=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/strobj.c,v retrieving revision 1.74 retrieving revision 1.75 diff -u -p -r1.74 -r1.75 --- OpenXM_contrib2/asir2000/builtin/strobj.c 2005/10/14 07:49:21 1.74 +++ OpenXM_contrib2/asir2000/builtin/strobj.c 2005/10/15 01:10:15 1.75 @@ -45,7 +45,7 @@ * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. * - * $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.73 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 "parse.h" @@ -64,6 +64,9 @@ struct TeXSymbol { }; #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; @@ -2098,6 +2101,8 @@ FNODE fnode_normalize_mul(FNODE a1,FNODE a2); FNODE fnode_normalize_pwr(FNODE a1,FNODE a2); FNODE to_narymul(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); void fnode_base_exp(FNODE f,FNODE *bp,FNODE *ep); void fnode_coef_body(FNODE f,Num *cp,FNODE *bp); @@ -2107,7 +2112,6 @@ FNODE fnode_normalize(FNODE f) { FNODE a1,a2,mone,r,b2; NODE n; - Num invc2,c2; Q q; STOQ(-1,q); @@ -2209,24 +2213,19 @@ FNODE fnode_normalize_add(FNODE f1,FNODE f2) 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); + f1 = to_naryadd(f1); 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 ) { + fnode_coef_body(BDY(n1),&c1,&b1); fnode_coef_body(BDY(n2),&c2,&b2); + if ( (s = compfnode(b1,b2)) > 0 ) { NEXTNODE(r0,r); BDY(r) = BDY(n1); n1 = NEXT(n1); } else if ( s < 0 ) { NEXTNODE(r0,r); BDY(r) = BDY(n2); n2 = NEXT(n2); } else { addnum(0,c1,c2,&c); if ( c ) { - NEXTNODE(r0,r); - BDY(r) = UNIQ(c) ? b1 : fnode_normalize_mul_coef(c,b1); + NEXTNODE(r0,r); BDY(r) = fnode_normalize_mul_coef(c,b1); } n1 = NEXT(n1); n2 = NEXT(n2); } @@ -2240,14 +2239,23 @@ FNODE fnode_normalize_add(FNODE f1,FNODE f2) 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); + return fnode_node_to_naryadd(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) { NODE n1,n2,r0,r,r1; @@ -2255,66 +2263,43 @@ FNODE fnode_normalize_mul(FNODE f1,FNODE f2) FNODE *m; int s; 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; + 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); - 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; + fnode_coef_body(f1,&c1,&b1); fnode_coef_body(f2,&c2,&b2); + mulnum(0,c1,c2,&c); if ( !c ) return mkfnode(1,I_FORMULA,0); - l1 = length(n1); - l2 = length(n2); - l = l1+l2; + n1 = (NODE)FA1(to_narymul(b1)); n2 = (NODE)FA1(to_narymul(b2)); + l1 = length(n1); l = l1+length(n2); 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)); - } + fnode_base_exp(m[i-1],&b1,&e1); fnode_base_exp(BDY(r),&b2,&e2); + if ( compfnode(b1,b2) ) break; + 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); + for ( j = i-1; j >= 0; j-- ) { + MKNODE(r1,m[j],r); r = r1; } + 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) @@ -2332,28 +2317,22 @@ FNODE fnode_normalize_pwr(FNODE f1,FNODE f2) return mkfnode(1,I_FORMULA,c); } else 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); e = fnode_normalize_mul(e1,f2); if ( fnode_is_one(e) ) return b1; else 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); - if ( fnode_is_integer(f2) ) { - pwrnum(0,(Num)c1,(Num)eval(f2),&c); - cc = mkfnode(1,I_FORMULA,c); - b = fnode_normalize_pwr(b1,f2); - if ( fnode_is_one(cc) ) - return b; - else { - 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); + pwrnum(0,(Num)c1,(Num)eval(f2),&c); + cc = mkfnode(1,I_FORMULA,c); + b = fnode_normalize_pwr(b1,f2); + if ( fnode_is_one(cc) ) + return b; + else + return fnode_node_to_narymul(mknode(2,cc,b)); } else return mkfnode(3,I_BOP,pwrfs,f1,f2); } @@ -2361,7 +2340,7 @@ FNODE fnode_normalize_pwr(FNODE f1,FNODE f2) /* f = b^e */ 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); } else { *bp = f; *ep = mkfnode(1,I_FORMULA,ONE); @@ -2373,11 +2352,10 @@ 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; + if ( IS_NARYADD(f) ) return f; + + NEWFNODE(r,2); r->id = I_NARYOP; + FA0(r) = addfs; MKNODE(n,f,0); FA1(r) = n; return r; } @@ -2386,76 +2364,55 @@ 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; + if ( IS_NARYMUL(f) ) return f; + + 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; + FNODE b1,cc,r; Num c1,c2; - NODE n,r0,r; + NODE n; if ( !c ) return mkfnode(I_FORMULA,0); - else if ( UNIQ(c) ) - return f; - 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); - if ( UNIQ(c2) ) - n = NEXT((NODE)FA1(f)); - else { - cc = mkfnode(1,I_FORMULA,c2); - MKNODE(n,cc,NEXT((NODE)FA1(f))); + else { + fnode_coef_body(f,&c1,&b1); + mulnum(0,c,c1,&c2); + if ( UNIQ(c2) ) return b1; + else { + cc = mkfnode(1,I_FORMULA,c2); + if ( fnode_is_number(b1) ) { + if ( !fnode_is_one(b1) ) + error("fnode_normalize_mul_coef : cannot happen"); + else + return cc; + } else + if ( IS_NARYMUL(b1) ) { + MKNODE(n,cc,FA1(b1)); + } else { + n = mknode(2,cc,b1); } - } else { - cc = mkfnode(1,I_FORMULA,c); - MKNODE(n,cc,(NODE)FA1(f)); + r = fnode_node_to_narymul(n); + return r; } - 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) { 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)); + } else if ( IS_NARYMUL(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); + *bp = fnode_node_to_narymul(NEXT((NODE)FA1(f))); } else { *cp = (Num)ONE; *bp = f; }