version 1.70, 2005/10/12 03:31:04 |
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 1.69 2005/10/05 08:57:25 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 Psprintf(); |
Line 1921 void Pfunargs_to_quote(NODE arg,QUOTE *rp) |
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Line 1923 void Pfunargs_to_quote(NODE arg,QUOTE *rp) |
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FNODE fnode_apply(FNODE f,FNODE (*func)()); |
FNODE fnode_apply(FNODE f,FNODE (*func)()); |
FNODE fnode_normalize(FNODE f); |
FNODE fnode_normalize(FNODE f); |
FNODE fnode_normalize_monomial(FNODE f); |
FNODE fnode_normalize_nary(FNODE f); |
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void Pquote_normalize(NODE arg,QUOTE *rp) |
void Pquote_normalize(NODE arg,QUOTE *rp) |
{ |
{ |
Line 1934 void Pquote_normalize(NODE arg,QUOTE *rp) |
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Line 1936 void Pquote_normalize(NODE arg,QUOTE *rp) |
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return; |
return; |
} else { |
} else { |
f = fnode_normalize(BDY(q)); |
f = fnode_normalize(BDY(q)); |
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); |
MKQUOTE(r,f); |
*rp = r; |
*rp = r; |
} |
} |
Line 2096 int fnode_is_dependent(FNODE f,V v) |
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Line 2094 int fnode_is_dependent(FNODE f,V v) |
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} |
} |
} |
} |
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FNODE fnode_normalize_add(FNODE a1,FNODE a2); |
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FNODE fnode_normalize_mul(FNODE a1,FNODE a2); |
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FNODE to_narymul(FNODE f); |
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FNODE to_naryadd(FNODE f); |
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FNODE fnode_normalize_mul_coef(Num c,FNODE f); |
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void fnode_base_exp(FNODE f,FNODE *bp,FNODE *ep); |
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void fnode_coef_body(FNODE f,Num *cp,FNODE *bp); |
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FNODE fnode_normalize(FNODE f) |
FNODE fnode_normalize(FNODE f) |
{ |
{ |
FNODE a2,mone; |
FNODE a1,a2,mone,r; |
Q q; |
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NODE n; |
NODE n; |
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Q q; |
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f = fnode_apply(f,fnode_normalize); |
STOQ(-1,q); |
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mone = mkfnode(1,I_FORMULA,q); |
switch ( f->id ) { |
switch ( f->id ) { |
case I_PAREN: |
case I_PAREN: |
return FA0(f); |
return fnode_normalize(FA0(f)); |
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case I_MINUS: |
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return fnode_normalize_mul_coef((Num)q,fnode_normalize(FA0(f))); |
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case I_BOP: |
case I_BOP: |
/* arf fnode fnode */ |
/* arf fnode fnode */ |
switch ( ((ARF)FA0(f))->name[0] ) { |
a1 = fnode_normalize(FA1(f)); |
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a2 = fnode_normalize(FA2(f)); |
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switch ( OPNAME(f) ) { |
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case '+': |
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return fnode_normalize_add(a1,a2); |
case '-': |
case '-': |
a2 = mkfnode(1,I_MINUS,FA2(f)); |
a2 = fnode_normalize_mul_coef((Num)q,a2); |
return mkfnode(3,I_BOP,addfs,FA1(f),a2); |
return fnode_normalize_add(a1,a2); |
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case '*': |
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return fnode_normalize_mul(a1,a2); |
case '/': |
case '/': |
STOQ(-1,q); |
a2 = mkfnode(3,I_BOP,pwrfs,a2,mone); |
mone = mkfnode(1,I_FORMULA,q); |
return fnode_normalize_mul(FA1(f),a2); |
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: |
default: |
return f; |
return mkfnode(3,I_BOP,FA0(f),a1,a2); |
} |
} |
break; |
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: |
case I_NARYOP: |
switch ( ((ARF)FA0(f))->name[0] ) { |
switch ( OPNAME(f) ) { |
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case '+': |
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n = BDY((NODE)FA1(f)); |
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r = fnode_normalize(BDY(n)); n = NEXT(n); |
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for ( ; n; n = NEXT(n) ) { |
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a1 = fnode_normalize(BDY(n)); |
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r = fnode_normalize_add(r,a1); |
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} |
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return r; |
case '*': |
case '*': |
n = fnode_simplify_monomial((NODE)FA1(f)); |
n = BDY((NODE)FA1(f)); |
if ( !n ) |
r = fnode_normalize(BDY(n)); n = NEXT(n); |
return mkfnode(1,I_FORMULA,0); |
for ( ; n; n = NEXT(n) ) { |
else |
a1 = fnode_normalize(BDY(n)); |
return mkfnode(2,I_NARYOP,FA0(f),n); |
r = fnode_normalize_mul(r,a1); |
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} |
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return r; |
default: |
default: |
return f; |
error("fnode_normallize : cannot happen"); |
} |
} |
break; |
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default: |
default: |
return f; |
return fnode_apply(f,fnode_normalize); |
break; |
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} |
} |
} |
} |
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Line 2190 FNODE fnode_apply(FNODE f,FNODE (*func)()) |
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Line 2197 FNODE fnode_apply(FNODE f,FNODE (*func)()) |
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return r; |
return r; |
} |
} |
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NODE fnode_simplify_monomial(NODE n) |
FNODE fnode_normalize_add(FNODE f1,FNODE f2) |
{ |
{ |
int l,i,j; |
NODE n1,n2,r0,r; |
FNODE *b; |
FNODE b1,b2; |
Obj *e; |
int s; |
NODE t,r,r1; |
Num c1,c2,c; |
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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for ( l = 0, t = n; t; t = NEXT(t), l++ ); |
if ( fnode_is_zero(f1) ) return f2; |
b = (FNODE *)MALLOC(l*sizeof(FNODE)); |
else if ( fnode_is_zero(f2) ) return f1; |
e = (Obj *)MALLOC(l*sizeof(Obj)); |
if ( f1->id != I_NARYOP || OPNAME(f1) != '+' ) f1 = to_naryadd(f1); |
c = (Num)ONE; |
if ( f2->id != I_NARYOP || OPNAME(f2) != '+' ) f2 = to_naryadd(f2); |
for ( i = 0, t = n; t; t = NEXT(t) ) { |
n1 = (NODE)FA1(f1); |
f = (FNODE)BDY(t); |
n2 = (NODE)FA1(f2); |
if ( fnode_is_number(f) ) { |
r0 = 0; |
if ( fnode_is_zero(f) ) return 0; |
while ( n1 && n2 ) { |
else { |
fnode_coef_body(BDY(n1),&c1,&b1); |
mulnum(0,c,(Num)eval(f),&c1); c = c1; |
fnode_coef_body(BDY(n2),&c2,&b2); |
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s = compfnode(b1,b2); |
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if ( s > 0 ) { |
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NEXTNODE(r0,r); BDY(r) = b1; n1 = NEXT(n1); |
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} else if ( s < 0 ) { |
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NEXTNODE(r0,r); BDY(r) = b2; n2 = NEXT(n2); |
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} else { |
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addnum(0,c1,c2,&c); |
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if ( c ) { |
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NEXTNODE(r0,r); BDY(r) = fnode_normalize_mul_coef(c,b1); |
} |
} |
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n1 = NEXT(n1); n2 = NEXT(n2); |
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} |
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} |
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if ( n1 ) |
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if ( r0 ) NEXT(r) = n1; |
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else r0 = n1; |
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else if ( n2 ) |
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if ( r0 ) NEXT(r) = n2; |
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else r0 = n2; |
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else if ( r0 ) |
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NEXT(r) = 0; |
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if ( !r0 ) |
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return mkfnode(1,I_FORMULA,0); |
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else if ( !NEXT(r0) ) |
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return BDY(r0); |
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else |
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return mkfnode(2,I_NARYOP,addfs,r0); |
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} |
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FNODE fnode_normalize_mul(FNODE f1,FNODE f2) |
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{ |
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NODE n1,n2,r0,r,r1; |
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FNODE b1,b2,e1,e2,cc; |
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FNODE *m; |
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int s; |
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Num c1,c2,c,e; |
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int l1,l2,l,i,j; |
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if ( fnode_is_zero(f1) || fnode_is_zero(f2) ) return 0; |
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if ( f1->id != I_NARYOP || OPNAME(f1) != '*' ) f1 = to_narymul(f1); |
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if ( f2->id != I_NARYOP || OPNAME(f2) != '*' ) f2 = to_narymul(f2); |
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n1 = (NODE)FA1(f1); |
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n2 = (NODE)FA1(f2); |
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if ( fnode_is_number(BDY(n1)) ) |
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if ( fnode_is_number(BDY(n2)) ) { |
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mulnum(0,eval(BDY(n1)),eval(BDY(n2)),&c); |
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n1 = NEXT(n1); n2 = NEXT(n2); |
} else { |
} else { |
if ( f->id == I_BOP && ((ARF)FA0(f))->name[0] == '^' ) { |
c = eval(BDY(n1)); n1 = NEXT(n1); |
base = FA1(f); |
} |
exp = (Obj)eval(FA2(f)); |
else if ( fnode_is_number(BDY(n2)) ) { |
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c = eval(BDY(n2)); n2 = NEXT(n2); |
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} else |
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c = (Num)ONE; |
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if ( !c ) return mkfnode(1,I_FORMULA,0); |
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l1 = length(n1); |
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l2 = length(n2); |
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l = l1+l2; |
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m = (FNODE *)ALLOCA(l*sizeof(FNODE)); |
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for ( r = n1, i = 0; i < l1; r = NEXT(r), i++ ) m[i] = BDY(r); |
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for ( r = n2; r; r = NEXT(r) ) { |
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if ( i == 0 ) |
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m[i++] = BDY(r); |
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else { |
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fnode_base_exp(m[i-1],&b1,&e1); |
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fnode_base_exp(BDY(r),&b2,&e2); |
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if ( compfnode(b1,b2) ) { |
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for ( j = i-1; j >= 0; j-- ) { |
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MKNODE(r1,m[j],r); r = r1; |
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} |
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cc = mkfnode(1,I_FORMULA,c); |
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MKNODE(r1,cc,r); r = r1; |
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return mkfnode(2,I_NARYOP,mulfs,r); |
} else { |
} else { |
base = f; exp = (Obj)ONE; |
addnum(0,eval(e1),eval(e2),&e); |
} |
if ( !e ) i--; |
if ( i > 0 && !compfnode(b[i-1],base) ) { |
else if ( UNIQ(e) ) |
arf_add(CO,e[i-1],exp,&exp1); |
m[i-1] = b1; |
if ( !exp1 ) |
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i--; |
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else |
else |
e[i-1] = exp1; |
m[i-1] = mkfnode(3,I_BOP,pwrfs,b1,mkfnode(1,I_FORMULA,e)); |
} else { |
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b[i] = base; |
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e[i] = exp; |
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i++; |
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} |
} |
} |
} |
} |
} |
if ( !i ) { |
if ( !i ) return mkfnode(1,I_FORMULA,c); |
/* coeff only */ |
else { |
MKNODE(r,c,0); |
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return r; |
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} else { |
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r = 0; |
r = 0; |
for ( j = i-1; j >= 0; j-- ) { |
for ( j = i-1; j >= 0; j-- ) { |
if ( UNIQ(e[j]) ) |
MKNODE(r1,m[j],r); r = r1; |
f = b[j]; |
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else { |
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objtoquote(e[j],&q); |
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f = mkfnode(3,I_BOP,pwrfs,b[j],BDY(q)); |
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} |
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MKNODE(r1,f,r); r = r1; |
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} |
} |
f = mkfnode(1,I_FORMULA,c); |
cc = mkfnode(1,I_FORMULA,c); |
MKNODE(r1,f,r); r = r1; |
MKNODE(r1,cc,r); |
return r; |
r = r1; |
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return mkfnode(2,I_NARYOP,mulfs,r); |
} |
} |
} |
} |
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/* f = b^e */ |
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void fnode_base_exp(FNODE f,FNODE *bp,FNODE *ep) |
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{ |
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if ( f->id == I_BOP && OPNAME(f) == '^' ) { |
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*bp = FA1(f); *ep = FA2(f); |
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} else { |
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*bp = f; *ep = mkfnode(1,I_FORMULA,ONE); |
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} |
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} |
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FNODE to_naryadd(FNODE f) |
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{ |
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FNODE r; |
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NODE n; |
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NEWFNODE(r,2); |
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r->id = I_NARYOP; |
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FA0(r) = addfs; |
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MKNODE(n,f,0); |
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FA1(r) = n; |
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return r; |
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} |
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FNODE to_narymul(FNODE f) |
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{ |
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FNODE r; |
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NODE n; |
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NEWFNODE(r,2); |
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r->id = I_NARYOP; |
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FA0(r) = mulfs; |
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MKNODE(n,f,0); |
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FA1(r) = n; |
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return r; |
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} |
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FNODE fnode_normalize_mul_coef(Num c,FNODE f) |
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{ |
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FNODE cc; |
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Num c1,c2; |
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NODE n,r0,r; |
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if ( !c ) |
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return mkfnode(I_FORMULA,0); |
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else if ( fnode_is_number(f) ) { |
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mulnum(0,c,eval(f),&c1); return mkfnode(1,I_FORMULA,c1); |
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} else if ( f->id == I_NARYOP && OPNAME(f) == '*' ) { |
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cc = (FNODE)BDY((NODE)FA1(f)); |
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if ( fnode_is_number(cc) ) { |
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mulnum(0,c,eval(cc),&c2); cc = mkfnode(1,I_FORMULA,c2); |
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MKNODE(n,cc,NEXT((NODE)FA1(f))); |
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} else { |
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cc = mkfnode(1,I_FORMULA,c); |
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MKNODE(n,cc,(NODE)FA1(f)); |
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} |
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return mkfnode(2,I_NARYOP,FA0(f),n); |
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} else if ( f->id == I_NARYOP && OPNAME(f) == '+' ) { |
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for ( r0 = 0, n = (NODE)FA1(f); n; n = NEXT(n) ) { |
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NEXTNODE(r0,r); |
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BDY(r) = fnode_normalize_mul_coef(c,BDY(n)); |
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} |
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if ( r0 ) NEXT(r) = 0; |
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return mkfnode(2,I_NARYOP,FA0(f),r0); |
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} else { |
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cc = mkfnode(1,I_FORMULA,c); |
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n = mknode(2,cc,f); |
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return mkfnode(2,I_NARYOP,mulfs,n); |
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} |
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} |
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void fnode_coef_body(FNODE f,Num *cp,FNODE *bp) |
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{ |
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FNODE c; |
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NODE n; |
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if ( fnode_is_number(f) ) { |
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*cp = eval(f); *bp = mkfnode(1,I_FORMULA,ONE); |
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} else if ( f->id == I_NARYOP && OPNAME(f) == '*' ) { |
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c = (FNODE)BDY((NODE)FA1(f)); |
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if ( fnode_is_number(c) ) { |
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*cp = eval(c); |
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n = NEXT((NODE)FA1(f)); |
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if ( !n ) |
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*bp = mkfnode(1,I_FORMULA,ONE); |
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else if ( !NEXT(n) ) |
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*bp = BDY(n); |
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else |
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*bp = mkfnode(2,I_NARYOP,FA0(f),n); |
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} else { |
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*cp = (Num)ONE; *bp = f; |
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} |
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} else { |
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*cp = (Num)ONE; *bp = f; |
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} |
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} |