version 1.21, 2004/03/04 13:12:27 |
version 1.72, 2005/10/14 06:00:03 |
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* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* |
* |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.20 2004/03/04 12:28:14 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.71 2005/10/12 14:43:36 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "parse.h" |
#include "parse.h" |
Line 63 struct TeXSymbol { |
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Line 63 struct TeXSymbol { |
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char *symbol; |
char *symbol; |
}; |
}; |
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#define OPNAME(f) (((ARF)FA0(f))->name[0]) |
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extern char *parse_strp; |
extern char *parse_strp; |
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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 74 void Pclear_tb(); |
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Line 77 void Pclear_tb(); |
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void Pstring_to_tb(); |
void Pstring_to_tb(); |
void Pquotetotex_tb(); |
void Pquotetotex_tb(); |
void Pquotetotex(); |
void Pquotetotex(); |
void Pquotetotex_setenv(); |
void Pquotetotex_env(); |
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void Pflatten_quote(); |
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void Pquote_is_integer(),Pquote_is_rational(),Pquote_is_number(); |
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void Pquote_is_dependent(),Pquote_is_function(); |
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void Pquote_normalize(); |
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void Pquote_to_funargs(),Pfunargs_to_quote(),Pget_function_name(); |
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void Pquote_unify(),Pget_quote_id(),Pquote_match_rewrite(); |
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void Pquote_to_nary(),Pquote_to_bin(); |
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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); |
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char *conv_rule(char *name); |
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char *conv_subs(char *name); |
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char *call_convfunc(char *name); |
void tb_to_string(TB tb,STRING *rp); |
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); |
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int top_is_minus(FNODE f); |
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int quote_unify(Obj f,Obj pat,NODE *rp); |
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struct ftab str_tab[] = { |
struct ftab str_tab[] = { |
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{"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 94 struct ftab str_tab[] = { |
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Line 113 struct ftab str_tab[] = { |
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{"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}, |
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{"get_quote_id",Pget_quote_id,1}, |
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{"quote_is_number",Pquote_is_number,1}, |
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{"quote_is_rational",Pquote_is_rational,1}, |
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{"quote_is_integer",Pquote_is_integer,1}, |
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{"quote_is_function",Pquote_is_function,1}, |
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{"quote_is_dependent",Pquote_is_dependent,2}, |
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{"quote_normalize",Pquote_normalize,1}, |
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{"quote_to_nary",Pquote_to_nary,1}, |
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{"quote_to_bin",Pquote_to_bin,2}, |
{"quotetotex_tb",Pquotetotex_tb,2}, |
{"quotetotex_tb",Pquotetotex_tb,2}, |
{"quotetotex",Pquotetotex,1}, |
{"quotetotex",Pquotetotex,1}, |
{"quotetotex_setenv",Pquotetotex_setenv,-99999999}, |
{"quotetotex_env",Pquotetotex_env,-99999999}, |
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{"flatten_quote",Pflatten_quote,-2}, |
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{"quote_to_funargs",Pquote_to_funargs,1}, |
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{"quote_unify",Pquote_unify,2}, |
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{"quote_match_rewrite",Pquote_match_rewrite,-4}, |
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{"funargs_to_quote",Pfunargs_to_quote,1}, |
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{"get_function_name",Pget_function_name,1}, |
{0,0,0}, |
{0,0,0}, |
}; |
}; |
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Line 112 void write_tb(char *s,TB tb) |
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Line 149 void write_tb(char *s,TB tb) |
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int register_symbol_table(Obj arg); |
int register_symbol_table(Obj arg); |
int register_conv_rule(Obj arg); |
int register_conv_rule(Obj arg); |
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int register_conv_func(Obj arg); |
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int register_dp_vars(Obj arg); |
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int register_dp_vars_origin(Obj arg); |
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int register_dp_dvars_origin(Obj arg); |
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int register_dp_dvars_prefix(Obj arg); |
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int register_dp_vars_prefix(Obj arg); |
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int register_dp_vars_hweyl(Obj arg); |
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int register_show_lt(Obj arg); |
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char *objtostr(Obj obj); |
static struct TeXSymbol *user_texsymbol; |
static struct TeXSymbol *user_texsymbol; |
static char *(*conv_rule)(char *); |
static char **dp_vars; |
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static int dp_vars_len; |
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static char *dp_vars_prefix; |
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static char *dp_dvars_prefix; |
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static int dp_vars_origin; |
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static int dp_dvars_origin; |
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static int show_lt; |
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static FUNC convfunc; |
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static int is_lt; |
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static int conv_flag; |
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static int dp_vars_hweyl; |
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#define CONV_TABLE (1U<<0) |
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#define CONV_SUBS (1U<<1) |
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#define CONV_DMODE (1U<<2) |
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static struct { |
static struct { |
char *name; |
char *name; |
Obj value; |
Obj value; |
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} qtot_env[] = { |
} qtot_env[] = { |
{"symbol_table",0,register_symbol_table}, |
{"symbol_table",0,register_symbol_table}, |
{"conv_rule",0,register_conv_rule}, |
{"conv_rule",0,register_conv_rule}, |
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{"conv_func",0,register_conv_func}, |
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{"dp_vars",0,register_dp_vars}, |
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{"dp_vars_prefix",0,register_dp_vars_prefix}, |
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{"dp_dvars_prefix",0,register_dp_dvars_prefix}, |
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{"dp_vars_origin",0,register_dp_vars_origin}, |
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{"dp_dvars_origin",0,register_dp_dvars_origin}, |
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{"dp_vars_hweyl",0,register_dp_vars_hweyl}, |
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{"show_lt",0,register_show_lt}, |
{0,0,0}, |
{0,0,0}, |
}; |
}; |
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#define PARTIAL "\\partial" |
#define PARTIAL "\\partial" |
char *conv_rule_d(char *name) |
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char *conv_rule(char *name) |
{ |
{ |
int l,i,j,alpha,start; |
char *body,*r; |
char *b,*r; |
int len; |
l = strlen(name); |
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if ( name[0] == 'd' ) { |
if ( convfunc ) |
/* 3 : _{} */ |
name = call_convfunc(name); |
b = (char *)ALLOCA((2*l+1+strlen(PARTIAL)+3)*sizeof(char)); |
if ( conv_flag & CONV_TABLE ) { |
sprintf(b,"%s_{",PARTIAL); |
r = symbol_name(name); |
i = 1; |
if ( r ) return r; |
j = strlen(b); |
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} else { |
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b = (char *)ALLOCA((2*l+1)*sizeof(char)); |
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i = j = 0; |
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} |
} |
for ( ; i < l && name[i] == '_'; i++); |
if ( (conv_flag & CONV_DMODE) && *name == 'd' ) { |
for ( ; i < l; ) { |
body = conv_rule(name+1); |
if ( !isalpha(name[i]) ) |
r = MALLOC_ATOMIC((strlen(PARTIAL)+strlen(body)+5)*sizeof(char)); |
break; |
if ( !body || !(len=strlen(body)) ) |
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strcpy(r,PARTIAL); |
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else if ( len == 1 ) |
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sprintf(r,"%s_%s",PARTIAL,body); |
else |
else |
b[j++] = name[i++]; |
sprintf(r,"%s_{%s}",PARTIAL,body); |
} |
return r; |
if ( i == l ) |
} else |
if ( name[0] == 'd' ) |
return conv_subs(name); |
goto END; |
} |
else |
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return name; |
int _is_delimiter(char c) |
/* we found a digit or '_' */ |
{ |
b[j++] = '_'; b[j++] = '{'; |
if ( (c == ' ' || c == '_' || c == ',') ) return 1; |
if ( name[i] == '_' ) i++; |
else return 0; |
for ( start = 1; i < l; ) { |
} |
if ( name[i] == '_' ) { |
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i++; |
int _is_alpha(char c) |
start = 1; |
{ |
b[j++] = ','; |
if ( isdigit(c) || c == '{' || _is_delimiter(c) ) return 0; |
} else if ( start ) { |
else return 1; |
alpha = isalpha(name[i])?1:0; |
} |
b[j++] = name[i++]; |
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start = 0; |
char *conv_subs(char *name) |
} else if ( alpha ) { |
{ |
if ( isalpha(name[i]) ) |
int i,j,k,len,clen,slen,start,level; |
b[j++] = name[i++]; |
char *buf,*head,*r,*h,*brace,*buf_conv; |
else { |
char **subs; |
alpha = 0; |
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start = 1; |
if ( !name || !(len=strlen(name)) ) return ""; |
b[j++] = ','; |
if ( !(conv_flag&CONV_SUBS) ) return name; |
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subs = (char **)ALLOCA(len*sizeof(char* )); |
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for ( i = 0, j = 0, start = i; ; j++ ) { |
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while ( (i < len) && _is_delimiter(name[i]) ) i++; |
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start = i; |
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if ( i == len ) break; |
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if ( name[i] == '{' ) { |
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for ( level = 1, i++; i < len && level; i++ ) { |
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if ( name[i] == '{' ) level++; |
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else if ( name[i] == '}' ) level--; |
} |
} |
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slen = i-start; |
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if ( slen >= 3 ) { |
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brace = (char *)ALLOCA((slen+1)*sizeof(char)); |
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strncpy(brace,name+start+1,slen-2); |
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brace[slen-2] = 0; |
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buf = conv_subs(brace); |
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subs[j] = (char *)ALLOCA((strlen(buf)+3)*sizeof(char)); |
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if ( strlen(buf) == 1 ) |
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strcpy(subs[j],buf); |
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else |
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sprintf(subs[j],"{%s}",buf); |
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} else |
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subs[j] = "{}"; |
} else { |
} else { |
if ( isdigit(name[i]) ) |
if ( isdigit(name[i]) ) |
b[j++] = name[i++]; |
while ( i < len && isdigit(name[i]) ) i++; |
else { |
else |
alpha = 1; |
while ( i < len && _is_alpha(name[i]) ) i++; |
start = 1; |
slen = i-start; |
b[j++] = ','; |
buf = (char *)ALLOCA((slen+1)*sizeof(char)); |
} |
strncpy(buf,name+start,slen); buf[slen] = 0; |
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buf_conv = symbol_name(buf); |
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subs[j] = buf_conv?buf_conv:buf; |
} |
} |
} |
} |
b[j++] = '}'; |
for ( k = 0, clen = 0; k < j; k++ ) clen += strlen(subs[k]); |
END: |
/* {subs(0)}_{{subs(1)},...,{subs(j-1)}} => {}:j+1 _:1 ,:j-2 */ |
if ( name[0] == 'd' ) b[j++] = '}'; |
h = r = MALLOC_ATOMIC((clen+(j+1)*2+1+(j-2)+1)*sizeof(char)); |
b[j++] = 0; |
if ( j == 1 ) |
r = (char *)MALLOC_ATOMIC((j+1)*sizeof(char)); |
sprintf(h,"{%s}",subs[0]); |
strcpy(r,b); |
else { |
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sprintf(h,"{%s}_{%s",subs[0],subs[1]); |
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h += strlen(h); |
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for ( k = 2; k < j; k++ ) { |
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sprintf(h,",%s",subs[k]); |
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h += strlen(h); |
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} |
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strcpy(h,"}"); |
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} |
return r; |
return r; |
} |
} |
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char *call_convfunc(char *name) |
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{ |
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STRING str,r; |
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NODE arg; |
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MKSTR(str,name); |
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arg = mknode(1,str); |
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r = (STRING)bevalf(convfunc,arg); |
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if ( !r || OID(r) != O_STR ) |
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error("call_convfunc : invalid result"); |
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return BDY(r); |
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} |
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int register_symbol_table(Obj arg) |
int register_symbol_table(Obj arg) |
{ |
{ |
NODE n,t; |
NODE n,t; |
Line 218 int register_symbol_table(Obj arg) |
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Line 330 int register_symbol_table(Obj arg) |
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if ( !t || !NEXT(t) ) return 0; |
if ( !t || !NEXT(t) ) return 0; |
a0 = (STRING)BDY(t); |
a0 = (STRING)BDY(t); |
a1 = (STRING)BDY(NEXT(t)); |
a1 = (STRING)BDY(NEXT(t)); |
if ( !a0 || OID(a0) != O_STR ) return 0; |
if ( !a0 ) return 0; |
if ( !a1 || OID(a1) != O_STR ) return 0; |
if ( OID(a0) == O_STR ) |
uts[i].text = BDY(a0); |
uts[i].text = BDY(a0); |
uts[i].symbol = BDY(a1); |
else if ( OID(a0) == O_P ) |
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uts[i].text = NAME(VR((P)a0)); |
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else |
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return 0; |
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if ( !a1 ) return 0; |
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if ( OID(a1) == O_STR ) |
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uts[i].symbol = BDY(a1); |
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else if ( OID(a1) == O_P ) |
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uts[i].symbol = NAME(VR((P)a1)); |
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else |
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return 0; |
} |
} |
uts[i].text = 0; |
uts[i].text = 0; |
uts[i].symbol = 0; |
uts[i].symbol = 0; |
Line 229 int register_symbol_table(Obj arg) |
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Line 351 int register_symbol_table(Obj arg) |
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return 1; |
return 1; |
} |
} |
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int register_dp_vars_origin(Obj arg) |
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{ |
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if ( INT(arg) ) { |
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dp_vars_origin = QTOS((Q)arg); |
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return 1; |
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} else return 0; |
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} |
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int register_dp_dvars_origin(Obj arg) |
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{ |
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if ( INT(arg) ) { |
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dp_dvars_origin = QTOS((Q)arg); |
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return 1; |
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} else return 0; |
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} |
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int register_dp_vars_hweyl(Obj arg) |
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{ |
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if ( INT(arg) ) { |
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dp_vars_hweyl = QTOS((Q)arg); |
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return 1; |
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} else return 0; |
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} |
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int register_show_lt(Obj arg) |
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{ |
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if ( INT(arg) ) { |
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show_lt = QTOS((Q)arg); |
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return 1; |
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} else return 0; |
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} |
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int register_conv_rule(Obj arg) |
int register_conv_rule(Obj arg) |
{ |
{ |
if ( INT(arg) ) { |
if ( INT(arg) ) { |
switch ( QTOS((Q)arg) ) { |
conv_flag = QTOS((Q)arg); |
case 0: |
convfunc = 0; |
conv_rule = 0; |
return 1; |
return 1; |
} else return 0; |
break; |
} |
case 1: |
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conv_rule = conv_rule_d; |
int register_conv_func(Obj arg) |
return 1; |
{ |
break; |
if ( !arg ) { |
default: |
convfunc = 0; |
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return 1; |
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} else if ( OID(arg) == O_P && (int)(VR((P)arg))->attr == V_SR ) { |
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convfunc = (FUNC)(VR((P)arg)->priv); |
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/* f must be a function which takes single argument */ |
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return 1; |
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} else return 0; |
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} |
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int register_dp_vars(Obj arg) |
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{ |
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int l,i; |
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char **r; |
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NODE n; |
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STRING a; |
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if ( !arg ) { |
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dp_vars = 0; |
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dp_vars_len = 0; |
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return 1; |
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} else if ( OID(arg) != O_LIST ) |
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return 0; |
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else { |
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n = BDY((LIST)arg); |
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l = length(n); |
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r = (char **)MALLOC_ATOMIC(l*sizeof(char *)); |
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for ( i = 0; i < l; i++, n = NEXT(n) ) { |
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a = (STRING)BDY(n); |
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if ( !a ) return 0; |
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if ( OID(a) == O_STR ) |
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r[i] = BDY(a); |
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else if ( OID(a) == O_P ) |
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r[i] = NAME(VR((P)a)); |
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else |
return 0; |
return 0; |
break; |
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} |
} |
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dp_vars = r; |
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dp_vars_len = l; |
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return 1; |
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} |
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} |
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int register_dp_vars_prefix(Obj arg) |
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{ |
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if ( !arg ) { |
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dp_vars_prefix = 0; |
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return 1; |
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} else if ( OID(arg) == O_STR ) { |
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dp_vars_prefix = BDY((STRING)arg); |
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return 1; |
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} else if ( OID(arg) == O_P ) { |
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dp_vars_prefix = NAME(VR((P)arg)); |
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return 1; |
} else return 0; |
} else return 0; |
} |
} |
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void Pquotetotex_setenv(NODE arg,Obj *rp) |
int register_dp_dvars_prefix(Obj arg) |
{ |
{ |
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if ( !arg ) { |
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dp_dvars_prefix = 0; |
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return 1; |
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} else if ( OID(arg) == O_STR ) { |
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dp_dvars_prefix = BDY((STRING)arg); |
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return 1; |
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} else if ( OID(arg) == O_P ) { |
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dp_dvars_prefix = NAME(VR((P)arg)); |
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return 1; |
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} else return 0; |
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} |
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void Pquotetotex_env(NODE arg,Obj *rp) |
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{ |
int ac,i; |
int ac,i; |
char *name; |
char *name; |
NODE n,n0; |
NODE n,n0; |
Line 266 void Pquotetotex_setenv(NODE arg,Obj *rp) |
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Line 483 void Pquotetotex_setenv(NODE arg,Obj *rp) |
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NEXT(n) = 0; |
NEXT(n) = 0; |
MKLIST(l,n0); |
MKLIST(l,n0); |
*rp = (Obj)l; |
*rp = (Obj)l; |
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} else if ( ac == 1 && !ARG0(arg) ) { |
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/* set to default */ |
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for ( i = 0; qtot_env[i].name; i++ ) { |
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(qtot_env[i].reg)(0); |
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qtot_env[i].value = 0; |
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} |
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*rp = 0; |
} else if ( ac == 1 || ac == 2 ) { |
} else if ( ac == 1 || ac == 2 ) { |
asir_assert(ARG0(arg),O_STR,"quotetotex_setenv"); |
asir_assert(ARG0(arg),O_STR,"quotetotex_env"); |
name = BDY((STRING)ARG0(arg)); |
name = BDY((STRING)ARG0(arg)); |
for ( i = 0; qtot_env[i].name; i++ ) |
for ( i = 0; qtot_env[i].name; i++ ) |
if ( !strcmp(qtot_env[i].name,name) ) { |
if ( !strcmp(qtot_env[i].name,name) ) { |
Line 275 void Pquotetotex_setenv(NODE arg,Obj *rp) |
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Line 499 void Pquotetotex_setenv(NODE arg,Obj *rp) |
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if ( (qtot_env[i].reg)((Obj)ARG1(arg)) ) |
if ( (qtot_env[i].reg)((Obj)ARG1(arg)) ) |
qtot_env[i].value = (Obj)ARG1(arg); |
qtot_env[i].value = (Obj)ARG1(arg); |
else |
else |
error("quotetotex_setenv : invalid argument"); |
error("quotetotex_env : invalid argument"); |
} |
} |
*rp = qtot_env[i].value; |
*rp = qtot_env[i].value; |
return; |
return; |
Line 305 void Pwrite_to_tb(NODE arg,Q *rp) |
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Line 529 void Pwrite_to_tb(NODE arg,Q *rp) |
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*rp = 0; |
*rp = 0; |
} |
} |
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FNODE partial_eval(FNODE), fnode_to_nary(FNODE), fnode_to_bin(FNODE,int); |
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FNODE fnode_normalize(FNODE); |
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void Pquote_to_nary(NODE arg,QUOTE *rp) |
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{ |
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FNODE f; |
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f = fnode_to_nary(BDY((QUOTE)ARG0(arg))); |
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MKQUOTE(*rp,f); |
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} |
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void Pquote_to_bin(NODE arg,QUOTE *rp) |
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{ |
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FNODE f; |
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int direction; |
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direction = QTOS((Q)ARG1(arg)); |
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f = fnode_to_bin(BDY((QUOTE)ARG0(arg)),direction); |
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MKQUOTE(*rp,f); |
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} |
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void Pquote_is_number(NODE arg,Q *rp) |
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{ |
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QUOTE q; |
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int ret; |
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q = (QUOTE)ARG0(arg); |
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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) |
void Pquotetotex(NODE arg,STRING *rp) |
{ |
{ |
TB tb; |
TB tb; |
|
|
NEWTB(tb); |
NEWTB(tb); |
|
/* XXX for DP */ |
|
is_lt = 1; |
fnodetotex_tb(BDY((QUOTE)ARG0(arg)),tb); |
fnodetotex_tb(BDY((QUOTE)ARG0(arg)),tb); |
tb_to_string(tb,rp); |
tb_to_string(tb,rp); |
} |
} |
Line 320 void Pquotetotex_tb(NODE arg,Q *rp) |
|
Line 919 void Pquotetotex_tb(NODE arg,Q *rp) |
|
TB tb; |
TB tb; |
|
|
asir_assert(ARG1(arg),O_TB,"quotetotex_tb"); |
asir_assert(ARG1(arg),O_TB,"quotetotex_tb"); |
|
/* XXX for DP */ |
|
is_lt = 1; |
fnodetotex_tb(BDY((QUOTE)ARG0(arg)),ARG1(arg)); |
fnodetotex_tb(BDY((QUOTE)ARG0(arg)),ARG1(arg)); |
*rp = 0; |
*rp = 0; |
} |
} |
Line 620 static struct TeXSymbol texsymbol[] = { |
|
Line 1221 static struct TeXSymbol texsymbol[] = { |
|
{"c_i","\\sqrt{-1}"}, |
{"c_i","\\sqrt{-1}"}, |
|
|
/* Temporary */ |
/* Temporary */ |
{"dx","\\partial"}, |
|
{0,0} |
{0,0} |
}; |
}; |
|
|
Line 628 char *symbol_name(char *name) |
|
Line 1228 char *symbol_name(char *name) |
|
{ |
{ |
int i; |
int i; |
|
|
|
if ( !name || strlen(name) == 0 ) |
|
return ""; |
|
if ( !(conv_flag & CONV_TABLE) ) |
|
return name; |
|
|
if ( user_texsymbol ) |
if ( user_texsymbol ) |
for ( i = 0; user_texsymbol[i].text; i++ ) |
for ( i = 0; user_texsymbol[i].text; i++ ) |
if ( !strcmp(user_texsymbol[i].text,name) ) |
if ( !strcmp(user_texsymbol[i].text,name) ) |
Line 635 char *symbol_name(char *name) |
|
Line 1240 char *symbol_name(char *name) |
|
for ( i = 0; texsymbol[i].text; i++ ) |
for ( i = 0; texsymbol[i].text; i++ ) |
if ( !strcmp(texsymbol[i].text,name) ) |
if ( !strcmp(texsymbol[i].text,name) ) |
return texsymbol[i].symbol; |
return texsymbol[i].symbol; |
if ( conv_rule ) |
return 0; |
return (*conv_rule)(name); |
|
else |
|
return name; |
|
} |
} |
|
|
|
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; |
char vname[BUFSIZ]; |
char vname[BUFSIZ],prefix[BUFSIZ]; |
char *opname; |
char *opname,*vname_conv,*prefix_conv; |
Obj obj; |
Obj obj; |
int i,len,allzero; |
int i,len,allzero,elen,elen2,si; |
|
C cplx; |
|
char *r; |
FNODE fi,f2; |
FNODE fi,f2; |
|
|
write_tb(" ",tb); |
write_tb(" ",tb); |
Line 657 void fnodetotex_tb(FNODE f,TB tb) |
|
Line 1279 void fnodetotex_tb(FNODE f,TB tb) |
|
} |
} |
switch ( f->id ) { |
switch ( f->id ) { |
/* unary operators */ |
/* unary operators */ |
case I_NOT: case I_PAREN: case I_MINUS: |
case I_NOT: |
switch ( f->id ) { |
write_tb("\\neg (",tb); |
case I_NOT: |
fnodetotex_tb((FNODE)FA0(f),tb); |
write_tb("\\neg (",tb); |
write_tb(")",tb); |
fnodetotex_tb((FNODE)FA0(f),tb); |
|
write_tb(")",tb); |
|
break; |
|
case I_PAREN: |
|
write_tb("(",tb); |
|
fnodetotex_tb((FNODE)FA0(f),tb); |
|
write_tb(")",tb); |
|
break; |
|
case I_MINUS: |
|
write_tb("-",tb); |
|
fnodetotex_tb((FNODE)FA0(f),tb); |
|
break; |
|
} |
|
break; |
break; |
|
case I_PAREN: |
|
write_tb("(",tb); |
|
fnodetotex_tb((FNODE)FA0(f),tb); |
|
write_tb(")",tb); |
|
break; |
|
case I_MINUS: |
|
write_tb("-",tb); |
|
fnodetotex_tb((FNODE)FA0(f),tb); |
|
break; |
|
|
/* binary operators */ |
/* binary operators */ |
case I_BOP: case I_COP: case I_LOP: case I_AND: case I_OR: |
/* arg list */ |
/* arg list */ |
/* I_AND, I_OR => FA0(f), FA1(f) */ |
/* I_AND, I_OR => FA0(f), FA1(f) */ |
/* otherwise => FA1(f), FA2(f) */ |
/* otherwise => FA1(f), FA2(f) */ |
case I_BOP: |
|
opname = ((ARF)FA0(f))->name; |
/* op */ |
switch ( opname[0] ) { |
switch ( f->id ) { |
case '+': |
case I_BOP: |
fnodetotex_tb((FNODE)FA1(f),tb); |
opname = ((ARF)FA0(f))->name; |
if ( !top_is_minus((FNODE)FA2(f)) ) write_tb(opname,tb); |
if ( !strcmp(opname,"+") ) { |
fnodetotex_tb((FNODE)FA2(f),tb); |
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); |
if ( FA1(f) ) fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
write_tb(opname,tb); |
break; |
fnodetotex_tb((FNODE)FA2(f),tb); |
case '*': |
} else if ( !strcmp(opname,"*") ) { |
fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
write_tb(" ",tb); |
write_tb(" ",tb); |
/* XXX special care for DP */ |
/* XXX special care for DP */ |
f2 = (FNODE)FA2(f); |
f2 = (FNODE)FA2(f); |
if ( f2->id == I_EV ) { |
if ( f2->id == I_EV ) { |
n = (NODE)FA0(f2); |
n = (NODE)FA0(f2); |
for ( i = 0; n; n = NEXT(n), i++ ) { |
for ( i = 0; n; n = NEXT(n), i++ ) { |
fi = (FNODE)BDY(n); |
fi = (FNODE)BDY(n); |
if ( fi->id != I_FORMULA || FA0(fi) ) |
if ( fi->id != I_FORMULA || FA0(fi) ) |
break; |
break; |
} |
} |
if ( n ) |
if ( n ) |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
} else |
|
fnodetotex_tb((FNODE)FA2(f),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 |
} else |
error("invalid binary operator"); |
fnodetotex_tb((FNODE)FA2(f),tb); |
|
|
case I_COP: |
|
switch( (cid)FA0(f) ) { |
|
case C_EQ: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" = ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case C_NE: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\neq ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case C_GT: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\gt ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case C_LT: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\lt ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case C_GE: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\geq ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case C_LE: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\leq ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
} |
|
break; |
break; |
|
case '/': |
case I_LOP: |
write_tb("\\frac{",tb); |
switch( (lid)FA0(f) ) { |
fnodetotex_tb((FNODE)FA1(f),tb); |
case L_EQ: |
write_tb("} {",tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
write_tb(" = ",tb); |
write_tb("}",tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_NE: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\neq ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_GT: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\gt ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_LT: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\lt ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_GE: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\geq ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_LE: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\leq ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_AND: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" {\\rm \\ and\\ } ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_OR: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" {\\rm \\ or\\ } ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_NOT: |
|
/* XXX : L_NOT is a unary operator */ |
|
write_tb("\\neg (",tb); |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(")",tb); |
|
return; |
|
} |
|
break; |
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_AND: |
case I_COP: |
fnodetotex_tb((FNODE)FA0(f),tb); |
switch( (cid)FA0(f) ) { |
write_tb(" {\\rm \\ and\\ } ",tb); |
case C_EQ: |
fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" = ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
break; |
break; |
|
case C_NE: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\neq ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case C_GT: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" > ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case C_LT: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" < ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case C_GE: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\geq ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case C_LE: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\leq ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
} |
|
break; |
|
|
case I_OR: |
case I_LOP: |
fnodetotex_tb((FNODE)FA0(f),tb); |
switch( (lid)FA0(f) ) { |
write_tb(" {\\rm \\ or\\ } ",tb); |
case L_EQ: |
fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" = ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
break; |
break; |
|
case L_NE: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\neq ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_GT: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" > ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_LT: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" < ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_GE: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\geq ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_LE: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" \\leq ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_AND: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" {\\rm \\ and\\ } ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_OR: |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" {\\rm \\ or\\ } ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
case L_NOT: |
|
/* XXX : L_NOT is a unary operator */ |
|
write_tb("\\neg (",tb); |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(")",tb); |
|
return; |
} |
} |
break; |
break; |
|
|
|
case I_AND: |
|
fnodetotex_tb((FNODE)FA0(f),tb); |
|
write_tb(" {\\rm \\ and\\ } ",tb); |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
break; |
|
|
|
case I_OR: |
|
fnodetotex_tb((FNODE)FA0(f),tb); |
|
write_tb(" {\\rm \\ or\\ } ",tb); |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
break; |
|
|
/* ternary operators */ |
/* ternary operators */ |
case I_CE: |
case I_CE: |
error("fnodetotex_tb : not implemented yet"); |
error("fnodetotex_tb : not implemented yet"); |
Line 842 void fnodetotex_tb(FNODE f,TB tb) |
|
Line 1464 void fnodetotex_tb(FNODE f,TB tb) |
|
break; |
break; |
|
|
/* function */ |
/* function */ |
case I_FUNC: case I_CAR: case I_CDR: case I_EV: |
case I_FUNC: |
switch ( f->id ) { |
if ( !strcmp(((FUNC)FA0(f))->name,"@pi") ) |
case I_FUNC: |
write_tb("\\pi",tb); |
opname = symbol_name(((FUNC)FA0(f))->name); |
else if ( !strcmp(((FUNC)FA0(f))->name,"@e") ) |
write_tb(opname,tb); |
write_tb("e",tb); |
write_tb("(",tb); |
else { |
fargstotex_tb(opname,FA1(f),tb); |
opname = conv_rule(((FUNC)FA0(f))->name); |
write_tb(")",tb); |
write_tb(opname,tb); |
break; |
write_tb("(",tb); |
case I_CAR: |
fargstotex_tb(opname,FA1(f),tb); |
opname = symbol_name("car"); |
write_tb(")",tb); |
write_tb(opname,tb); |
} |
write_tb("(",tb); |
break; |
fargstotex_tb(opname,FA0(f),tb); |
|
write_tb(")",tb); |
/* XXX */ |
break; |
case I_CAR: |
case I_CDR: |
opname = conv_rule("car"); |
opname = symbol_name("cdr"); |
write_tb(opname,tb); |
write_tb(opname,tb); |
write_tb("(",tb); |
write_tb("(",tb); |
fargstotex_tb(opname,FA0(f),tb); |
fargstotex_tb(opname,FA0(f),tb); |
write_tb(")",tb); |
write_tb(")",tb); |
break; |
break; |
|
case I_EV: |
case I_CDR: |
n = (NODE)FA0(f); |
opname = conv_rule("cdr"); |
allzero = 1; |
write_tb(opname,tb); |
for ( t0 = 0, i = 0; n; n = NEXT(n), i++ ) { |
write_tb("(",tb); |
fi = (FNODE)BDY(n); |
fargstotex_tb(opname,FA0(f),tb); |
if ( fi->id == I_FORMULA && !FA0(fi) ) continue; |
write_tb(")",tb); |
allzero = 0; |
break; |
if ( fi->id == I_FORMULA && UNIQ(FA0(fi)) ) { |
|
sprintf(vname,"x_{%d}",i); |
/* exponent vector */ |
len = strlen(vname); |
case I_EV: |
opname = MALLOC_ATOMIC(len+1); |
n = (NODE)FA0(f); |
strcpy(opname,vname); |
if ( dp_vars_hweyl ) { |
write_tb(opname,tb); |
elen = length(n); |
|
elen2 = elen>>1; |
|
elen = elen2<<1; |
|
} |
|
allzero = 1; |
|
if ( show_lt && is_lt ) |
|
write_tb("\\underline{",tb); |
|
for ( t0 = 0, i = 0; n; n = NEXT(n), i++ ) { |
|
fi = (FNODE)BDY(n); |
|
if ( fi->id == I_FORMULA && !FA0(fi) ) continue; |
|
allzero = 0; |
|
if ( dp_vars && i < dp_vars_len ) { |
|
strcpy(vname,dp_vars[i]); |
|
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 { |
} else { |
sprintf(vname,"x_{%d}^{",i); |
strcpy(prefix,"h"); |
len = strlen(vname); |
vname_conv = conv_rule(prefix); |
opname = MALLOC_ATOMIC(len+1); |
|
strcpy(opname,vname); |
|
write_tb(opname,tb); |
|
fnodetotex_tb((FNODE)BDY(n),tb); |
|
write_tb("} ",tb); |
|
} |
} |
|
} 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); |
} |
} |
/* XXX */ |
} |
if ( allzero ) |
if ( fi->id == I_FORMULA && UNIQ(FA0(fi)) ) { |
write_tb(" 1 ",tb); |
len = strlen(vname_conv); |
break; |
opname = MALLOC_ATOMIC(len+2); |
|
sprintf(opname,"%s ",vname_conv); |
|
write_tb(opname,tb); |
|
} else { |
|
len = strlen(vname_conv); |
|
/* 2: ^{ */ |
|
opname = MALLOC_ATOMIC(len+1+2); |
|
sprintf(opname,"%s^{",vname_conv); |
|
write_tb(opname,tb); |
|
fnodetotex_tb((FNODE)BDY(n),tb); |
|
write_tb("} ",tb); |
|
} |
} |
} |
|
/* XXX */ |
|
if ( allzero ) |
|
write_tb(" 1 ",tb); |
|
if ( show_lt && is_lt ) { |
|
write_tb("}",tb); |
|
is_lt = 0; |
|
} |
break; |
break; |
|
|
|
/* string */ |
case I_STR: |
case I_STR: |
write_tb((char *)FA0(f),tb); |
write_tb((char *)FA0(f),tb); |
break; |
break; |
|
|
|
/* internal object */ |
case I_FORMULA: |
case I_FORMULA: |
obj = (Obj)FA0(f); |
obj = (Obj)FA0(f); |
if ( obj && OID(obj) == O_P ) { |
if ( !obj ) |
opname = symbol_name(VR((P)obj)->name); |
write_tb("0",tb); |
} else { |
else if ( OID(obj) == O_N && NID(obj) == N_C ) { |
len = estimate_length(CO,obj); |
cplx = (C)obj; |
opname = (char *)MALLOC_ATOMIC(len+1); |
write_tb("(",tb); |
soutput_init(opname); |
if ( cplx->r ) { |
sprintexpr(CO,obj); |
r = objtostr((Obj)cplx->r); write_tb(r,tb); |
} |
} |
write_tb(opname,tb); |
if ( cplx->i ) { |
|
if ( cplx->r && compnum(0,cplx->i,0) > 0 ) { |
|
write_tb("+",tb); |
|
if ( !UNIQ(cplx->i) ) { |
|
r = objtostr((Obj)cplx->i); write_tb(r,tb); |
|
} |
|
} else if ( MUNIQ(cplx->i) ) |
|
write_tb("-",tb); |
|
else if ( !UNIQ(cplx->i) ) { |
|
r = objtostr((Obj)cplx->i); write_tb(r,tb); |
|
} |
|
write_tb("\\sqrt{-1}",tb); |
|
} |
|
write_tb(")",tb); |
|
} else if ( OID(obj) == O_P ) |
|
write_tb(conv_rule(VR((P)obj)->name),tb); |
|
else |
|
write_tb(objtostr(obj),tb); |
break; |
break; |
|
|
|
/* program variable */ |
case I_PVAR: |
case I_PVAR: |
if ( FA1(f) ) |
if ( FA1(f) ) |
error("fnodetotex_tb : not implemented yet"); |
error("fnodetotex_tb : not implemented yet"); |
Line 924 void fnodetotex_tb(FNODE f,TB tb) |
|
Line 1616 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) |
void fnodenodetotex_tb(NODE n,TB tb) |
{ |
{ |
for ( ; n; n = NEXT(n) ) { |
for ( ; n; n = NEXT(n) ) { |
|
is_lt = 1; |
fnodetotex_tb((FNODE)BDY(n),tb); |
fnodetotex_tb((FNODE)BDY(n),tb); |
if ( NEXT(n) ) write_tb(", ",tb); |
if ( NEXT(n) ) write_tb(", ",tb); |
} |
} |
Line 946 void fargstotex_tb(char *name,FNODE f,TB tb) |
|
Line 1687 void fargstotex_tb(char *name,FNODE f,TB tb) |
|
fnodenodetotex_tb(n,tb); |
fnodenodetotex_tb(n,tb); |
} else |
} else |
fnodetotex_tb(f,tb); |
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; |
} |
} |
} |
} |