_' || name[i] == ',') ) i++; - if ( i == len ) break; + for ( i = 0, j = 0, start = i; ; j++ ) { + while ( (i < len) && _is_delimiter(name[i]) ) i++; start = i; + if ( i == len ) break; if ( name[i] == '{' ) { for ( level = 1, i++; i < len && level; i++ ) { if ( name[i] == '{' ) level++; else if ( name[i] == '}' ) level--; } - } else if ( isdigit(name[i]) ) - while ( i < len && isdigit(name[i]) ) i++; - else - while ( i < len && (isalpha(name[i]) || name[i] == '\\') ) i++; - slen = i-start; - buf = (char *)ALLOCA((slen+1)*sizeof(char)); - strncpy(buf,name+start,slen); buf[slen] = 0; - subs[j] = symbol_name(buf); + slen = i-start; + if ( slen >= 3 ) { + brace = (char *)ALLOCA((slen+1)*sizeof(char)); + strncpy(brace,name+start+1,slen-2); + brace[slen-2] = 0; + buf = conv_subs(brace); + subs[j] = (char *)ALLOCA((strlen(buf)+3)*sizeof(char)); + if ( strlen(buf) == 1 ) + strcpy(subs[j],buf); + else + sprintf(subs[j],"{%s}",buf); + } else + subs[j] = "{}"; + } else { + if ( isdigit(name[i]) ) + while ( i < len && isdigit(name[i]) ) i++; + else + while ( i < len && _is_alpha(name[i]) ) i++; + slen = i-start; + buf = (char *)ALLOCA((slen+1)*sizeof(char)); + strncpy(buf,name+start,slen); buf[slen] = 0; + buf_conv = symbol_name(buf); + subs[j] = buf_conv?buf_conv:buf; + } } - for ( k = 0, clen = strlen(head); k < j; k++ ) clen += strlen(subs[k]); - /* {head}_{{subs(0)},...,{subs(j-1)}} => {}:j+2 _:1 ,:j-1 */ - h = r = MALLOC_ATOMIC((clen+(j+2)*2+1+(j-1)+1)*sizeof(char)); - if ( !j ) - sprintf(h,"{%s}",head); + for ( k = 0, clen = 0; k < j; k++ ) clen += strlen(subs[k]); + /* {subs(0)}_{{subs(1)},...,{subs(j-1)}} => {}:j+1 _:1 ,:j-2 */ + h = r = MALLOC_ATOMIC((clen+(j+1)*2+1+(j-2)+1)*sizeof(char)); + if ( j == 1 ) + sprintf(h,"{%s}",subs[0]); else { - sprintf(h,"{%s}_{{%s}",head,subs[0]); + sprintf(h,"{%s}_{%s",subs[0],subs[1]); h += strlen(h); - for ( k = 1; k < j; k++ ) { - sprintf(h,",{%s}",subs[k]); + for ( k = 2; k < j; k++ ) { + sprintf(h,",%s",subs[k]); h += strlen(h); } strcpy(h,"}"); @@ -290,6 +351,22 @@ int register_symbol_table(Obj arg) 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) { if ( INT(arg) ) { @@ -312,9 +389,15 @@ int register_conv_rule(Obj arg) conv_flag = QTOS((Q)arg); convfunc = 0; return 1; - } else if ( OID(arg) == O_P && - (int)(VR((P)arg))->attr == V_SR ) { - conv_flag = CONV_USERFUNC; + } else return 0; +} + +int register_conv_func(Obj arg) +{ + if ( !arg ) { + convfunc = 0; + return 1; + } else if ( OID(arg) == O_P && (int)(VR((P)arg))->attr == V_SR ) { convfunc = (FUNC)(VR((P)arg)->priv); /* f must be a function which takes single argument */ return 1; @@ -368,6 +451,20 @@ int register_dp_vars_prefix(Obj arg) } 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) { int ac,i; @@ -386,6 +483,13 @@ void Pquotetotex_env(NODE arg,Obj *rp) NEXT(n) = 0; MKLIST(l,n0); *rp = (Obj)l; + } else if ( ac == 1 && !ARG0(arg) ) { + /* set to default */ + for ( i = 0; qtot_env[i].name; i++ ) { + (qtot_env[i].reg)(0); + qtot_env[i].value = 0; + } + *rp = 0; } else if ( ac == 1 || ac == 2 ) { asir_assert(ARG0(arg),O_STR,"quotetotex_env"); name = BDY((STRING)ARG0(arg)); @@ -425,6 +529,379 @@ void Pwrite_to_tb(NODE arg,Q *rp) *rp = 0; } +FNODE partial_eval(FNODE), fnode_to_nary(FNODE), fnode_to_bin(FNODE,int); +FNODE fnode_normalize(FNODE); + +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_unify(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_unify((Obj)q,(Obj)ARG1(arg),&r); +#else + obj = (Obj)ARG0(arg); + ret = quote_unify(obj,(Obj)ARG1(arg),&r); +#endif + if ( ret ) { + 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_unify(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 = mkfnode(1,I_FORMULA,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); + *rp = eval(h); + break; + case 4: + c = rewrite_fnode(BDY((QUOTE)ARG2(arg)),s0); + if ( eval(c) ) { + h = rewrite_fnode(BDY((QUOTE)ARG3(arg)),s0); + *rp = eval(h); + } 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); + } +} + +/* +/* 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_unify_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_unify((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_unify_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_unify((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_unify((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_unify(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_unify_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_unify_node(tf,tp,rp); + else { + rpat = (Obj)BDY(NEXT(parg)); + return quote_unify_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_unify(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_unify_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_unify_node(farg,parg,rp); + } + } +} + void Pquotetotex(NODE arg,STRING *rp) { TB tb; @@ -751,6 +1228,11 @@ char *symbol_name(char *name) { int i; + if ( !name || strlen(name) == 0 ) + return ""; + if ( !(conv_flag & CONV_TABLE) ) + return name; + if ( user_texsymbol ) for ( i = 0; user_texsymbol[i].text; i++ ) if ( !strcmp(user_texsymbol[i].text,name) ) @@ -758,16 +1240,36 @@ char *symbol_name(char *name) for ( i = 0; texsymbol[i].text; i++ ) if ( !strcmp(texsymbol[i].text,name) ) return texsymbol[i].symbol; - return name; + 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) { NODE n,t,t0; - char vname[BUFSIZ]; - char *opname,*vname_conv; + char vname[BUFSIZ],prefix[BUFSIZ]; + char *opname,*vname_conv,*prefix_conv; Obj obj; - int i,len,allzero,elen,elen2; + int i,len,allzero,elen,elen2,si; + C cplx; + char *r; FNODE fi,f2; write_tb(" ",tb); @@ -798,47 +1300,56 @@ void fnodetotex_tb(FNODE f,TB tb) /* otherwise => FA1(f), FA2(f) */ case I_BOP: opname = ((ARF)FA0(f))->name; - if ( !strcmp(opname,"+") ) { - fnodetotex_tb((FNODE)FA1(f),tb); - write_tb(opname,tb); - fnodetotex_tb((FNODE)FA2(f),tb); - } else if ( !strcmp(opname,"-") ) { - if ( FA1(f) ) fnodetotex_tb((FNODE)FA1(f),tb); - write_tb(opname,tb); - fnodetotex_tb((FNODE)FA2(f),tb); - } else if ( !strcmp(opname,"*") ) { - fnodetotex_tb((FNODE)FA1(f),tb); - write_tb(" ",tb); - /* XXX special care for DP */ - f2 = (FNODE)FA2(f); - 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 ) + switch ( opname[0] ) { + case '+': + fnodetotex_tb((FNODE)FA1(f),tb); + if ( !top_is_minus((FNODE)FA2(f)) ) write_tb(opname,tb); + fnodetotex_tb((FNODE)FA2(f),tb); + break; + case '-': + if ( FA1(f) ) fnodetotex_tb((FNODE)FA1(f),tb); + write_tb(opname,tb); + fnodetotex_tb((FNODE)FA2(f),tb); + break; + case '*': + fnodetotex_tb((FNODE)FA1(f),tb); + write_tb(" ",tb); + /* XXX special care for DP */ + f2 = (FNODE)FA2(f); + 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((FNODE)FA2(f),tb); + } else 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); - } else if ( !strcmp(opname,"/") ) { - write_tb("\\frac{",tb); - fnodetotex_tb((FNODE)FA1(f),tb); - write_tb("} {",tb); - fnodetotex_tb((FNODE)FA2(f),tb); - write_tb("}",tb); - } else if ( !strcmp(opname,"^") ) { - fnodetotex_tb((FNODE)FA1(f),tb); - write_tb("^{",tb); - fnodetotex_tb((FNODE)FA2(f),tb); - write_tb("} ",tb); - } else if ( !strcmp(opname,"%") ) { - fnodetotex_tb((FNODE)FA1(f),tb); - write_tb(" {\\rm mod}\\, ",tb); - fnodetotex_tb((FNODE)FA2(f),tb); - } else - error("invalid binary operator"); + write_tb("}",tb); + break; + case '^': + fnodetotex_tb((FNODE)FA1(f),tb); + write_tb("^{",tb); + fnodetotex_tb(strip_paren((FNODE)FA2(f)),tb); + write_tb("} ",tb); + break; + case '%': + fnodetotex_tb((FNODE)FA1(f),tb); + write_tb(" {\\rm mod}\\, ",tb); + fnodetotex_tb((FNODE)FA2(f),tb); + break; + default: + error("invalid binary operator"); + break; + } break; case I_COP: @@ -855,12 +1366,12 @@ void fnodetotex_tb(FNODE f,TB tb) break; case C_GT: fnodetotex_tb((FNODE)FA1(f),tb); - write_tb(" \\gt ",tb); + write_tb(" > ",tb); fnodetotex_tb((FNODE)FA2(f),tb); break; case C_LT: fnodetotex_tb((FNODE)FA1(f),tb); - write_tb(" \\lt ",tb); + write_tb(" < ",tb); fnodetotex_tb((FNODE)FA2(f),tb); break; case C_GE: @@ -890,12 +1401,12 @@ void fnodetotex_tb(FNODE f,TB tb) break; case L_GT: fnodetotex_tb((FNODE)FA1(f),tb); - write_tb(" \\gt ",tb); + write_tb(" > ",tb); fnodetotex_tb((FNODE)FA2(f),tb); break; case L_LT: fnodetotex_tb((FNODE)FA1(f),tb); - write_tb(" \\lt ",tb); + write_tb(" < ",tb); fnodetotex_tb((FNODE)FA2(f),tb); break; case L_GE: @@ -954,11 +1465,17 @@ void fnodetotex_tb(FNODE f,TB tb) /* function */ case I_FUNC: - opname = conv_rule(((FUNC)FA0(f))->name); - write_tb(opname,tb); - write_tb("(",tb); - fargstotex_tb(opname,FA1(f),tb); - write_tb(")",tb); + if ( !strcmp(((FUNC)FA0(f))->name,"@pi") ) + write_tb("\\pi",tb); + else if ( !strcmp(((FUNC)FA0(f))->name,"@e") ) + write_tb("e",tb); + else { + opname = conv_rule(((FUNC)FA0(f))->name); + write_tb(opname,tb); + write_tb("(",tb); + fargstotex_tb(opname,FA1(f),tb); + write_tb(")",tb); + } break; /* XXX */ @@ -993,23 +1510,39 @@ void fnodetotex_tb(FNODE f,TB tb) fi = (FNODE)BDY(n); if ( fi->id == I_FORMULA && !FA0(fi) ) continue; allzero = 0; - if ( dp_vars_hweyl ) { - if ( i < elen2 ) - if ( dp_vars_prefix ) - sprintf(vname,"%s_{%d}",dp_vars_prefix,i); - else - sprintf(vname,"x_{%d}",i); - else if ( i < elen ) - sprintf(vname,"{\\partial}_{%d}",i-elen2); - else - strcpy(vname,"h"); - } else if ( dp_vars && i < dp_vars_len ) + if ( dp_vars && i < dp_vars_len ) { strcpy(vname,dp_vars[i]); - else if ( dp_vars_prefix ) - sprintf(vname,"%s_{%d}",dp_vars_prefix,i); - else - sprintf(vname,"x_{%d}",i); - vname_conv = conv_rule(vname); + vname_conv = conv_rule(vname); + } else { + if ( dp_vars_hweyl ) { + if ( i < elen2 ) { + strcpy(prefix,dp_vars_prefix?dp_vars_prefix:"x"); + prefix_conv = conv_rule(prefix); + vname_conv = (char *)ALLOCA(strlen(prefix_conv)+50); + si = i+dp_vars_origin; + sprintf(vname_conv,(si>=0&&si<10)?"%s_%d":"%s_{%d}", + prefix_conv,si); + } else if ( i < elen ) { + strcpy(prefix, + dp_dvars_prefix?dp_dvars_prefix:"\\partial"); + prefix_conv = conv_rule(prefix); + vname_conv = (char *)ALLOCA(strlen(prefix_conv)+50); + si = i+dp_dvars_origin-elen2; + sprintf(vname_conv,(si>=0&&si<10)?"%s_%d":"%s_{%d}", + prefix_conv,si); + } else { + strcpy(prefix,"h"); + vname_conv = conv_rule(prefix); + } + } else { + strcpy(prefix,dp_vars_prefix?dp_vars_prefix:"x"); + prefix_conv = conv_rule(prefix); + vname_conv = (char *)ALLOCA(strlen(prefix_conv)+50); + si = i+dp_vars_origin; + sprintf(vname_conv,(si>=0&&si<10)?"%s_%d":"%s_{%d}", + prefix_conv,si); + } + } if ( fi->id == I_FORMULA && UNIQ(FA0(fi)) ) { len = strlen(vname_conv); opname = MALLOC_ATOMIC(len+2); @@ -1042,15 +1575,32 @@ void fnodetotex_tb(FNODE f,TB tb) /* internal object */ case I_FORMULA: obj = (Obj)FA0(f); - if ( obj && OID(obj) == O_P ) { - opname = conv_rule(VR((P)obj)->name); - } else { - len = estimate_length(CO,obj); - opname = (char *)MALLOC_ATOMIC(len+1); - soutput_init(opname); - sprintexpr(CO,obj); - } - write_tb(opname,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 */ @@ -1066,6 +1616,54 @@ void fnodetotex_tb(FNODE f,TB tb) } } +char *objtostr(Obj obj) +{ + int len; + char *r; + + len = estimate_length(CO,obj); + r = (char *)MALLOC_ATOMIC(len+1); + soutput_init(r); + sprintexpr(CO,obj); + 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) { for ( ; n; n = NEXT(n) ) { @@ -1089,5 +1687,724 @@ void fargstotex_tb(char *name,FNODE f,TB tb) fnodenodetotex_tb(n,tb); } else fnodetotex_tb(f,tb); + } +} + +int top_is_minus(FNODE f) +{ + char *opname; + int len; + Obj obj; + + if ( !f ) + return 0; + switch ( f->id ) { + case I_MINUS: + return 1; + case I_BOP: + opname = ((ARF)FA0(f))->name; + switch ( opname[0] ) { + case '+': case '*': case '/': case '^': case '%': + return top_is_minus((FNODE)FA1(f)); + case '-': + if ( FA1(f) ) + return top_is_minus((FNODE)FA1(f)); + else + return 1; + default: + return 0; + } + break; + case I_COP: + return top_is_minus((FNODE)FA1(f)); + case I_LOP: + if ( (lid)FA0(f) == L_NOT ) return 0; + else return top_is_minus((FNODE)FA1(f)); + case I_AND: case I_OR: + return top_is_minus((FNODE)FA0(f)); + case I_FORMULA: + obj = (Obj)FA0(f); + if ( !obj ) + return 0; + else { + switch ( OID(obj) ) { + case O_N: + return mmono((P)obj); + case O_P: + /* must be a variable */ + opname = conv_rule(VR((P)obj)->name); + return opname[0]=='-'; + default: + /* ??? */ + len = estimate_length(CO,obj); + opname = (char *)MALLOC_ATOMIC(len+1); + soutput_init(opname); + sprintexpr(CO,obj); + return opname[0]=='-'; + } + } + default: + 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)()); +FNODE fnode_normalize(FNODE f); +FNODE fnode_normalize_nary(FNODE f); + +void Pquote_normalize(NODE arg,QUOTE *rp) +{ + QUOTE q,r; + FNODE f; + + q = (QUOTE)ARG0(arg); + if ( !q || OID(q) != O_QUOTE ) { + *rp = q; + return; + } else { + f = fnode_normalize(BDY(q)); + MKQUOTE(r,f); + *rp = r; + } +} + +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_zero(FNODE f) +{ + Q n; + + n = eval(f); + if ( !n ) return 1; + else return 0; +} + +int fnode_is_nonnegative_integer(FNODE f) +{ + Q n; + + n = eval(f); + if ( !n || (INT(n) && SGN(n) > 0) ) return 1; + else return 0; +} + +int fnode_is_one(FNODE f) +{ + Q n; + + n = eval(f); + if ( UNIQ(n) ) return 1; + else return 0; +} + +int fnode_is_minusone(FNODE f) +{ + Q n; + + n = eval(f); + if ( MUNIQ(n) ) return 1; + else return 0; +} + +int fnode_is_dependent(FNODE f,V v) +{ + Obj obj; + FNODE arg; + NODE t; + + switch ( f->id ) { + case I_MINUS: case I_PAREN: + return fnode_is_dependent(FA0(f),v); + + case I_FORMULA: + obj = FA0(f); + if ( !obj ) return 0; + else if ( OID(obj) == O_QUOTE ) + return fnode_is_dependent(BDY((QUOTE)obj),v); + else if ( obj_is_dependent(obj,v) ) return 1; + else return 0; + + case I_BOP: + return fnode_is_dependent(FA1(f),v) || fnode_is_dependent(FA2(f),v); + + case I_FUNC: + arg = (FNODE)FA1(f); + for ( t = FA0(arg); t; t = NEXT(t) ) + if ( fnode_is_dependent(BDY(t),v) ) return 1; + return 0; + + default: + return 0; + } +} + +FNODE fnode_normalize_add(FNODE a1,FNODE a2); +FNODE fnode_normalize_mul(FNODE a1,FNODE a2); +FNODE to_narymul(FNODE f); +FNODE to_naryadd(FNODE f); +FNODE fnode_normalize_mul_coef(Num c,FNODE f); +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) +{ + FNODE a1,a2,mone,r; + NODE n; + Q q; + + STOQ(-1,q); + mone = mkfnode(1,I_FORMULA,q); + switch ( f->id ) { + case I_PAREN: + return fnode_normalize(FA0(f)); + + case I_MINUS: + return fnode_normalize_mul_coef((Num)q,fnode_normalize(FA0(f))); + + case I_BOP: + /* arf fnode fnode */ + a1 = fnode_normalize(FA1(f)); + a2 = fnode_normalize(FA2(f)); + switch ( OPNAME(f) ) { + case '+': + return fnode_normalize_add(a1,a2); + case '-': + a2 = fnode_normalize_mul_coef((Num)q,a2); + return fnode_normalize_add(a1,a2); + case '*': + return fnode_normalize_mul(a1,a2); + case '/': + a2 = mkfnode(3,I_BOP,pwrfs,a2,mone); + return fnode_normalize_mul(FA1(f),a2); + default: + return mkfnode(3,I_BOP,FA0(f),a1,a2); + } + break; + + case I_NARYOP: + switch ( OPNAME(f) ) { + case '+': + n = BDY((NODE)FA1(f)); + r = fnode_normalize(BDY(n)); n = NEXT(n); + for ( ; n; n = NEXT(n) ) { + a1 = fnode_normalize(BDY(n)); + r = fnode_normalize_add(r,a1); + } + return r; + case '*': + n = BDY((NODE)FA1(f)); + r = fnode_normalize(BDY(n)); n = NEXT(n); + for ( ; n; n = NEXT(n) ) { + a1 = fnode_normalize(BDY(n)); + r = fnode_normalize_mul(r,a1); + } + return r; + default: + error("fnode_normallize : cannot happen"); + } + + default: + return fnode_apply(f,fnode_normalize); + } +} + +FNODE fnode_apply(FNODE f,FNODE (*func)()) +{ + 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]); + 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)); + } + if ( t0 ) NEXT(t) = 0; + r->arg[i] = t0; + break; + default: + r->arg[i] = f->arg[i]; + break; + } + } + return r; +} + +FNODE fnode_normalize_add(FNODE f1,FNODE f2) +{ + NODE n1,n2,r0,r; + FNODE b1,b2; + int s; + Num c1,c2,c; + + if ( fnode_is_zero(f1) ) return f2; + else if ( fnode_is_zero(f2) ) return f1; + if ( f1->id != I_NARYOP || OPNAME(f1) != '+' ) f1 = to_naryadd(f1); + if ( f2->id != I_NARYOP || OPNAME(f2) != '+' ) 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); + s = compfnode(b1,b2); + if ( s > 0 ) { + NEXTNODE(r0,r); BDY(r) = b1; n1 = NEXT(n1); + } else if ( s < 0 ) { + NEXTNODE(r0,r); BDY(r) = b2; n2 = NEXT(n2); + } else { + addnum(0,c1,c2,&c); + if ( c ) { + NEXTNODE(r0,r); BDY(r) = fnode_normalize_mul_coef(c,b1); + } + 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; + + if ( !r0 ) + return mkfnode(1,I_FORMULA,0); + else if ( !NEXT(r0) ) + return BDY(r0); + else + return mkfnode(2,I_NARYOP,addfs,r0); +} + +FNODE fnode_normalize_mul(FNODE f1,FNODE f2) +{ + NODE n1,n2,r0,r,r1; + FNODE b1,b2,e1,e2,cc; + FNODE *m; + int s; + Num c1,c2,c,e; + int l1,l2,l,i,j; + + if ( fnode_is_zero(f1) || fnode_is_zero(f2) ) return 0; + + if ( f1->id != I_NARYOP || OPNAME(f1) != '*' ) f1 = to_narymul(f1); + if ( f2->id != I_NARYOP || OPNAME(f2) != '*' ) f2 = to_narymul(f2); + n1 = (NODE)FA1(f1); + n2 = (NODE)FA1(f2); + if ( fnode_is_number(BDY(n1)) ) + if ( fnode_is_number(BDY(n2)) ) { + mulnum(0,eval(BDY(n1)),eval(BDY(n2)),&c); + n1 = NEXT(n1); n2 = NEXT(n2); + } else { + c = eval(BDY(n1)); n1 = NEXT(n1); + } + else if ( fnode_is_number(BDY(n2)) ) { + c = eval(BDY(n2)); n2 = NEXT(n2); + } else + c = (Num)ONE; + if ( !c ) return mkfnode(1,I_FORMULA,0); + + l1 = length(n1); + l2 = length(n2); + l = l1+l2; + 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) ) { + for ( j = i-1; j >= 0; j-- ) { + MKNODE(r1,m[j],r); r = r1; + } + cc = mkfnode(1,I_FORMULA,c); + MKNODE(r1,cc,r); r = r1; + return mkfnode(2,I_NARYOP,mulfs,r); + } else { + 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)); + } + } + } + if ( !i ) return mkfnode(1,I_FORMULA,c); + else { + r = 0; + for ( j = i-1; j >= 0; j-- ) { + MKNODE(r1,m[j],r); r = r1; + } + cc = mkfnode(1,I_FORMULA,c); + MKNODE(r1,cc,r); + r = r1; + return mkfnode(2,I_NARYOP,mulfs,r); + } +} + +/* f = b^e */ +void fnode_base_exp(FNODE f,FNODE *bp,FNODE *ep) +{ + if ( f->id == I_BOP && OPNAME(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; + + 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; + + NEWFNODE(r,2); + r->id = I_NARYOP; + FA0(r) = mulfs; + MKNODE(n,f,0); + FA1(r) = n; + return r; +} + +FNODE fnode_normalize_mul_coef(Num c,FNODE f) +{ + FNODE cc; + Num c1,c2; + NODE n,r0,r; + + if ( !c ) + return mkfnode(I_FORMULA,0); + else if ( fnode_is_number(f) ) { + mulnum(0,c,eval(f),&c1); return mkfnode(1,I_FORMULA,c1); + } else if ( f->id == I_NARYOP && OPNAME(f) == '*' ) { + cc = (FNODE)BDY((NODE)FA1(f)); + if ( fnode_is_number(cc) ) { + mulnum(0,c,eval(cc),&c2); cc = mkfnode(1,I_FORMULA,c2); + MKNODE(n,cc,NEXT((NODE)FA1(f))); + } else { + cc = mkfnode(1,I_FORMULA,c); + MKNODE(n,cc,(NODE)FA1(f)); + } + return mkfnode(2,I_NARYOP,FA0(f),n); + } else if ( f->id == I_NARYOP && OPNAME(f) == '+' ) { + for ( r0 = 0, n = (NODE)FA1(f); n; n = NEXT(n) ) { + NEXTNODE(r0,r); + BDY(r) = fnode_normalize_mul_coef(c,BDY(n)); + } + if ( r0 ) NEXT(r) = 0; + return mkfnode(2,I_NARYOP,FA0(f),r0); + } else { + cc = mkfnode(1,I_FORMULA,c); + n = mknode(2,cc,f); + return mkfnode(2,I_NARYOP,mulfs,n); + } +} + +void fnode_coef_body(FNODE f,Num *cp,FNODE *bp) +{ + FNODE c; + NODE n; + + if ( fnode_is_number(f) ) { + *cp = eval(f); *bp = mkfnode(1,I_FORMULA,ONE); + } else if ( f->id == I_NARYOP && OPNAME(f) == '*' ) { + c = (FNODE)BDY((NODE)FA1(f)); + if ( fnode_is_number(c) ) { + *cp = eval(c); + n = NEXT((NODE)FA1(f)); + if ( !n ) + *bp = mkfnode(1,I_FORMULA,ONE); + else if ( !NEXT(n) ) + *bp = BDY(n); + else + *bp = mkfnode(2,I_NARYOP,FA0(f),n); + } else { + *cp = (Num)ONE; *bp = f; + } + } else { + *cp = (Num)ONE; *bp = f; } }