=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/strobj.c,v retrieving revision 1.72 retrieving revision 1.78 diff -u -p -r1.72 -r1.78 --- OpenXM_contrib2/asir2000/builtin/strobj.c 2005/10/14 06:00:03 1.72 +++ OpenXM_contrib2/asir2000/builtin/strobj.c 2005/10/17 00:38:11 1.78 @@ -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 1.71 2005/10/12 14:43:36 noro Exp $ + * $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.77 2005/10/15 07:40:59 noro Exp $ */ #include "ca.h" #include "parse.h" @@ -64,6 +64,10 @@ struct TeXSymbol { }; #define OPNAME(f) (((ARF)FA0(f))->name[0]) +#define IS_ZERO(f) (((f)->id==I_FORMULA) && FA0(f)==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; @@ -121,7 +125,7 @@ struct ftab str_tab[] = { {"quote_is_function",Pquote_is_function,1}, {"quote_is_dependent",Pquote_is_dependent,2}, - {"quote_normalize",Pquote_normalize,1}, + {"quote_normalize",Pquote_normalize,-2}, {"quote_to_nary",Pquote_to_nary,1}, {"quote_to_bin",Pquote_to_bin,2}, @@ -530,7 +534,6 @@ void Pwrite_to_tb(NODE arg,Q *rp) } FNODE partial_eval(FNODE), fnode_to_nary(FNODE), fnode_to_bin(FNODE,int); -FNODE fnode_normalize(FNODE); void Pquote_to_nary(NODE arg,QUOTE *rp) { @@ -1921,21 +1924,24 @@ void Pfunargs_to_quote(NODE arg,QUOTE *rp) MKQUOTE(*rp,f); } -FNODE fnode_apply(FNODE f,FNODE (*func)()); -FNODE fnode_normalize(FNODE f); -FNODE fnode_normalize_nary(FNODE f); +FNODE fnode_apply(FNODE f,FNODE (*func)(),int expand); +FNODE fnode_normalize(FNODE f,int expand); void Pquote_normalize(NODE arg,QUOTE *rp) { QUOTE q,r; FNODE f; + int expand,ac; + ac = argc(arg); + if ( !ac ) error("quote_normalize : invalid argument"); q = (QUOTE)ARG0(arg); + expand = ac==2 && ARG1(arg); if ( !q || OID(q) != O_QUOTE ) { *rp = q; return; } else { - f = fnode_normalize(BDY(q)); + f = fnode_normalize(BDY(q),expand); MKQUOTE(r,f); *rp = r; } @@ -2026,15 +2032,6 @@ int fnode_is_integer(FNODE f) } } -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; @@ -2094,18 +2091,22 @@ int fnode_is_dependent(FNODE f,V v) } } -FNODE fnode_normalize_add(FNODE a1,FNODE a2); -FNODE fnode_normalize_mul(FNODE a1,FNODE a2); +FNODE fnode_normalize_add(FNODE a1,FNODE a2,int expand); +FNODE fnode_normalize_mul(FNODE a1,FNODE a2,int expand); +FNODE fnode_normalize_pwr(FNODE a1,FNODE a2,int expand); +FNODE fnode_normalize_mul_coef(Num c,FNODE f,int expand); +FNODE fnode_expand_pwr(FNODE f,int n); FNODE to_narymul(FNODE f); FNODE to_naryadd(FNODE f); -FNODE fnode_normalize_mul_coef(Num c,FNODE f); +FNODE fnode_node_to_naryadd(NODE n); +FNODE fnode_node_to_narymul(NODE n); 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 fnode_normalize(FNODE f,int expand) { - FNODE a1,a2,mone,r; + FNODE a1,a2,mone,r,b2; NODE n; Q q; @@ -2113,26 +2114,29 @@ FNODE fnode_normalize(FNODE f) mone = mkfnode(1,I_FORMULA,q); switch ( f->id ) { case I_PAREN: - return fnode_normalize(FA0(f)); + return fnode_normalize(FA0(f),expand); case I_MINUS: - return fnode_normalize_mul_coef((Num)q,fnode_normalize(FA0(f))); + return fnode_normalize_mul_coef((Num)q, + fnode_normalize(FA0(f),expand),expand); case I_BOP: /* arf fnode fnode */ - a1 = fnode_normalize(FA1(f)); - a2 = fnode_normalize(FA2(f)); + a1 = fnode_normalize(FA1(f),expand); + a2 = fnode_normalize(FA2(f),expand); switch ( OPNAME(f) ) { case '+': - return fnode_normalize_add(a1,a2); + return fnode_normalize_add(a1,a2,expand); case '-': - a2 = fnode_normalize_mul_coef((Num)q,a2); - return fnode_normalize_add(a1,a2); + a2 = fnode_normalize_mul_coef((Num)q,a2,expand); + return fnode_normalize_add(a1,a2,expand); case '*': - return fnode_normalize_mul(a1,a2); + return fnode_normalize_mul(a1,a2,expand); case '/': - a2 = mkfnode(3,I_BOP,pwrfs,a2,mone); - return fnode_normalize_mul(FA1(f),a2); + a2 = fnode_normalize_pwr(a2,mone,expand); + return fnode_normalize_mul(a1,a2,expand); + case '^': + return fnode_normalize_pwr(a1,a2,expand); default: return mkfnode(3,I_BOP,FA0(f),a1,a2); } @@ -2141,19 +2145,19 @@ FNODE fnode_normalize(FNODE f) case I_NARYOP: switch ( OPNAME(f) ) { case '+': - n = BDY((NODE)FA1(f)); - r = fnode_normalize(BDY(n)); n = NEXT(n); + n = (NODE)FA1(f); + r = fnode_normalize(BDY(n),expand); n = NEXT(n); for ( ; n; n = NEXT(n) ) { - a1 = fnode_normalize(BDY(n)); - r = fnode_normalize_add(r,a1); + a1 = fnode_normalize(BDY(n),expand); + r = fnode_normalize_add(r,a1,expand); } return r; case '*': - n = BDY((NODE)FA1(f)); - r = fnode_normalize(BDY(n)); n = NEXT(n); + n = (NODE)FA1(f); + r = fnode_normalize(BDY(n),expand); n = NEXT(n); for ( ; n; n = NEXT(n) ) { - a1 = fnode_normalize(BDY(n)); - r = fnode_normalize_mul(r,a1); + a1 = fnode_normalize(BDY(n),expand); + r = fnode_normalize_mul(r,a1,expand); } return r; default: @@ -2161,11 +2165,11 @@ FNODE fnode_normalize(FNODE f) } default: - return fnode_apply(f,fnode_normalize); + return fnode_apply(f,fnode_normalize,expand); } } -FNODE fnode_apply(FNODE f,FNODE (*func)()) +FNODE fnode_apply(FNODE f,FNODE (*func)(),int expand) { fid_spec_p spec; FNODE r; @@ -2178,13 +2182,13 @@ FNODE fnode_apply(FNODE f,FNODE (*func)()) for ( i = 0; i < n; i++ ) { switch ( spec->type[i] ) { case A_fnode: - r->arg[i] = func(f->arg[i]); + r->arg[i] = func(f->arg[i],expand); 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)); + BDY(t) = (pointer)func((FNODE)BDY(s),expand); } if ( t0 ) NEXT(t) = 0; r->arg[i] = t0; @@ -2197,32 +2201,28 @@ FNODE fnode_apply(FNODE f,FNODE (*func)()) return r; } -FNODE fnode_normalize_add(FNODE f1,FNODE f2) +FNODE fnode_normalize_add(FNODE f1,FNODE f2,int expand) { 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); + if ( IS_ZERO(f1) ) return f2; + else if ( IS_ZERO(f2) ) return f1; + 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 ) { - NEXTNODE(r0,r); BDY(r) = b1; n1 = NEXT(n1); + 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) = b2; n2 = NEXT(n2); + NEXTNODE(r0,r); BDY(r) = BDY(n2); n2 = NEXT(n2); } else { addnum(0,c1,c2,&c); if ( c ) { - NEXTNODE(r0,r); BDY(r) = fnode_normalize_mul_coef(c,b1); + NEXTNODE(r0,r); BDY(r) = fnode_normalize_mul_coef(c,b1,expand); } n1 = NEXT(n1); n2 = NEXT(n2); } @@ -2236,87 +2236,148 @@ 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_normalize_mul(FNODE f1,FNODE f2) +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,int expand) +{ NODE n1,n2,r0,r,r1; - FNODE b1,b2,e1,e2,cc; + FNODE b1,b2,e1,e2,cc,t,t1; 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; + if ( IS_ZERO(f1) || IS_ZERO(f2) ) return mkfnode(1,I_FORMULA,0); + else if ( fnode_is_number(f1) ) + return fnode_normalize_mul_coef((Num)eval(f1),f2,expand); + else if ( fnode_is_number(f2) ) + return fnode_normalize_mul_coef((Num)eval(f2),f1,expand); - 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); + if ( expand && IS_NARYADD(f1) ) { + t = mkfnode(1,I_FORMULA,0); + for ( n1 = (NODE)FA1(f1); n1; n1 = NEXT(n1) ) { + t1 = fnode_normalize_mul(BDY(n1),f2,expand); + t = fnode_normalize_add(t,t1,expand); } - else if ( fnode_is_number(BDY(n2)) ) { - c = eval(BDY(n2)); n2 = NEXT(n2); - } else - c = (Num)ONE; + return t; + } + if ( expand && IS_NARYADD(f2) ) { + t = mkfnode(1,I_FORMULA,0); + for ( n2 = (NODE)FA1(f2); n2; n2 = NEXT(n2) ) { + t1 = fnode_normalize_mul(f1,BDY(n2),expand); + t = fnode_normalize_add(t,t1,expand); + } + return t; + } + + 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; - } + 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,int expand) +{ + FNODE b,b1,e1,e,cc,r; + Num c,c1; + NODE arg,n; + Q q; + + if ( IS_ZERO(f2) ) return mkfnode(1,I_FORMULA,ONE); + else if ( IS_ZERO(f1) ) return mkfnode(1,I_FORMULA,0); + else if ( fnode_is_one(f2) ) return f1; + else if ( fnode_is_number(f1) ) + if ( fnode_is_integer(f2) ) { + pwrnum(0,(Num)eval(f1),(Num)eval(f2),&c); + return mkfnode(1,I_FORMULA,c); + } else + return mkfnode(3,I_BOP,pwrfs,f1,f2); + else if ( IS_BINARYPWR(f1) ) { + b1 = FA1(f1); e1 = FA2(f1); + e = fnode_normalize_mul(e1,f2,expand); + if ( fnode_is_one(e) ) + return b1; + else + return mkfnode(3,I_BOP,FA0(f1),b1,e); + } else if ( IS_NARYMUL(f1) && fnode_is_integer(f2) ) { + fnode_coef_body(f1,&c1,&b1); + pwrnum(0,(Num)c1,(Num)eval(f2),&c); cc = mkfnode(1,I_FORMULA,c); - MKNODE(r1,cc,r); - r = r1; - return mkfnode(2,I_NARYOP,mulfs,r); + b = fnode_normalize_pwr(b1,f2,expand); + if ( fnode_is_one(cc) ) + return b; + else + return fnode_node_to_narymul(mknode(2,cc,b)); + } else if ( expand && fnode_is_nonnegative_integer(f2) ) { + q = (Q)eval(f2); + if ( PL(NM(q)) > 1 ) error("fnode_normalize_pwr : exponent too large"); + return fnode_expand_pwr(f1,QTOS(q)); + } else + return mkfnode(3,I_BOP,pwrfs,f1,f2); +} + +FNODE fnode_expand_pwr(FNODE f,int n) +{ + int n1; + FNODE f1,f2; + + if ( !n ) return mkfnode(1,I_FORMULA,ONE); + else if ( IS_ZERO(f) ) return mkfnode(1,I_FORMULA,0); + else if ( n == 1 ) return f; + else { + n1 = n/2; + f1 = fnode_expand_pwr(f,n1); + f2 = fnode_normalize_mul(f1,f1,1); + if ( n%2 ) f2 = fnode_normalize_mul(f2,f,1); + return 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); @@ -2328,11 +2389,10 @@ 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; } @@ -2341,66 +2401,59 @@ 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 fnode_normalize_mul_coef(Num c,FNODE f,int expand) { - FNODE cc; + FNODE b1,cc; Num c1,c2; - NODE n,r0,r; + NODE n,r,r0; 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)); + 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)); + return fnode_node_to_narymul(n); + } else if ( expand && IS_NARYADD(b1) ) { + for ( r0 = 0, n = (NODE)FA1(b1); n; n = NEXT(n) ) { + NEXTNODE(r0,r); + BDY(r) = fnode_normalize_mul_coef(c2,BDY(n),expand); + } + if ( r0 ) NEXT(r) = 0; + return fnode_node_to_naryadd(r0); + } else + return fnode_node_to_narymul(mknode(2,cc,b1)); } - 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)); + } 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; }