version 1.74, 2005/10/14 07:49:21 |
version 1.75, 2005/10/15 01:10:15 |
|
|
* 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 1.73 2005/10/14 07:39:38 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.74 2005/10/14 07:49:21 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "parse.h" |
#include "parse.h" |
Line 64 struct TeXSymbol { |
|
Line 64 struct TeXSymbol { |
|
}; |
}; |
|
|
#define OPNAME(f) (((ARF)FA0(f))->name[0]) |
#define OPNAME(f) (((ARF)FA0(f))->name[0]) |
|
#define IS_BINARYPWR(f) (((f)->id==I_BOP) &&(OPNAME(f)=='^')) |
|
#define IS_NARYADD(f) (((f)->id==I_NARYOP) &&(OPNAME(f)=='+')) |
|
#define IS_NARYMUL(f) (((f)->id==I_NARYOP) &&(OPNAME(f)=='*')) |
|
|
extern char *parse_strp; |
extern char *parse_strp; |
|
|
Line 2098 FNODE fnode_normalize_mul(FNODE a1,FNODE a2); |
|
Line 2101 FNODE fnode_normalize_mul(FNODE a1,FNODE a2); |
|
FNODE fnode_normalize_pwr(FNODE a1,FNODE a2); |
FNODE fnode_normalize_pwr(FNODE a1,FNODE a2); |
FNODE to_narymul(FNODE f); |
FNODE to_narymul(FNODE f); |
FNODE to_naryadd(FNODE f); |
FNODE to_naryadd(FNODE f); |
|
FNODE fnode_node_to_naryadd(NODE n); |
|
FNODE fnode_node_to_narymul(NODE n); |
FNODE fnode_normalize_mul_coef(Num c,FNODE f); |
FNODE fnode_normalize_mul_coef(Num c,FNODE f); |
void fnode_base_exp(FNODE f,FNODE *bp,FNODE *ep); |
void fnode_base_exp(FNODE f,FNODE *bp,FNODE *ep); |
void fnode_coef_body(FNODE f,Num *cp,FNODE *bp); |
void fnode_coef_body(FNODE f,Num *cp,FNODE *bp); |
Line 2107 FNODE fnode_normalize(FNODE f) |
|
Line 2112 FNODE fnode_normalize(FNODE f) |
|
{ |
{ |
FNODE a1,a2,mone,r,b2; |
FNODE a1,a2,mone,r,b2; |
NODE n; |
NODE n; |
Num invc2,c2; |
|
Q q; |
Q q; |
|
|
STOQ(-1,q); |
STOQ(-1,q); |
Line 2209 FNODE fnode_normalize_add(FNODE f1,FNODE f2) |
|
Line 2213 FNODE fnode_normalize_add(FNODE f1,FNODE f2) |
|
|
|
if ( fnode_is_zero(f1) ) return f2; |
if ( fnode_is_zero(f1) ) return f2; |
else if ( fnode_is_zero(f2) ) return f1; |
else if ( fnode_is_zero(f2) ) return f1; |
if ( f1->id != I_NARYOP || OPNAME(f1) != '+' ) f1 = to_naryadd(f1); |
f1 = to_naryadd(f1); f2 = to_naryadd(f2); |
if ( f2->id != I_NARYOP || OPNAME(f2) != '+' ) f2 = to_naryadd(f2); |
n1 = (NODE)FA1(f1); n2 = (NODE)FA1(f2); |
n1 = (NODE)FA1(f1); |
|
n2 = (NODE)FA1(f2); |
|
r0 = 0; |
r0 = 0; |
while ( n1 && n2 ) { |
while ( n1 && n2 ) { |
fnode_coef_body(BDY(n1),&c1,&b1); |
fnode_coef_body(BDY(n1),&c1,&b1); fnode_coef_body(BDY(n2),&c2,&b2); |
fnode_coef_body(BDY(n2),&c2,&b2); |
if ( (s = compfnode(b1,b2)) > 0 ) { |
s = compfnode(b1,b2); |
|
if ( s > 0 ) { |
|
NEXTNODE(r0,r); BDY(r) = BDY(n1); n1 = NEXT(n1); |
NEXTNODE(r0,r); BDY(r) = BDY(n1); n1 = NEXT(n1); |
} else if ( s < 0 ) { |
} else if ( s < 0 ) { |
NEXTNODE(r0,r); BDY(r) = BDY(n2); n2 = NEXT(n2); |
NEXTNODE(r0,r); BDY(r) = BDY(n2); n2 = NEXT(n2); |
} else { |
} else { |
addnum(0,c1,c2,&c); |
addnum(0,c1,c2,&c); |
if ( c ) { |
if ( c ) { |
NEXTNODE(r0,r); |
NEXTNODE(r0,r); BDY(r) = fnode_normalize_mul_coef(c,b1); |
BDY(r) = UNIQ(c) ? b1 : fnode_normalize_mul_coef(c,b1); |
|
} |
} |
n1 = NEXT(n1); n2 = NEXT(n2); |
n1 = NEXT(n1); n2 = NEXT(n2); |
} |
} |
Line 2240 FNODE fnode_normalize_add(FNODE f1,FNODE f2) |
|
Line 2239 FNODE fnode_normalize_add(FNODE f1,FNODE f2) |
|
else if ( r0 ) |
else if ( r0 ) |
NEXT(r) = 0; |
NEXT(r) = 0; |
|
|
if ( !r0 ) |
return fnode_node_to_naryadd(r0); |
return mkfnode(1,I_FORMULA,0); |
|
else if ( !NEXT(r0) ) |
|
return BDY(r0); |
|
else |
|
return mkfnode(2,I_NARYOP,addfs,r0); |
|
} |
} |
|
|
|
FNODE fnode_node_to_naryadd(NODE n) |
|
{ |
|
if ( !n ) return mkfnode(1,I_FORMULA,0); |
|
else if ( !NEXT(n) ) return BDY(n); |
|
else return mkfnode(2,I_NARYOP,addfs,n); |
|
} |
|
|
|
FNODE fnode_node_to_narymul(NODE n) |
|
{ |
|
if ( !n ) return mkfnode(1,I_FORMULA,ONE); |
|
else if ( !NEXT(n) ) return BDY(n); |
|
else return mkfnode(2,I_NARYOP,mulfs,n); |
|
} |
|
|
FNODE fnode_normalize_mul(FNODE f1,FNODE f2) |
FNODE fnode_normalize_mul(FNODE f1,FNODE f2) |
{ |
{ |
NODE n1,n2,r0,r,r1; |
NODE n1,n2,r0,r,r1; |
Line 2255 FNODE fnode_normalize_mul(FNODE f1,FNODE f2) |
|
Line 2263 FNODE fnode_normalize_mul(FNODE f1,FNODE f2) |
|
FNODE *m; |
FNODE *m; |
int s; |
int s; |
Num c1,c2,c,e; |
Num c1,c2,c,e; |
int l1,l2,l,i,j; |
int l1,l,i,j; |
|
|
if ( fnode_is_zero(f1) || fnode_is_zero(f2) ) return 0; |
if ( fnode_is_zero(f1) || fnode_is_zero(f2) ) return 0; |
|
else if ( fnode_is_number(f1) ) |
|
return fnode_normalize_mul_coef((Num)eval(f1),f2); |
|
else if ( fnode_is_number(f2) ) |
|
return fnode_normalize_mul_coef((Num)eval(f2),f1); |
|
|
if ( f1->id != I_NARYOP || OPNAME(f1) != '*' ) f1 = to_narymul(f1); |
fnode_coef_body(f1,&c1,&b1); fnode_coef_body(f2,&c2,&b2); |
if ( f2->id != I_NARYOP || OPNAME(f2) != '*' ) f2 = to_narymul(f2); |
mulnum(0,c1,c2,&c); |
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); |
if ( !c ) return mkfnode(1,I_FORMULA,0); |
|
|
l1 = length(n1); |
n1 = (NODE)FA1(to_narymul(b1)); n2 = (NODE)FA1(to_narymul(b2)); |
l2 = length(n2); |
l1 = length(n1); l = l1+length(n2); |
l = l1+l2; |
|
m = (FNODE *)ALLOCA(l*sizeof(FNODE)); |
m = (FNODE *)ALLOCA(l*sizeof(FNODE)); |
for ( r = n1, i = 0; i < l1; r = NEXT(r), i++ ) m[i] = BDY(r); |
for ( r = n1, i = 0; i < l1; r = NEXT(r), i++ ) m[i] = BDY(r); |
for ( r = n2; r; r = NEXT(r) ) { |
for ( r = n2; r; r = NEXT(r) ) { |
if ( i == 0 ) |
if ( i == 0 ) |
m[i++] = BDY(r); |
m[i++] = BDY(r); |
else { |
else { |
fnode_base_exp(m[i-1],&b1,&e1); |
fnode_base_exp(m[i-1],&b1,&e1); fnode_base_exp(BDY(r),&b2,&e2); |
fnode_base_exp(BDY(r),&b2,&e2); |
if ( compfnode(b1,b2) ) break; |
if ( compfnode(b1,b2) ) { |
addnum(0,eval(e1),eval(e2),&e); |
for ( j = i-1; j >= 0; j-- ) { |
if ( !e ) i--; |
MKNODE(r1,m[j],r); r = r1; |
else if ( UNIQ(e) ) |
} |
m[i-1] = b1; |
cc = mkfnode(1,I_FORMULA,c); |
else |
MKNODE(r1,cc,r); r = r1; |
m[i-1] = mkfnode(3,I_BOP,pwrfs,b1,mkfnode(1,I_FORMULA,e)); |
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); |
for ( j = i-1; j >= 0; j-- ) { |
else { |
MKNODE(r1,m[j],r); r = r1; |
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); |
|
} |
} |
|
if ( !UNIQ(c) ) { |
|
cc = mkfnode(1,I_FORMULA,c); MKNODE(r1,cc,r); r = r1; |
|
} |
|
return fnode_node_to_narymul(r); |
} |
} |
|
|
FNODE fnode_normalize_pwr(FNODE f1,FNODE f2) |
FNODE fnode_normalize_pwr(FNODE f1,FNODE f2) |
Line 2332 FNODE fnode_normalize_pwr(FNODE f1,FNODE f2) |
|
Line 2317 FNODE fnode_normalize_pwr(FNODE f1,FNODE f2) |
|
return mkfnode(1,I_FORMULA,c); |
return mkfnode(1,I_FORMULA,c); |
} else |
} else |
return mkfnode(3,I_BOP,pwrfs,f1,f2); |
return mkfnode(3,I_BOP,pwrfs,f1,f2); |
else if ( f1->id == I_BOP && OPNAME(f1) == '^' ) { |
else if ( IS_BINARYPWR(f1) ) { |
b1 = FA1(f1); e1 = FA2(f1); |
b1 = FA1(f1); e1 = FA2(f1); |
e = fnode_normalize_mul(e1,f2); |
e = fnode_normalize_mul(e1,f2); |
if ( fnode_is_one(e) ) |
if ( fnode_is_one(e) ) |
return b1; |
return b1; |
else |
else |
return mkfnode(3,I_BOP,FA0(f1),b1,e); |
return mkfnode(3,I_BOP,FA0(f1),b1,e); |
} else if ( f1->id == I_NARYOP && OPNAME(f1) == '*' ) { |
} else if ( IS_NARYMUL(f1) && fnode_is_integer(f2) ) { |
fnode_coef_body(f1,&c1,&b1); |
fnode_coef_body(f1,&c1,&b1); |
if ( fnode_is_integer(f2) ) { |
pwrnum(0,(Num)c1,(Num)eval(f2),&c); |
pwrnum(0,(Num)c1,(Num)eval(f2),&c); |
cc = mkfnode(1,I_FORMULA,c); |
cc = mkfnode(1,I_FORMULA,c); |
b = fnode_normalize_pwr(b1,f2); |
b = fnode_normalize_pwr(b1,f2); |
if ( fnode_is_one(cc) ) |
if ( fnode_is_one(cc) ) |
return b; |
return b; |
else |
else { |
return fnode_node_to_narymul(mknode(2,cc,b)); |
NEWFNODE(r,2); |
|
r->id = I_NARYOP; FA0(r) = mulfs; FA1(r) = mknode(2,cc,b); |
|
return r; |
|
} |
|
} else |
|
return mkfnode(3,I_BOP,pwrfs,f1,f2); |
|
} else |
} else |
return mkfnode(3,I_BOP,pwrfs,f1,f2); |
return mkfnode(3,I_BOP,pwrfs,f1,f2); |
} |
} |
Line 2361 FNODE fnode_normalize_pwr(FNODE f1,FNODE f2) |
|
Line 2340 FNODE fnode_normalize_pwr(FNODE f1,FNODE f2) |
|
/* f = b^e */ |
/* f = b^e */ |
void fnode_base_exp(FNODE f,FNODE *bp,FNODE *ep) |
void fnode_base_exp(FNODE f,FNODE *bp,FNODE *ep) |
{ |
{ |
if ( f->id == I_BOP && OPNAME(f) == '^' ) { |
if ( IS_BINARYPWR(f) ) { |
*bp = FA1(f); *ep = FA2(f); |
*bp = FA1(f); *ep = FA2(f); |
} else { |
} else { |
*bp = f; *ep = mkfnode(1,I_FORMULA,ONE); |
*bp = f; *ep = mkfnode(1,I_FORMULA,ONE); |
Line 2373 FNODE to_naryadd(FNODE f) |
|
Line 2352 FNODE to_naryadd(FNODE f) |
|
FNODE r; |
FNODE r; |
NODE n; |
NODE n; |
|
|
NEWFNODE(r,2); |
if ( IS_NARYADD(f) ) return f; |
r->id = I_NARYOP; |
|
FA0(r) = addfs; |
NEWFNODE(r,2); r->id = I_NARYOP; |
MKNODE(n,f,0); |
FA0(r) = addfs; MKNODE(n,f,0); FA1(r) = n; |
FA1(r) = n; |
|
return r; |
return r; |
} |
} |
|
|
Line 2386 FNODE to_narymul(FNODE f) |
|
Line 2364 FNODE to_narymul(FNODE f) |
|
FNODE r; |
FNODE r; |
NODE n; |
NODE n; |
|
|
NEWFNODE(r,2); |
if ( IS_NARYMUL(f) ) return f; |
r->id = I_NARYOP; |
|
FA0(r) = mulfs; |
NEWFNODE(r,2); r->id = I_NARYOP; |
MKNODE(n,f,0); |
FA0(r) = mulfs; MKNODE(n,f,0); FA1(r) = n; |
FA1(r) = n; |
|
return r; |
return r; |
} |
} |
|
|
FNODE fnode_normalize_mul_coef(Num c,FNODE f) |
FNODE fnode_normalize_mul_coef(Num c,FNODE f) |
{ |
{ |
FNODE cc; |
FNODE b1,cc,r; |
Num c1,c2; |
Num c1,c2; |
NODE n,r0,r; |
NODE n; |
|
|
if ( !c ) |
if ( !c ) |
return mkfnode(I_FORMULA,0); |
return mkfnode(I_FORMULA,0); |
else if ( UNIQ(c) ) |
else { |
return f; |
fnode_coef_body(f,&c1,&b1); |
else if ( fnode_is_number(f) ) { |
mulnum(0,c,c1,&c2); |
mulnum(0,c,eval(f),&c1); return mkfnode(1,I_FORMULA,c1); |
if ( UNIQ(c2) ) return b1; |
} else if ( f->id == I_NARYOP && OPNAME(f) == '*' ) { |
else { |
cc = (FNODE)BDY((NODE)FA1(f)); |
cc = mkfnode(1,I_FORMULA,c2); |
if ( fnode_is_number(cc) ) { |
if ( fnode_is_number(b1) ) { |
mulnum(0,c,eval(cc),&c2); |
if ( !fnode_is_one(b1) ) |
if ( UNIQ(c2) ) |
error("fnode_normalize_mul_coef : cannot happen"); |
n = NEXT((NODE)FA1(f)); |
else |
else { |
return cc; |
cc = mkfnode(1,I_FORMULA,c2); |
} else |
MKNODE(n,cc,NEXT((NODE)FA1(f))); |
if ( IS_NARYMUL(b1) ) { |
|
MKNODE(n,cc,FA1(b1)); |
|
} else { |
|
n = mknode(2,cc,b1); |
} |
} |
} else { |
r = fnode_node_to_narymul(n); |
cc = mkfnode(1,I_FORMULA,c); |
return r; |
MKNODE(n,cc,(NODE)FA1(f)); |
|
} |
} |
if ( NEXT(n) ) |
|
return mkfnode(2,I_NARYOP,FA0(f),n); |
|
else |
|
return (FNODE)BDY(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) |
void fnode_coef_body(FNODE f,Num *cp,FNODE *bp) |
{ |
{ |
FNODE c; |
FNODE c; |
NODE n; |
|
|
|
if ( fnode_is_number(f) ) { |
if ( fnode_is_number(f) ) { |
*cp = eval(f); *bp = mkfnode(1,I_FORMULA,ONE); |
*cp = eval(f); *bp = mkfnode(1,I_FORMULA,ONE); |
} else if ( f->id == I_NARYOP && OPNAME(f) == '*' ) { |
} else if ( IS_NARYMUL(f) ) { |
c = (FNODE)BDY((NODE)FA1(f)); |
c=(FNODE)BDY((NODE)FA1(f)); |
if ( fnode_is_number(c) ) { |
if ( fnode_is_number(c) ) { |
*cp = eval(c); |
*cp = eval(c); |
n = NEXT((NODE)FA1(f)); |
*bp = fnode_node_to_narymul(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 { |
} else { |
*cp = (Num)ONE; *bp = f; |
*cp = (Num)ONE; *bp = f; |
} |
} |