version 1.96, 2005/11/04 07:03:38 |
version 1.104, 2005/11/30 05:08:00 |
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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 1.95 2005/11/03 07:41:22 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.103 2005/11/30 04:51:46 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "parse.h" |
#include "parse.h" |
Line 98 void Pquote_normalize(); |
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Line 98 void Pquote_normalize(); |
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void Pnquote_comp(); |
void Pnquote_comp(); |
void Pnquote_match(); |
void Pnquote_match(); |
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void Pquote_to_nbp(); |
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void Pshuffle_mul(), Pharmonic_mul(); |
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void Pnbp_hm(), Pnbp_ht(), Pnbp_hc(), Pnbp_rest(); |
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void Pnbm_deg(); |
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void Pnbm_hp_rest(); |
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void Pnbm_hxky(), Pnbm_xky_rest(); |
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void Pnbm_hv(), Pnbm_rest(); |
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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_match(),Pget_quote_id(),Pquote_match_rewrite(); |
void Pquote_match(),Pget_quote_id(),Pquote_match_rewrite(); |
void Pquote_to_nary(),Pquote_to_bin(); |
void Pquote_to_nary(),Pquote_to_bin(); |
Line 139 struct ftab str_tab[] = { |
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Line 147 struct ftab str_tab[] = { |
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{"quote_normalize",Pquote_normalize,-2}, |
{"quote_normalize",Pquote_normalize,-2}, |
{"quote_match",Pquote_match,2}, |
{"quote_match",Pquote_match,2}, |
{"quote_match_rewrite",Pquote_match_rewrite,-4}, |
{"quote_match_rewrite",Pquote_match_rewrite,-4}, |
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{"nquote_comp",Pnquote_comp,2}, |
{"nquote_comp",Pnquote_comp,2}, |
{"nquote_match",Pnquote_match,2}, |
{"nquote_match",Pnquote_match,-3}, |
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{"quote_to_nbp",Pquote_to_nbp,1}, |
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{"shuffle_mul",Pshuffle_mul,2}, |
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{"harmonic_mul",Pharmonic_mul,2}, |
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{"nbp_hm", Pnbp_hm,1}, |
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{"nbp_ht", Pnbp_ht,1}, |
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{"nbp_hc", Pnbp_hc,1}, |
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{"nbp_rest", Pnbp_rest,1}, |
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{"nbm_deg", Pnbm_deg,1}, |
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{"nbm_hxky", Pnbm_hxky,1}, |
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{"nbm_xky_rest", Pnbm_xky_rest,1}, |
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{"nbm_hp_rest", Pnbm_hp_rest,1}, |
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{"nbm_hv", Pnbm_hv,1}, |
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{"nbm_rest", Pnbm_rest,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}, |
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Line 663 void Pnquote_match(NODE arg,Q *rp) |
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Line 686 void Pnquote_match(NODE arg,Q *rp) |
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QUOTE fq,pq; |
QUOTE fq,pq; |
FNODE f,p; |
FNODE f,p; |
int ret; |
int ret; |
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Q mode; |
NODE r; |
NODE r; |
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fq = (QUOTE)ARG0(arg); Pquote_normalize(mknode(2,fq,0),&fq); f = (FNODE)BDY(fq); |
mode = argc(arg)==3 ? (Q)ARG2(arg) : 0; |
pq = (QUOTE)ARG1(arg); Pquote_normalize(mknode(2,pq,0),&pq); p = (FNODE)BDY(pq); |
fq = (QUOTE)ARG0(arg); Pquote_normalize(mknode(2,fq,mode),&fq); f = (FNODE)BDY(fq); |
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pq = (QUOTE)ARG1(arg); Pquote_normalize(mknode(2,pq,mode),&pq); p = (FNODE)BDY(pq); |
ret = nfnode_match(f,p,&r); |
ret = nfnode_match(f,p,&r); |
if ( ret ) { |
if ( ret ) { |
fnode_do_assign(r); |
fnode_do_assign(r); |
Line 675 void Pnquote_match(NODE arg,Q *rp) |
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Line 700 void Pnquote_match(NODE arg,Q *rp) |
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*rp = 0; |
*rp = 0; |
} |
} |
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FNODE rewrite_fnode(FNODE,NODE); |
FNODE rewrite_fnode(FNODE,NODE); |
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extern Obj VOIDobj; |
extern Obj VOIDobj; |
Line 2034 void Pquote_normalize(NODE arg,QUOTE *rp) |
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Line 2060 void Pquote_normalize(NODE arg,QUOTE *rp) |
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ac = argc(arg); |
ac = argc(arg); |
if ( !ac ) error("quote_normalize : invalid argument"); |
if ( !ac ) error("quote_normalize : invalid argument"); |
q = (QUOTE)ARG0(arg); |
q = (QUOTE)ARG0(arg); |
expand = ac==2 && ARG1(arg); |
if ( ac == 2 ) |
if ( !q || OID(q) != O_QUOTE ) { |
expand = QTOS((Q)ARG1(arg)); |
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if ( !q || OID(q) != O_QUOTE ) |
*rp = q; |
*rp = q; |
return; |
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} else if ( q->normalized && (q->expanded || !expand) ) |
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*rp = q; |
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else { |
else { |
f = fnode_normalize(BDY(q),expand); |
f = fnode_normalize(BDY(q),expand); |
MKQUOTE(r,f); |
MKQUOTE(r,f); |
r->normalized = 1; |
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if ( expand ) r->expanded = 1; |
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*rp = r; |
*rp = r; |
} |
} |
} |
} |
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NBP fnode_to_nbp(FNODE f); |
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void Pquote_to_nbp(NODE arg,NBP *rp) |
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{ |
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QUOTE q; |
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FNODE f; |
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q = (QUOTE)ARG0(arg); f = (FNODE)BDY(q); |
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f = fnode_normalize(f,0); |
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*rp = fnode_to_nbp(f); |
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} |
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void Pshuffle_mul(NODE arg,NBP *rp) |
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{ |
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NBP p1,p2; |
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p1 = (NBP)ARG0(arg); |
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p2 = (NBP)ARG1(arg); |
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shuffle_mulnbp(CO,p1,p2,rp); |
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} |
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void Pharmonic_mul(NODE arg,NBP *rp) |
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{ |
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NBP p1,p2; |
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p1 = (NBP)ARG0(arg); |
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p2 = (NBP)ARG1(arg); |
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harmonic_mulnbp(CO,p1,p2,rp); |
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} |
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void Pnbp_hm(NODE arg, NBP *rp) |
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{ |
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NBP p; |
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NODE n; |
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NBM m; |
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p = (NBP)ARG0(arg); |
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if ( !p ) *rp = 0; |
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else { |
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m = (NBM)BDY(BDY(p)); |
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MKNODE(n,m,0); |
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MKNBP(*rp,n); |
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} |
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} |
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void Pnbp_ht(NODE arg, NBP *rp) |
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{ |
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NBP p; |
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NODE n; |
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NBM m,m1; |
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p = (NBP)ARG0(arg); |
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if ( !p ) *rp = 0; |
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else { |
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m = (NBM)BDY(BDY(p)); |
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NEWNBM(m1); |
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m1->d = m->d; m1->c = ONE; m1->b = m->b; |
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MKNODE(n,m1,0); |
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MKNBP(*rp,n); |
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} |
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} |
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void Pnbp_hc(NODE arg, Q *rp) |
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{ |
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NBP p; |
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NBM m; |
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p = (NBP)ARG0(arg); |
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if ( !p ) *rp = 0; |
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else { |
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m = (NBM)BDY(BDY(p)); |
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*rp = m->c; |
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} |
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} |
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void Pnbp_rest(NODE arg, NBP *rp) |
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{ |
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NBP p; |
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NODE n; |
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p = (NBP)ARG0(arg); |
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if ( !p ) *rp = 0; |
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else { |
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n = BDY(p); |
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if ( !NEXT(n) ) *rp = 0; |
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else |
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MKNBP(*rp,NEXT(n)); |
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} |
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} |
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void Pnbm_deg(NODE arg, Q *rp) |
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{ |
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NBP p; |
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NBM m; |
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p = (NBP)ARG0(arg); |
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if ( !p ) |
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STOQ(-1,*rp); |
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else { |
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m = (NBM)BDY(BDY(p)); |
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STOQ(m->d,*rp); |
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} |
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} |
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void Pnbm_hp_rest(NODE arg, LIST *rp) |
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{ |
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NBP p,h,r; |
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NBM m,m1; |
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NODE n; |
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int *b,*b1; |
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int d,d1,v,i,j,k; |
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p = (NBP)ARG0(arg); |
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if ( !p ) |
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MKLIST(*rp,0); |
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else { |
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m = (NBM)BDY(BDY(p)); |
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b = m->b; d = m->d; |
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if ( !d ) |
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MKLIST(*rp,0); |
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else { |
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v = NBM_GET(b,0); |
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for ( i = 1; i < d; i++ ) |
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if ( NBM_GET(b,i) != v ) break; |
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NEWNBM(m1); NEWNBMBDY(m1,i); |
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b1 = m1->b; m1->d = i; m1->c = ONE; |
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if ( v ) for ( j = 0; j < i; j++ ) NBM_SET(b1,j); |
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else for ( j = 0; j < i; j++ ) NBM_CLR(b1,j); |
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MKNODE(n,m1,0); MKNBP(h,n); |
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d1 = d-i; |
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NEWNBM(m1); NEWNBMBDY(m1,d1); |
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b1 = m1->b; m1->d = d1; m1->c = ONE; |
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for ( j = 0, k = i; j < d1; j++, k++ ) |
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if ( NBM_GET(b,k) ) NBM_SET(b1,j); |
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else NBM_CLR(b1,j); |
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MKNODE(n,m1,0); MKNBP(r,n); |
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n = mknode(2,h,r); |
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MKLIST(*rp,n); |
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} |
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} |
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} |
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void Pnbm_hxky(NODE arg, LIST *rp) |
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{ |
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NBP p; |
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p = (NBP)ARG0(arg); |
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if ( !p ) |
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*rp = 0; |
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else |
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separate_xky_nbm((NBM)BDY(BDY(p)),0,rp,0); |
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} |
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void Pnbm_xky_rest(NODE arg,NBP *rp) |
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{ |
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NBP p; |
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p = (NBP)ARG0(arg); |
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if ( !p ) |
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*rp = 0; |
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else |
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separate_xky_nbm((NBM)BDY(BDY(p)),0,0,rp); |
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} |
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void Pnbm_hv(NODE arg, NBP *rp) |
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{ |
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NBP p; |
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p = (NBP)ARG0(arg); |
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if ( !p ) |
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*rp = 0; |
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else |
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separate_nbm((NBM)BDY(BDY(p)),0,rp,0); |
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} |
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void Pnbm_rest(NODE arg, NBP *rp) |
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{ |
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NBP p; |
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p = (NBP)ARG0(arg); |
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if ( !p ) |
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*rp = 0; |
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else |
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separate_nbm((NBM)BDY(BDY(p)),0,0,rp); |
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} |
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NBP fnode_to_nbp(FNODE f) |
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{ |
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Q r; |
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int n,i; |
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NBM m; |
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V v; |
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NBP u,u1,u2; |
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NODE t,b; |
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if ( f->id == I_FORMULA ) { |
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r = eval(f); |
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NEWNBM(m); |
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if ( OID(r) == O_N ) { |
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m->d = 0; m->c = (Q)r; m->b = 0; |
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} else { |
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v = VR((P)r); |
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m->d = 1; m->c = ONE; NEWNBMBDY(m,1); |
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if ( !strcmp(NAME(v),"x") ) NBM_SET(m->b,0); |
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else NBM_CLR(m->b,0); |
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} |
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MKNODE(b,m,0); MKNBP(u,b); |
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return u; |
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} else if ( IS_NARYADD(f) ) { |
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t = (NODE)FA1(f); u = fnode_to_nbp((FNODE)BDY(t)); |
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for ( t = NEXT(t); t; t = NEXT(t) ) { |
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u1 = fnode_to_nbp((FNODE)BDY(t)); |
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addnbp(CO,u,u1,&u2); u = u2; |
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} |
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return u; |
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} else if ( IS_NARYMUL(f) ) { |
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t = (NODE)FA1(f); u = fnode_to_nbp((FNODE)BDY(t)); |
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for ( t = NEXT(t); t; t = NEXT(t) ) { |
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u1 = fnode_to_nbp((FNODE)BDY(t)); |
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mulnbp(CO,u,u1,&u2); u = u2; |
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} |
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return u; |
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} else if ( IS_BINARYPWR(f) ) { |
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u = fnode_to_nbp((FNODE)FA1(f)); |
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r = eval((FNODE)FA2(f)); |
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pwrnbp(CO,u,r,&u1); |
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return u1; |
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} |
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} |
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void Pnquote_comp(NODE arg,Q *rp) |
void Pnquote_comp(NODE arg,Q *rp) |
{ |
{ |
QUOTE q1,q2; |
QUOTE q1,q2; |
Line 2057 void Pnquote_comp(NODE arg,Q *rp) |
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Line 2310 void Pnquote_comp(NODE arg,Q *rp) |
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q1 = (QUOTE)ARG0(arg); f1 = (FNODE)BDY(q1); |
q1 = (QUOTE)ARG0(arg); f1 = (FNODE)BDY(q1); |
q2 = (QUOTE)ARG1(arg); f2 = (FNODE)BDY(q2); |
q2 = (QUOTE)ARG1(arg); f2 = (FNODE)BDY(q2); |
if ( !q1->normalized ) f1 = fnode_normalize(f1,0); |
f1 = fnode_normalize(f1,0); |
if ( !q2->normalized ) f2 = fnode_normalize(f2,0); |
f2 = fnode_normalize(f2,0); |
r = nfnode_comp(f1,f2); |
r = nfnode_comp(f1,f2); |
STOQ(r,*rp); |
STOQ(r,*rp); |
} |
} |
Line 2211 FNODE nfnode_add(FNODE a1,FNODE a2,int expand); |
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Line 2464 FNODE nfnode_add(FNODE a1,FNODE a2,int expand); |
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FNODE nfnode_mul(FNODE a1,FNODE a2,int expand); |
FNODE nfnode_mul(FNODE a1,FNODE a2,int expand); |
FNODE nfnode_pwr(FNODE a1,FNODE a2,int expand); |
FNODE nfnode_pwr(FNODE a1,FNODE a2,int expand); |
FNODE nfnode_mul_coef(Num c,FNODE f,int expand); |
FNODE nfnode_mul_coef(Num c,FNODE f,int expand); |
FNODE fnode_expand_pwr(FNODE f,int n); |
FNODE fnode_expand_pwr(FNODE f,int n,int expand); |
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_naryadd(NODE n); |
Line 2226 FNODE fnode_normalize(FNODE f,int expand) |
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Line 2479 FNODE fnode_normalize(FNODE f,int expand) |
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NODE n; |
NODE n; |
Q q; |
Q q; |
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if ( f->normalized && (f->expanded || !expand) ) return f; |
if ( f->normalized && (f->expanded == expand) ) return f; |
STOQ(-1,q); |
STOQ(-1,q); |
mone = mkfnode(1,I_FORMULA,q); |
mone = mkfnode(1,I_FORMULA,q); |
switch ( f->id ) { |
switch ( f->id ) { |
Line 2424 FNODE nfnode_mul(FNODE f1,FNODE f2,int expand) |
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Line 2677 FNODE nfnode_mul(FNODE f1,FNODE f2,int expand) |
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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 || (expand == 2) ) |
m[i++] = BDY(r); |
m[i++] = BDY(r); |
else { |
else { |
fnode_base_exp(m[i-1],&b1,&e1); fnode_base_exp(BDY(r),&b2,&e2); |
fnode_base_exp(m[i-1],&b1,&e1); fnode_base_exp(BDY(r),&b2,&e2); |
Line 2480 FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand) |
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Line 2733 FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand) |
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ee = QTOS((Q)nf2); |
ee = QTOS((Q)nf2); |
cc = mkfnode(1,I_FORMULA,c); |
cc = mkfnode(1,I_FORMULA,c); |
if ( fnode_is_nonnegative_integer(f2) ) |
if ( fnode_is_nonnegative_integer(f2) ) |
b = fnode_expand_pwr(b1,ee); |
b = fnode_expand_pwr(b1,ee,expand); |
else { |
else { |
STOQ(-1,q); |
STOQ(-1,q); |
mone = mkfnode(1,I_FORMULA,q); |
mone = mkfnode(1,I_FORMULA,q); |
Line 2490 FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand) |
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Line 2743 FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand) |
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MKNODE(t1,inv,t0); t0 = t1; |
MKNODE(t1,inv,t0); t0 = t1; |
} |
} |
b1 = fnode_node_to_narymul(t0); |
b1 = fnode_node_to_narymul(t0); |
b = fnode_expand_pwr(b1,-ee); |
b = fnode_expand_pwr(b1,-ee,expand); |
} |
} |
if ( fnode_is_one(cc) ) |
if ( fnode_is_one(cc) ) |
return b; |
return b; |
Line 2500 FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand) |
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Line 2753 FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand) |
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&& fnode_is_nonnegative_integer(f2) ) { |
&& fnode_is_nonnegative_integer(f2) ) { |
q = (Q)eval(f2); |
q = (Q)eval(f2); |
if ( PL(NM(q)) > 1 ) error("nfnode_pwr : exponent too large"); |
if ( PL(NM(q)) > 1 ) error("nfnode_pwr : exponent too large"); |
return fnode_expand_pwr(f1,QTOS(q)); |
return fnode_expand_pwr(f1,QTOS(q),expand); |
} else |
} else |
return mkfnode(3,I_BOP,pwrfs,f1,f2); |
return mkfnode(3,I_BOP,pwrfs,f1,f2); |
} |
} |
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FNODE fnode_expand_pwr(FNODE f,int n) |
FNODE fnode_expand_pwr(FNODE f,int n,int expand) |
{ |
{ |
int n1; |
int n1,i; |
FNODE f1,f2; |
FNODE f1,f2,fn; |
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Q q; |
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if ( !n ) return mkfnode(1,I_FORMULA,ONE); |
if ( !n ) return mkfnode(1,I_FORMULA,ONE); |
else if ( IS_ZERO(f) ) return mkfnode(1,I_FORMULA,0); |
else if ( IS_ZERO(f) ) return mkfnode(1,I_FORMULA,0); |
else if ( n == 1 ) return f; |
else if ( n == 1 ) return f; |
else { |
else { |
n1 = n/2; |
switch ( expand ) { |
f1 = fnode_expand_pwr(f,n1); |
case 1: |
f2 = nfnode_mul(f1,f1,1); |
n1 = n/2; |
if ( n%2 ) f2 = nfnode_mul(f2,f,1); |
f1 = fnode_expand_pwr(f,n1,expand); |
return f2; |
f2 = nfnode_mul(f1,f1,expand); |
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if ( n%2 ) f2 = nfnode_mul(f2,f,1); |
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return f2; |
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case 2: |
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for ( i = 1, f1 = f; i < n; i++ ) |
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f1 = nfnode_mul(f1,f,expand); |
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return f1; |
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case 0: default: |
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STOQ(n,q); |
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fn = mkfnode(1,I_FORMULA,q); |
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return mkfnode(3,I_BOP,pwrfs,f,fn); |
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} |
} |
} |
} |
} |
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Line 2798 int nfnode_match(FNODE f,FNODE pat,NODE *rp) |
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Line 3063 int nfnode_match(FNODE f,FNODE pat,NODE *rp) |
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FUNC ff,pf; |
FUNC ff,pf; |
int r; |
int r; |
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if ( !pat ) |
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if ( !f ) { |
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*rp = 0; |
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return 1; |
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} else |
|
return 0; |
|
else if ( !f ) |
|
return 0; |
switch ( pat->id ) { |
switch ( pat->id ) { |
case I_PVAR: |
case I_PVAR: |
/* [[pat,f]] */ |
/* [[pat,f]] */ |
*rp = mknode(1,mknode(2,(int)FA0(pat),f),0); |
*rp = mknode(1,mknode(2,(int)FA0(pat),f)); |
return 1; |
return 1; |
|
|
case I_FORMULA: |
case I_FORMULA: |
Line 2901 FNODE fnode_left_narymul(FNODE p,int i) |
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Line 3174 FNODE fnode_left_narymul(FNODE p,int i) |
|
a = (NODE)FA1(p); |
a = (NODE)FA1(p); |
l = length(a); |
l = length(a); |
if ( i < 0 || i >= l ) error("fnode_left_narymul : invalid index"); |
if ( i < 0 || i >= l ) error("fnode_left_narymul : invalid index"); |
if ( i == 0 ) return mkfnode(1,I_FORMULA,ONE); |
if ( i == 0 ) return 0; |
else if ( i == 1 ) return (FNODE)BDY(a); |
else if ( i == 1 ) return (FNODE)BDY(a); |
else { |
else { |
for ( r0 = 0, k = 0, t = a; k < i; k++, t = NEXT(t) ) { |
for ( r0 = 0, k = 0, t = a; k < i; k++, t = NEXT(t) ) { |
Line 2922 FNODE fnode_right_narymul(FNODE p,int i) |
|
Line 3195 FNODE fnode_right_narymul(FNODE p,int i) |
|
a = (NODE)FA1(p); |
a = (NODE)FA1(p); |
l = length(a); |
l = length(a); |
if ( i < 0 || i >= l ) error("fnode_right_narymul : invalid index"); |
if ( i < 0 || i >= l ) error("fnode_right_narymul : invalid index"); |
if ( i == l-1 ) return mkfnode(1,I_FORMULA,ONE); |
if ( i == l-1 ) return 0; |
else { |
else { |
for ( k = 0, t = a; k <= i; k++, t = NEXT(t) ); |
for ( k = 0, t = a; k <= i; k++, t = NEXT(t) ); |
return fnode_node_to_narymul(t); |
return fnode_node_to_narymul(t); |
Line 3019 int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp) |
|
Line 3292 int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp) |
|
pright = fnode_right_narymul(p,pi); |
pright = fnode_right_narymul(p,pi); |
/* XXX : incomplete */ |
/* XXX : incomplete */ |
for ( s = fa, fi = 0; s; s = NEXT(s), fi++ ) { |
for ( s = fa, fi = 0; s; s = NEXT(s), fi++ ) { |
|
if ( fi < pi ) continue; |
if ( nfnode_match(BDY(s),pivot,&m) ) { |
if ( nfnode_match(BDY(s),pivot,&m) ) { |
fleft = fnode_left_narymul(f,fi); |
fleft = fnode_left_narymul(f,fi); |
pleft1 = rewrite_fnode(pleft,m); |
pleft1 = rewrite_fnode(pleft,m); |