version 1.68, 2005/10/05 07:38:08 |
version 1.70, 2005/10/12 03:31:04 |
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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 1.67 2005/10/03 00:06:40 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.69 2005/10/05 08:57:25 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "parse.h" |
#include "parse.h" |
Line 77 void Pquotetotex_tb(); |
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Line 77 void Pquotetotex_tb(); |
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void Pquotetotex(); |
void Pquotetotex(); |
void Pquotetotex_env(); |
void Pquotetotex_env(); |
void Pflatten_quote(); |
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(); |
void Pquote_to_funargs(),Pfunargs_to_quote(),Pget_function_name(); |
void Pquote_unify(),Pget_quote_id(),Pquote_match_rewrite(); |
void Pquote_unify(),Pget_quote_id(),Pquote_match_rewrite(); |
void Pquote_to_nary(),Pquote_to_bin(); |
void Pquote_to_nary(),Pquote_to_bin(); |
Line 107 struct ftab str_tab[] = { |
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Line 112 struct ftab str_tab[] = { |
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{"tb_to_string",Ptb_to_string,1}, |
{"tb_to_string",Ptb_to_string,1}, |
{"string_to_tb",Pstring_to_tb,1}, |
{"string_to_tb",Pstring_to_tb,1}, |
{"get_quote_id",Pget_quote_id,1}, |
{"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}, |
{"quote_to_nary",Pquote_to_nary,1}, |
{"quote_to_bin",Pquote_to_bin,2}, |
{"quote_to_bin",Pquote_to_bin,2}, |
{"quotetotex_tb",Pquotetotex_tb,2}, |
{"quotetotex_tb",Pquotetotex_tb,2}, |
Line 513 void Pwrite_to_tb(NODE arg,Q *rp) |
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Line 527 void Pwrite_to_tb(NODE arg,Q *rp) |
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*rp = 0; |
*rp = 0; |
} |
} |
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FNODE partial_eval(FNODE), quote_to_nary(FNODE), quote_to_bin(FNODE,int); |
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) |
void Pquote_to_nary(NODE arg,QUOTE *rp) |
{ |
{ |
FNODE f; |
FNODE f; |
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f = quote_to_nary(BDY((QUOTE)ARG0(arg))); |
f = fnode_to_nary(BDY((QUOTE)ARG0(arg))); |
MKQUOTE(*rp,f); |
MKQUOTE(*rp,f); |
} |
} |
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Line 529 void Pquote_to_bin(NODE arg,QUOTE *rp) |
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Line 544 void Pquote_to_bin(NODE arg,QUOTE *rp) |
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int direction; |
int direction; |
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direction = QTOS((Q)ARG1(arg)); |
direction = QTOS((Q)ARG1(arg)); |
f = quote_to_bin(BDY((QUOTE)ARG0(arg)),direction); |
f = fnode_to_bin(BDY((QUOTE)ARG0(arg)),direction); |
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MKQUOTE(*rp,f); |
MKQUOTE(*rp,f); |
} |
} |
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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"); |
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ret = fnode_is_number(BDY(q)); |
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STOQ(ret,*rp); |
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} |
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void Pquote_is_rational(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_rational"); |
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ret = fnode_is_rational(BDY(q)); |
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STOQ(ret,*rp); |
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} |
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void Pquote_is_integer(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_integer"); |
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ret = fnode_is_integer(BDY(q)); |
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STOQ(ret,*rp); |
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} |
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void Pquote_is_function(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_function"); |
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if ( q->id == I_FUNC || q->id == I_IFUNC ) |
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ret = 1; |
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else |
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ret = 0; |
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STOQ(ret,*rp); |
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} |
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void Pquote_is_dependent(NODE arg,Q *rp) |
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{ |
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P x; |
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QUOTE q,v; |
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int ret; |
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V var; |
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q = (QUOTE)ARG0(arg); |
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v = (QUOTE)ARG1(arg); |
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asir_assert(q,O_QUOTE,"quote_is_dependent"); |
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asir_assert(v,O_QUOTE,"quote_is_dependent"); |
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x = (P)eval(BDY(v)); |
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if ( !x || OID(x) != O_P ) |
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*rp = 0; |
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var = VR(x); |
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ret = fnode_is_dependent(BDY(q),var); |
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STOQ(ret,*rp); |
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} |
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void Pquote_unify(NODE arg,Q *rp) |
void Pquote_unify(NODE arg,Q *rp) |
{ |
{ |
FNODE f,g; |
FNODE f,g; |
Line 794 int quote_unify(Obj f, Obj pat, NODE *rp) |
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Line 876 int quote_unify(Obj f, Obj pat, NODE *rp) |
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else { |
else { |
/* XXX converting to I_BOP */ |
/* XXX converting to I_BOP */ |
if ( pid == I_NARYOP ) { |
if ( pid == I_NARYOP ) { |
g = quote_to_bin(BDY((QUOTE)pat),1); |
g = fnode_to_bin(BDY((QUOTE)pat),1); |
MKQUOTE(q,g); pat = (Obj)q; |
MKQUOTE(q,g); pat = (Obj)q; |
} |
} |
if ( id == I_NARYOP ) { |
if ( id == I_NARYOP ) { |
g = quote_to_bin(BDY((QUOTE)f),1); |
g = fnode_to_bin(BDY((QUOTE)f),1); |
MKQUOTE(q,g); f = (Obj)q; |
MKQUOTE(q,g); f = (Obj)q; |
} |
} |
} |
} |
Line 1216 void fnodetotex_tb(FNODE f,TB tb) |
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Line 1298 void fnodetotex_tb(FNODE f,TB tb) |
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/* otherwise => FA1(f), FA2(f) */ |
/* otherwise => FA1(f), FA2(f) */ |
case I_BOP: |
case I_BOP: |
opname = ((ARF)FA0(f))->name; |
opname = ((ARF)FA0(f))->name; |
if ( !strcmp(opname,"+") ) { |
switch ( opname[0] ) { |
fnodetotex_tb((FNODE)FA1(f),tb); |
case '+': |
if ( !top_is_minus((FNODE)FA2(f)) ) write_tb(opname,tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
if ( !top_is_minus((FNODE)FA2(f)) ) write_tb(opname,tb); |
} else if ( !strcmp(opname,"-") ) { |
fnodetotex_tb((FNODE)FA2(f),tb); |
if ( FA1(f) ) fnodetotex_tb((FNODE)FA1(f),tb); |
break; |
write_tb(opname,tb); |
case '-': |
fnodetotex_tb((FNODE)FA2(f),tb); |
if ( FA1(f) ) fnodetotex_tb((FNODE)FA1(f),tb); |
} else if ( !strcmp(opname,"*") ) { |
write_tb(opname,tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
write_tb(" ",tb); |
break; |
/* XXX special care for DP */ |
case '*': |
f2 = (FNODE)FA2(f); |
fnodetotex_tb((FNODE)FA1(f),tb); |
if ( f2->id == I_EV ) { |
write_tb(" ",tb); |
n = (NODE)FA0(f2); |
/* XXX special care for DP */ |
for ( i = 0; n; n = NEXT(n), i++ ) { |
f2 = (FNODE)FA2(f); |
fi = (FNODE)BDY(n); |
if ( f2->id == I_EV ) { |
if ( fi->id != I_FORMULA || FA0(fi) ) |
n = (NODE)FA0(f2); |
break; |
for ( i = 0; n; n = NEXT(n), i++ ) { |
} |
fi = (FNODE)BDY(n); |
if ( n ) |
if ( fi->id != I_FORMULA || FA0(fi) ) |
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break; |
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} |
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if ( n ) |
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fnodetotex_tb((FNODE)FA2(f),tb); |
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} else |
fnodetotex_tb((FNODE)FA2(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
} else |
break; |
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case '/': |
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write_tb("\\frac{",tb); |
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fnodetotex_tb((FNODE)FA1(f),tb); |
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write_tb("} {",tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
} else if ( !strcmp(opname,"/") ) { |
write_tb("}",tb); |
write_tb("\\frac{",tb); |
break; |
fnodetotex_tb((FNODE)FA1(f),tb); |
case '^': |
write_tb("} {",tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
write_tb("^{",tb); |
write_tb("}",tb); |
fnodetotex_tb(strip_paren((FNODE)FA2(f)),tb); |
} else if ( !strcmp(opname,"^") ) { |
write_tb("} ",tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
break; |
write_tb("^{",tb); |
case '%': |
fnodetotex_tb(strip_paren((FNODE)FA2(f)),tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
write_tb("} ",tb); |
write_tb(" {\\rm mod}\\, ",tb); |
} else if ( !strcmp(opname,"%") ) { |
fnodetotex_tb((FNODE)FA2(f),tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
break; |
write_tb(" {\\rm mod}\\, ",tb); |
default: |
fnodetotex_tb((FNODE)FA2(f),tb); |
error("invalid binary operator"); |
} else |
break; |
error("invalid binary operator"); |
} |
break; |
break; |
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case I_COP: |
case I_COP: |
Line 1827 void Pfunargs_to_quote(NODE arg,QUOTE *rp) |
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Line 1918 void Pfunargs_to_quote(NODE arg,QUOTE *rp) |
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} |
} |
MKQUOTE(*rp,f); |
MKQUOTE(*rp,f); |
} |
} |
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FNODE fnode_apply(FNODE f,FNODE (*func)()); |
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FNODE fnode_normalize(FNODE f); |
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FNODE fnode_normalize_monomial(FNODE f); |
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void Pquote_normalize(NODE arg,QUOTE *rp) |
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{ |
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QUOTE q,r; |
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FNODE f; |
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q = (QUOTE)ARG0(arg); |
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if ( !q || OID(q) != O_QUOTE ) { |
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*rp = q; |
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return; |
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} else { |
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f = fnode_normalize(BDY(q)); |
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f = flatten_fnode(f,"+"); |
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f = flatten_fnode(f,"*"); |
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f = fnode_to_nary(f); |
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f = fnode_normalize_monomial(f); |
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MKQUOTE(r,f); |
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*rp = r; |
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} |
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} |
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int fnode_is_number(FNODE f) |
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{ |
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Obj obj; |
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switch ( f->id ) { |
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case I_MINUS: case I_PAREN: |
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return fnode_is_number(FA0(f)); |
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case I_FORMULA: |
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obj = FA0(f); |
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if ( !obj ) return 1; |
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else if ( OID(obj) == O_QUOTE ) |
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return fnode_is_number(BDY((QUOTE)obj)); |
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else if ( NUM(obj) ) return 1; |
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else return 0; |
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case I_BOP: |
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return fnode_is_number(FA1(f)) && fnode_is_number(FA2(f)); |
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default: |
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return 0; |
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} |
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} |
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int fnode_is_rational(FNODE f) |
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{ |
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Obj obj; |
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switch ( f->id ) { |
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case I_MINUS: case I_PAREN: |
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return fnode_is_number(FA0(f)); |
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case I_FORMULA: |
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obj = FA0(f); |
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if ( !obj ) return 1; |
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else if ( OID(obj) == O_QUOTE ) |
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return fnode_is_rational(BDY((QUOTE)obj)); |
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else if ( NUM(obj) && RATN(obj) ) return 1; |
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else return 0; |
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case I_BOP: |
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if ( !strcmp(((ARF)FA0(f))->name,"^") ) |
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return fnode_is_rational(FA1(f)) && fnode_is_integer(FA2(f)); |
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else |
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return fnode_is_rational(FA1(f)) && fnode_is_rational(FA2(f)); |
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default: |
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return 0; |
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} |
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} |
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int fnode_is_integer(FNODE f) |
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{ |
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Obj obj; |
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switch ( f->id ) { |
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case I_MINUS: case I_PAREN: |
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return fnode_is_integer(FA0(f)); |
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case I_FORMULA: |
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obj = FA0(f); |
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if ( !obj ) return 1; |
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else if ( OID(obj) == O_QUOTE ) |
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return fnode_is_integer(BDY((QUOTE)obj)); |
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else if ( INT(obj)) return 1; |
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else return 0; |
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case I_BOP: |
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switch ( ((ARF)FA0(f))->name[0] ) { |
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case '^': |
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return fnode_is_integer(FA1(f)) |
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&& fnode_is_nonnegative_integer(FA2(f)); |
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case '/': |
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return fnode_is_integer(FA1(f)) && |
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( fnode_is_one(FA2(f)) || fnode_is_minusone(FA2(f)) ); |
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default: |
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return fnode_is_integer(FA1(f)) && fnode_is_integer(FA2(f)); |
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} |
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break; |
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default: |
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return 0; |
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} |
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} |
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int fnode_is_zero(FNODE f) |
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{ |
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Q n; |
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n = eval(f); |
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if ( !n ) return 1; |
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else return 0; |
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} |
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int fnode_is_nonnegative_integer(FNODE f) |
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{ |
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Q n; |
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n = eval(f); |
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if ( !n || (INT(n) && SGN(n) > 0) ) return 1; |
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else return 0; |
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} |
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int fnode_is_one(FNODE f) |
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{ |
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Q n; |
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n = eval(f); |
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if ( UNIQ(n) ) return 1; |
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else return 0; |
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} |
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int fnode_is_minusone(FNODE f) |
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{ |
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Q n; |
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n = eval(f); |
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if ( MUNIQ(n) ) return 1; |
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else return 0; |
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} |
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int fnode_is_dependent(FNODE f,V v) |
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{ |
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Obj obj; |
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FNODE arg; |
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NODE t; |
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switch ( f->id ) { |
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case I_MINUS: case I_PAREN: |
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return fnode_is_dependent(FA0(f),v); |
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case I_FORMULA: |
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obj = FA0(f); |
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if ( !obj ) return 0; |
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else if ( OID(obj) == O_QUOTE ) |
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return fnode_is_dependent(BDY((QUOTE)obj),v); |
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else if ( obj_is_dependent(obj,v) ) return 1; |
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else return 0; |
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case I_BOP: |
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return fnode_is_dependent(FA1(f),v) || fnode_is_dependent(FA2(f),v); |
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case I_FUNC: |
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arg = (FNODE)FA1(f); |
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for ( t = FA0(arg); t; t = NEXT(t) ) |
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if ( fnode_is_dependent(BDY(t),v) ) return 1; |
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return 0; |
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default: |
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return 0; |
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} |
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} |
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FNODE fnode_normalize(FNODE f) |
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{ |
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FNODE a2,mone; |
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Q q; |
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NODE n; |
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f = fnode_apply(f,fnode_normalize); |
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switch ( f->id ) { |
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case I_PAREN: |
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return FA0(f); |
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case I_BOP: |
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/* arf fnode fnode */ |
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switch ( ((ARF)FA0(f))->name[0] ) { |
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case '-': |
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a2 = mkfnode(1,I_MINUS,FA2(f)); |
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return mkfnode(3,I_BOP,addfs,FA1(f),a2); |
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case '/': |
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STOQ(-1,q); |
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mone = mkfnode(1,I_FORMULA,q); |
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a2 = mkfnode(3,I_BOP,pwrfs,FA2(f),mone); |
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return mkfnode(3,I_BOP,mulfs,FA1(f),a2); |
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default: |
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return f; |
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} |
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break; |
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default: |
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return f; |
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} |
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} |
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NODE fnode_simplify_monomial(NODE n); |
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FNODE fnode_normalize_monomial(FNODE f) |
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{ |
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NODE n; |
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f = fnode_apply(f,fnode_normalize_monomial); |
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switch ( f->id ) { |
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case I_PAREN: |
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return FA0(f); |
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case I_NARYOP: |
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switch ( ((ARF)FA0(f))->name[0] ) { |
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case '*': |
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n = fnode_simplify_monomial((NODE)FA1(f)); |
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if ( !n ) |
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return mkfnode(1,I_FORMULA,0); |
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else |
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return mkfnode(2,I_NARYOP,FA0(f),n); |
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default: |
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return f; |
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} |
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break; |
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default: |
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return f; |
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break; |
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} |
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} |
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FNODE fnode_apply(FNODE f,FNODE (*func)()) |
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{ |
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fid_spec_p spec; |
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FNODE r; |
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int i,n; |
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NODE t,t0,s; |
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get_fid_spec(f->id,&spec); |
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for ( n = 0; spec->type[n] != A_end; n++ ); |
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NEWFNODE(r,n); r->id = f->id; |
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for ( i = 0; i < n; i++ ) { |
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switch ( spec->type[i] ) { |
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case A_fnode: |
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r->arg[i] = func(f->arg[i]); |
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break; |
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case A_node: |
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s = (NODE)f->arg[i]; |
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for ( t0 = 0; s; s = NEXT(s) ) { |
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NEXTNODE(t0,t); |
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BDY(t) = (pointer)func((FNODE)BDY(s)); |
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} |
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if ( t0 ) NEXT(t) = 0; |
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r->arg[i] = t0; |
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break; |
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default: |
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r->arg[i] = f->arg[i]; |
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break; |
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} |
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} |
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return r; |
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} |
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NODE fnode_simplify_monomial(NODE n) |
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{ |
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int l,i,j; |
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FNODE *b; |
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Obj *e; |
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NODE t,r,r1; |
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FNODE f,base; |
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QUOTE q; |
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Obj exp,exp1; |
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Num c,c1; |
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|
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for ( l = 0, t = n; t; t = NEXT(t), l++ ); |
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b = (FNODE *)MALLOC(l*sizeof(FNODE)); |
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e = (Obj *)MALLOC(l*sizeof(Obj)); |
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c = (Num)ONE; |
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for ( i = 0, t = n; t; t = NEXT(t) ) { |
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f = (FNODE)BDY(t); |
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if ( fnode_is_number(f) ) { |
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if ( fnode_is_zero(f) ) return 0; |
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else { |
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mulnum(0,c,(Num)eval(f),&c1); c = c1; |
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} |
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} else { |
|
if ( f->id == I_BOP && ((ARF)FA0(f))->name[0] == '^' ) { |
|
base = FA1(f); |
|
exp = (Obj)eval(FA2(f)); |
|
} else { |
|
base = f; exp = (Obj)ONE; |
|
} |
|
if ( i > 0 && !compfnode(b[i-1],base) ) { |
|
arf_add(CO,e[i-1],exp,&exp1); |
|
if ( !exp1 ) |
|
i--; |
|
else |
|
e[i-1] = exp1; |
|
} else { |
|
b[i] = base; |
|
e[i] = exp; |
|
i++; |
|
} |
|
} |
|
} |
|
if ( !i ) { |
|
/* coeff only */ |
|
MKNODE(r,c,0); |
|
return r; |
|
} else { |
|
r = 0; |
|
for ( j = i-1; j >= 0; j-- ) { |
|
if ( UNIQ(e[j]) ) |
|
f = b[j]; |
|
else { |
|
objtoquote(e[j],&q); |
|
f = mkfnode(3,I_BOP,pwrfs,b[j],BDY(q)); |
|
} |
|
MKNODE(r1,f,r); r = r1; |
|
} |
|
f = mkfnode(1,I_FORMULA,c); |
|
MKNODE(r1,f,r); r = r1; |
|
return r; |
|
} |
|
} |
|
|