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1.6 noro 1: /*
2: * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
3: * All rights reserved.
4: *
5: * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
6: * non-exclusive and royalty-free license to use, copy, modify and
7: * redistribute, solely for non-commercial and non-profit purposes, the
8: * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
9: * conditions of this Agreement. For the avoidance of doubt, you acquire
10: * only a limited right to use the SOFTWARE hereunder, and FLL or any
11: * third party developer retains all rights, including but not limited to
12: * copyrights, in and to the SOFTWARE.
13: *
14: * (1) FLL does not grant you a license in any way for commercial
15: * purposes. You may use the SOFTWARE only for non-commercial and
16: * non-profit purposes only, such as academic, research and internal
17: * business use.
18: * (2) The SOFTWARE is protected by the Copyright Law of Japan and
19: * international copyright treaties. If you make copies of the SOFTWARE,
20: * with or without modification, as permitted hereunder, you shall affix
21: * to all such copies of the SOFTWARE the above copyright notice.
22: * (3) An explicit reference to this SOFTWARE and its copyright owner
23: * shall be made on your publication or presentation in any form of the
24: * results obtained by use of the SOFTWARE.
25: * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
1.7 noro 26: * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
1.6 noro 27: * for such modification or the source code of the modified part of the
28: * SOFTWARE.
29: *
30: * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
31: * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
32: * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
33: * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
34: * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
35: * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
36: * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
37: * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
38: * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
39: * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
40: * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
41: * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
42: * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
43: * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
44: * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
45: * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
46: * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
47: *
1.120 ! noro 48: * $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.119 2008/09/04 01:42:25 noro Exp $
1.6 noro 49: */
1.1 noro 50: #include "ca.h"
51: #include "parse.h"
52: #include "ctype.h"
1.10 ohara 53: #if defined(PARI)
1.1 noro 54: #include "genpari.h"
1.11 saito 55: # if !(PARI_VERSION_CODE > 131588)
1.1 noro 56: extern jmp_buf environnement;
1.11 saito 57: # endif
1.1 noro 58: #endif
1.5 noro 59: #include <string.h>
60:
1.89 noro 61: #if defined(__GNUC__)
62: #define INLINE inline
63: #elif defined(VISUAL)
64: #define INLINE __inline
65: #else
66: #define INLINE
67: #endif
68:
1.18 noro 69: struct TeXSymbol {
70: char *text;
71: char *symbol;
72: };
73:
1.71 noro 74: #define OPNAME(f) (((ARF)FA0(f))->name[0])
1.77 noro 75: #define IS_ZERO(f) (((f)->id==I_FORMULA) && FA0(f)==0 )
1.75 noro 76: #define IS_BINARYPWR(f) (((f)->id==I_BOP) &&(OPNAME(f)=='^'))
77: #define IS_NARYADD(f) (((f)->id==I_NARYOP) &&(OPNAME(f)=='+'))
78: #define IS_NARYMUL(f) (((f)->id==I_NARYOP) &&(OPNAME(f)=='*'))
1.111 noro 79: #define IS_MUL(f) (((f)->id==I_NARYOP||(f)->id==I_BOP) &&(OPNAME(f)=='*'))
1.71 noro 80:
1.1 noro 81: extern char *parse_strp;
82:
1.50 ohara 83: void Psprintf();
1.1 noro 84: void Prtostr(), Pstrtov(), Peval_str();
1.3 noro 85: void Pstrtoascii(), Pasciitostr();
1.5 noro 86: void Pstr_len(), Pstr_chr(), Psub_str();
1.14 noro 87: void Pwrite_to_tb();
88: void Ptb_to_string();
89: void Pclear_tb();
90: void Pstring_to_tb();
91: void Pquotetotex_tb();
92: void Pquotetotex();
1.24 noro 93: void Pquotetotex_env();
1.47 noro 94: void Pflatten_quote();
1.69 noro 95:
1.108 noro 96: void Pqt_is_integer(),Pqt_is_rational(),Pqt_is_number(),Pqt_is_coef();
97: void Pqt_is_dependent(),Pqt_is_function(),Pqt_is_var();
1.109 noro 98: void Pqt_set_ord(),Pqt_set_coef(),Pqt_set_weight();
1.105 noro 99: void Pqt_normalize();
1.111 noro 100: void Pnqt_comp(),Pnqt_weight();
1.105 noro 101: void Pnqt_match();
1.106 noro 102: void Pnqt_match_rewrite();
1.69 noro 103:
1.105 noro 104: void Pqt_to_nbp();
1.101 noro 105: void Pshuffle_mul(), Pharmonic_mul();
1.102 noro 106: void Pnbp_hm(), Pnbp_ht(), Pnbp_hc(), Pnbp_rest();
1.115 noro 107: void Pnbp_tm(), Pnbp_tt(), Pnbp_tc(), Pnbp_trest();
1.118 noro 108: void Pnbm_deg(), Pnbm_index();
1.102 noro 109: void Pnbm_hp_rest();
110: void Pnbm_hxky(), Pnbm_xky_rest();
1.117 noro 111: void Pnbm_hv(), Pnbm_tv(), Pnbm_rest(),Pnbm_trest();
1.98 noro 112:
1.52 noro 113: void Pquote_to_funargs(),Pfunargs_to_quote(),Pget_function_name();
1.107 noro 114: void Pqt_match(),Pget_quote_id();
1.105 noro 115: void Pqt_to_nary(),Pqt_to_bin();
1.88 noro 116: void fnode_do_assign(NODE arg);
1.58 ohara 117: void do_assign(NODE arg);
1.14 noro 118: void fnodetotex_tb(FNODE f,TB tb);
119: char *symbol_name(char *name);
1.28 noro 120: char *conv_rule(char *name);
1.38 noro 121: char *conv_subs(char *name);
1.28 noro 122: char *call_convfunc(char *name);
1.14 noro 123: void tb_to_string(TB tb,STRING *rp);
124: void fnodenodetotex_tb(NODE n,TB tb);
125: void fargstotex_tb(char *opname,FNODE f,TB tb);
1.35 noro 126: int top_is_minus(FNODE f);
1.105 noro 127: int qt_match(Obj f,Obj pat,NODE *rp);
1.106 noro 128: FNODE partial_eval(FNODE), fnode_to_nary(FNODE), fnode_to_bin(FNODE,int);
129: FNODE nfnode_add(FNODE a1,FNODE a2,int expand);
130: FNODE nfnode_mul(FNODE a1,FNODE a2,int expand);
131: FNODE nfnode_pwr(FNODE a1,FNODE a2,int expand);
1.108 noro 132: FNODE nfnode_mul_coef(Obj c,FNODE f,int expand);
1.106 noro 133: FNODE fnode_expand_pwr(FNODE f,int n,int expand);
134: FNODE to_narymul(FNODE f);
135: FNODE to_naryadd(FNODE f);
136: FNODE fnode_node_to_nary(ARF op,NODE n);
137: void fnode_base_exp(FNODE f,FNODE *bp,FNODE *ep);
1.108 noro 138: void fnode_coef_body(FNODE f,Obj *cp,FNODE *bp);
1.106 noro 139: FNODE nfnode_match_rewrite(FNODE f,FNODE p,FNODE c,FNODE a,int mode);
140: FNODE fnode_apply(FNODE f,FNODE (*func)(),int expand);
141: FNODE fnode_normalize(FNODE f,int expand);
1.107 noro 142: FNODE rewrite_fnode(FNODE f,NODE arg,int qarg);
1.1 noro 143:
144: struct ftab str_tab[] = {
1.50 ohara 145: {"sprintf",Psprintf,-99999999},
1.1 noro 146: {"rtostr",Prtostr,1},
147: {"strtov",Pstrtov,1},
148: {"eval_str",Peval_str,1},
1.3 noro 149: {"strtoascii",Pstrtoascii,1},
150: {"asciitostr",Pasciitostr,1},
1.5 noro 151: {"str_len",Pstr_len,1},
152: {"str_chr",Pstr_chr,3},
153: {"sub_str",Psub_str,3},
1.14 noro 154: {"write_to_tb",Pwrite_to_tb,2},
155: {"clear_tb",Pclear_tb,1},
156: {"tb_to_string",Ptb_to_string,1},
157: {"string_to_tb",Pstring_to_tb,1},
1.63 noro 158: {"get_quote_id",Pget_quote_id,1},
1.69 noro 159:
1.108 noro 160: {"qt_is_var",Pqt_is_var,1},
161: {"qt_is_coef",Pqt_is_coef,1},
1.105 noro 162: {"qt_is_number",Pqt_is_number,1},
163: {"qt_is_rational",Pqt_is_rational,1},
164: {"qt_is_integer",Pqt_is_integer,1},
165: {"qt_is_function",Pqt_is_function,1},
166: {"qt_is_dependent",Pqt_is_dependent,2},
167:
1.108 noro 168: {"qt_set_coef",Pqt_set_coef,-1},
1.105 noro 169: {"qt_set_ord",Pqt_set_ord,-1},
1.109 noro 170: {"qt_set_weight",Pqt_set_weight,-1},
1.105 noro 171: {"qt_normalize",Pqt_normalize,-2},
172: {"qt_match",Pqt_match,2},
1.106 noro 173: {"nqt_match_rewrite",Pnqt_match_rewrite,3},
1.105 noro 174:
1.111 noro 175: {"nqt_weight",Pnqt_weight,1},
1.105 noro 176: {"nqt_comp",Pnqt_comp,2},
177: {"nqt_match",Pnqt_match,-3},
178: {"qt_to_nbp",Pqt_to_nbp,1},
1.101 noro 179: {"shuffle_mul",Pshuffle_mul,2},
180: {"harmonic_mul",Pharmonic_mul,2},
1.70 noro 181:
1.100 noro 182: {"nbp_hm", Pnbp_hm,1},
183: {"nbp_ht", Pnbp_ht,1},
184: {"nbp_hc", Pnbp_hc,1},
185: {"nbp_rest", Pnbp_rest,1},
1.115 noro 186: {"nbp_tm", Pnbp_tm,1},
187: {"nbp_tt", Pnbp_tt,1},
188: {"nbp_tc", Pnbp_tc,1},
189: {"nbp_trest", Pnbp_trest,1},
1.102 noro 190: {"nbm_deg", Pnbm_deg,1},
1.118 noro 191: {"nbm_index", Pnbm_index,1},
1.102 noro 192: {"nbm_hxky", Pnbm_hxky,1},
193: {"nbm_xky_rest", Pnbm_xky_rest,1},
194: {"nbm_hp_rest", Pnbm_hp_rest,1},
195: {"nbm_hv", Pnbm_hv,1},
1.116 noro 196: {"nbm_tv", Pnbm_tv,1},
1.100 noro 197: {"nbm_rest", Pnbm_rest,1},
1.117 noro 198: {"nbm_trest", Pnbm_trest,1},
1.100 noro 199:
1.105 noro 200: {"qt_to_nary",Pqt_to_nary,1},
201: {"qt_to_bin",Pqt_to_bin,2},
1.95 noro 202:
1.60 noro 203: {"quotetotex_tb",Pquotetotex_tb,2},
204: {"quotetotex",Pquotetotex,1},
205: {"quotetotex_env",Pquotetotex_env,-99999999},
1.65 noro 206: {"flatten_quote",Pflatten_quote,-2},
1.60 noro 207: {"quote_to_funargs",Pquote_to_funargs,1},
1.48 noro 208: {"funargs_to_quote",Pfunargs_to_quote,1},
1.52 noro 209: {"get_function_name",Pget_function_name,1},
1.1 noro 210: {0,0,0},
211: };
1.13 noro 212:
1.14 noro 213: void write_tb(char *s,TB tb)
214: {
215: if ( tb->next == tb->size ) {
216: tb->size *= 2;
217: tb->body = (char **)REALLOC(tb->body,tb->size*sizeof(char *));
218: }
219: tb->body[tb->next] = s;
220: tb->next++;
221: }
1.13 noro 222:
1.18 noro 223: int register_symbol_table(Obj arg);
224: int register_conv_rule(Obj arg);
1.38 noro 225: int register_conv_func(Obj arg);
1.23 noro 226: int register_dp_vars(Obj arg);
1.46 noro 227: int register_dp_vars_origin(Obj arg);
228: int register_dp_dvars_origin(Obj arg);
229: int register_dp_dvars_prefix(Obj arg);
1.25 noro 230: int register_dp_vars_prefix(Obj arg);
1.31 noro 231: int register_dp_vars_hweyl(Obj arg);
1.27 noro 232: int register_show_lt(Obj arg);
1.40 noro 233: char *objtostr(Obj obj);
1.18 noro 234: static struct TeXSymbol *user_texsymbol;
1.23 noro 235: static char **dp_vars;
1.25 noro 236: static int dp_vars_len;
237: static char *dp_vars_prefix;
1.46 noro 238: static char *dp_dvars_prefix;
239: static int dp_vars_origin;
240: static int dp_dvars_origin;
1.27 noro 241: static int show_lt;
1.26 noro 242: static FUNC convfunc;
1.27 noro 243: static int is_lt;
1.28 noro 244: static int conv_flag;
1.31 noro 245: static int dp_vars_hweyl;
1.28 noro 246:
1.38 noro 247: #define CONV_TABLE (1U<<0)
248: #define CONV_SUBS (1U<<1)
249: #define CONV_DMODE (1U<<2)
1.18 noro 250:
251: static struct {
252: char *name;
253: Obj value;
254: int (*reg)();
255: } qtot_env[] = {
256: {"symbol_table",0,register_symbol_table},
257: {"conv_rule",0,register_conv_rule},
1.38 noro 258: {"conv_func",0,register_conv_func},
1.23 noro 259: {"dp_vars",0,register_dp_vars},
1.25 noro 260: {"dp_vars_prefix",0,register_dp_vars_prefix},
1.46 noro 261: {"dp_dvars_prefix",0,register_dp_dvars_prefix},
262: {"dp_vars_origin",0,register_dp_vars_origin},
263: {"dp_dvars_origin",0,register_dp_dvars_origin},
1.31 noro 264: {"dp_vars_hweyl",0,register_dp_vars_hweyl},
1.27 noro 265: {"show_lt",0,register_show_lt},
1.18 noro 266: {0,0,0},
267: };
268:
1.20 noro 269: #define PARTIAL "\\partial"
1.28 noro 270:
271: char *conv_rule(char *name)
272: {
273: char *body,*r;
1.41 noro 274: int len;
1.28 noro 275:
1.38 noro 276: if ( convfunc )
277: name = call_convfunc(name);
1.41 noro 278: if ( conv_flag & CONV_TABLE ) {
279: r = symbol_name(name);
280: if ( r ) return r;
281: }
282: if ( (conv_flag & CONV_DMODE) && *name == 'd' ) {
283: body = conv_rule(name+1);
284: r = MALLOC_ATOMIC((strlen(PARTIAL)+strlen(body)+5)*sizeof(char));
285: if ( !body || !(len=strlen(body)) )
286: strcpy(r,PARTIAL);
287: else if ( len == 1 )
288: sprintf(r,"%s_%s",PARTIAL,body);
289: else
290: sprintf(r,"%s_{%s}",PARTIAL,body);
291: return r;
292: } else
293: return conv_subs(name);
1.28 noro 294: }
295:
1.40 noro 296: int _is_delimiter(char c)
297: {
298: if ( (c == ' ' || c == '_' || c == ',') ) return 1;
299: else return 0;
300: }
301:
302: int _is_alpha(char c)
303: {
304: if ( isdigit(c) || c == '{' || _is_delimiter(c) ) return 0;
305: else return 1;
306: }
307:
1.38 noro 308: char *conv_subs(char *name)
1.19 noro 309: {
1.29 noro 310: int i,j,k,len,clen,slen,start,level;
1.41 noro 311: char *buf,*head,*r,*h,*brace,*buf_conv;
1.28 noro 312: char **subs;
313:
1.41 noro 314: if ( !name || !(len=strlen(name)) ) return "";
315: if ( !(conv_flag&CONV_SUBS) ) return name;
1.28 noro 316: subs = (char **)ALLOCA(len*sizeof(char* ));
1.32 noro 317: for ( i = 0, j = 0, start = i; ; j++ ) {
1.40 noro 318: while ( (i < len) && _is_delimiter(name[i]) ) i++;
1.32 noro 319: start = i;
1.28 noro 320: if ( i == len ) break;
1.29 noro 321: if ( name[i] == '{' ) {
322: for ( level = 1, i++; i < len && level; i++ ) {
323: if ( name[i] == '{' ) level++;
324: else if ( name[i] == '}' ) level--;
325: }
1.32 noro 326: slen = i-start;
1.37 noro 327: if ( slen >= 3 ) {
328: brace = (char *)ALLOCA((slen+1)*sizeof(char));
329: strncpy(brace,name+start+1,slen-2);
330: brace[slen-2] = 0;
1.38 noro 331: buf = conv_subs(brace);
1.37 noro 332: subs[j] = (char *)ALLOCA((strlen(buf)+3)*sizeof(char));
1.38 noro 333: if ( strlen(buf) == 1 )
334: strcpy(subs[j],buf);
335: else
336: sprintf(subs[j],"{%s}",buf);
1.37 noro 337: } else
338: subs[j] = "{}";
1.32 noro 339: } else {
340: if ( isdigit(name[i]) )
341: while ( i < len && isdigit(name[i]) ) i++;
342: else
1.40 noro 343: while ( i < len && _is_alpha(name[i]) ) i++;
1.32 noro 344: slen = i-start;
345: buf = (char *)ALLOCA((slen+1)*sizeof(char));
346: strncpy(buf,name+start,slen); buf[slen] = 0;
1.41 noro 347: buf_conv = symbol_name(buf);
348: subs[j] = buf_conv?buf_conv:buf;
1.32 noro 349: }
1.28 noro 350: }
1.32 noro 351: for ( k = 0, clen = 0; k < j; k++ ) clen += strlen(subs[k]);
352: /* {subs(0)}_{{subs(1)},...,{subs(j-1)}} => {}:j+1 _:1 ,:j-2 */
353: h = r = MALLOC_ATOMIC((clen+(j+1)*2+1+(j-2)+1)*sizeof(char));
354: if ( j == 1 )
355: sprintf(h,"{%s}",subs[0]);
1.28 noro 356: else {
1.38 noro 357: sprintf(h,"{%s}_{%s",subs[0],subs[1]);
1.28 noro 358: h += strlen(h);
1.32 noro 359: for ( k = 2; k < j; k++ ) {
1.38 noro 360: sprintf(h,",%s",subs[k]);
1.28 noro 361: h += strlen(h);
1.19 noro 362: }
1.28 noro 363: strcpy(h,"}");
1.20 noro 364: }
365: return r;
1.19 noro 366: }
367:
1.26 noro 368: char *call_convfunc(char *name)
369: {
370: STRING str,r;
371: NODE arg;
372:
373: MKSTR(str,name);
374: arg = mknode(1,str);
375: r = (STRING)bevalf(convfunc,arg);
376: if ( !r || OID(r) != O_STR )
377: error("call_convfunc : invalid result");
378: return BDY(r);
379: }
380:
1.18 noro 381: int register_symbol_table(Obj arg)
382: {
383: NODE n,t;
384: Obj b;
385: STRING a0,a1;
386: struct TeXSymbol *uts;
387: int i,len;
388:
389: /* check */
390: if ( !arg ) {
391: user_texsymbol = 0;
392: return 1;
393: }
394: if ( OID(arg) != O_LIST ) return 0;
395:
396: n = BDY((LIST)arg);
397: len = length(n);
398: uts = (struct TeXSymbol *)MALLOC((len+1)*sizeof(struct TeXSymbol));
399: for ( i = 0; n; n = NEXT(n), i++ ) {
400: b = (Obj)BDY(n);
401: if ( !b || OID(b) != O_LIST ) return 0;
402: t = BDY((LIST)b);
403: if ( !t || !NEXT(t) ) return 0;
404: a0 = (STRING)BDY(t);
405: a1 = (STRING)BDY(NEXT(t));
1.23 noro 406: if ( !a0 ) return 0;
407: if ( OID(a0) == O_STR )
408: uts[i].text = BDY(a0);
409: else if ( OID(a0) == O_P )
410: uts[i].text = NAME(VR((P)a0));
411: else
412: return 0;
413: if ( !a1 ) return 0;
414: if ( OID(a1) == O_STR )
415: uts[i].symbol = BDY(a1);
416: else if ( OID(a1) == O_P )
417: uts[i].symbol = NAME(VR((P)a1));
418: else
419: return 0;
1.18 noro 420: }
421: uts[i].text = 0;
422: uts[i].symbol = 0;
423: user_texsymbol = uts;
424: return 1;
425: }
426:
1.46 noro 427: int register_dp_vars_origin(Obj arg)
428: {
429: if ( INT(arg) ) {
430: dp_vars_origin = QTOS((Q)arg);
431: return 1;
432: } else return 0;
433: }
434:
435: int register_dp_dvars_origin(Obj arg)
436: {
437: if ( INT(arg) ) {
438: dp_dvars_origin = QTOS((Q)arg);
439: return 1;
440: } else return 0;
441: }
442:
1.31 noro 443: int register_dp_vars_hweyl(Obj arg)
444: {
445: if ( INT(arg) ) {
446: dp_vars_hweyl = QTOS((Q)arg);
447: return 1;
448: } else return 0;
449: }
450:
1.27 noro 451: int register_show_lt(Obj arg)
452: {
453: if ( INT(arg) ) {
454: show_lt = QTOS((Q)arg);
455: return 1;
456: } else return 0;
457: }
1.26 noro 458:
1.18 noro 459: int register_conv_rule(Obj arg)
460: {
1.19 noro 461: if ( INT(arg) ) {
1.28 noro 462: conv_flag = QTOS((Q)arg);
463: convfunc = 0;
464: return 1;
1.38 noro 465: } else return 0;
466: }
467:
468: int register_conv_func(Obj arg)
469: {
1.43 noro 470: if ( !arg ) {
471: convfunc = 0;
472: return 1;
1.119 noro 473: } else if ( OID(arg) == O_P && (long)(VR((P)arg))->attr == V_SR ) {
1.26 noro 474: convfunc = (FUNC)(VR((P)arg)->priv);
475: /* f must be a function which takes single argument */
476: return 1;
1.19 noro 477: } else return 0;
1.18 noro 478: }
479:
1.23 noro 480: int register_dp_vars(Obj arg)
481: {
482: int l,i;
483: char **r;
484: NODE n;
485: STRING a;
486:
487: if ( !arg ) {
488: dp_vars = 0;
489: dp_vars_len = 0;
1.25 noro 490: return 1;
1.23 noro 491: } else if ( OID(arg) != O_LIST )
492: return 0;
493: else {
494: n = BDY((LIST)arg);
495: l = length(n);
496: r = (char **)MALLOC_ATOMIC(l*sizeof(char *));
497: for ( i = 0; i < l; i++, n = NEXT(n) ) {
498: a = (STRING)BDY(n);
499: if ( !a ) return 0;
500: if ( OID(a) == O_STR )
501: r[i] = BDY(a);
502: else if ( OID(a) == O_P )
503: r[i] = NAME(VR((P)a));
504: else
505: return 0;
506: }
507: dp_vars = r;
508: dp_vars_len = l;
509: return 1;
510: }
511: }
512:
1.25 noro 513: int register_dp_vars_prefix(Obj arg)
514: {
515: if ( !arg ) {
516: dp_vars_prefix = 0;
517: return 1;
518: } else if ( OID(arg) == O_STR ) {
519: dp_vars_prefix = BDY((STRING)arg);
520: return 1;
521: } else if ( OID(arg) == O_P ) {
522: dp_vars_prefix = NAME(VR((P)arg));
523: return 1;
524: } else return 0;
525: }
526:
1.46 noro 527: int register_dp_dvars_prefix(Obj arg)
528: {
529: if ( !arg ) {
530: dp_dvars_prefix = 0;
531: return 1;
532: } else if ( OID(arg) == O_STR ) {
533: dp_dvars_prefix = BDY((STRING)arg);
534: return 1;
535: } else if ( OID(arg) == O_P ) {
536: dp_dvars_prefix = NAME(VR((P)arg));
537: return 1;
538: } else return 0;
539: }
540:
1.24 noro 541: void Pquotetotex_env(NODE arg,Obj *rp)
1.18 noro 542: {
543: int ac,i;
544: char *name;
545: NODE n,n0;
546: STRING s;
547: LIST l;
548:
549: ac = argc(arg);
550: if ( !ac ) {
551: n0 = 0;
552: for ( i = 0; qtot_env[i].name; i++ ) {
553: NEXTNODE(n0,n); MKSTR(s,qtot_env[i].name); BDY(n) = (pointer)s;
554: NEXTNODE(n0,n); BDY(n) = (Q)qtot_env[i].value;
555: }
556: NEXT(n) = 0;
557: MKLIST(l,n0);
558: *rp = (Obj)l;
1.34 noro 559: } else if ( ac == 1 && !ARG0(arg) ) {
560: /* set to default */
1.43 noro 561: for ( i = 0; qtot_env[i].name; i++ ) {
562: (qtot_env[i].reg)(0);
1.34 noro 563: qtot_env[i].value = 0;
1.43 noro 564: }
1.34 noro 565: *rp = 0;
1.18 noro 566: } else if ( ac == 1 || ac == 2 ) {
1.24 noro 567: asir_assert(ARG0(arg),O_STR,"quotetotex_env");
1.18 noro 568: name = BDY((STRING)ARG0(arg));
569: for ( i = 0; qtot_env[i].name; i++ )
570: if ( !strcmp(qtot_env[i].name,name) ) {
571: if ( ac == 2 ) {
572: if ( (qtot_env[i].reg)((Obj)ARG1(arg)) )
573: qtot_env[i].value = (Obj)ARG1(arg);
574: else
1.24 noro 575: error("quotetotex_env : invalid argument");
1.18 noro 576: }
577: *rp = qtot_env[i].value;
578: return;
579: }
580: *rp = 0;
581: } else
582: *rp = 0;
583: }
584:
1.14 noro 585: void Pwrite_to_tb(NODE arg,Q *rp)
1.13 noro 586: {
587: int i;
1.16 noro 588: Obj obj;
589: TB tb;
1.13 noro 590:
1.14 noro 591: asir_assert(ARG1(arg),O_TB,"write_to_tb");
1.16 noro 592: obj = ARG0(arg);
593: if ( !obj )
594: write_tb("",ARG1(arg));
595: else if ( OID(obj) == O_STR )
596: write_tb(BDY((STRING)obj),ARG1(arg));
597: else if ( OID(obj) == O_TB ) {
598: tb = (TB)obj;
599: for ( i = 0; i < tb->next; i++ )
600: write_tb(tb->body[i],ARG1(arg));
601: }
1.14 noro 602: *rp = 0;
1.53 noro 603: }
604:
1.105 noro 605: void Pqt_to_nary(NODE arg,QUOTE *rp)
1.63 noro 606: {
607: FNODE f;
608:
1.70 noro 609: f = fnode_to_nary(BDY((QUOTE)ARG0(arg)));
1.63 noro 610: MKQUOTE(*rp,f);
611: }
612:
1.105 noro 613: void Pqt_to_bin(NODE arg,QUOTE *rp)
1.63 noro 614: {
615: FNODE f;
616: int direction;
617:
618: direction = QTOS((Q)ARG1(arg));
1.70 noro 619: f = fnode_to_bin(BDY((QUOTE)ARG0(arg)),direction);
1.63 noro 620:
621: MKQUOTE(*rp,f);
622: }
1.61 noro 623:
1.108 noro 624: void Pqt_is_var(NODE arg,Q *rp)
625: {
626: QUOTE q;
627: int ret;
628:
629: q = (QUOTE)ARG0(arg);
630: asir_assert(q,O_QUOTE,"qt_is_var");
631: ret = fnode_is_var(BDY(q));
632: STOQ(ret,*rp);
633: }
634:
635: void Pqt_is_coef(NODE arg,Q *rp)
636: {
637: QUOTE q;
638: int ret;
639:
640: q = (QUOTE)ARG0(arg);
641: asir_assert(q,O_QUOTE,"qt_is_coef");
642: ret = fnode_is_coef(BDY(q));
643: STOQ(ret,*rp);
644: }
645:
1.105 noro 646: void Pqt_is_number(NODE arg,Q *rp)
1.69 noro 647: {
648: QUOTE q;
649: int ret;
650:
651: q = (QUOTE)ARG0(arg);
1.105 noro 652: asir_assert(q,O_QUOTE,"qt_is_number");
1.69 noro 653: ret = fnode_is_number(BDY(q));
654: STOQ(ret,*rp);
655: }
656:
1.105 noro 657: void Pqt_is_rational(NODE arg,Q *rp)
1.69 noro 658: {
659: QUOTE q;
660: int ret;
661:
662: q = (QUOTE)ARG0(arg);
1.105 noro 663: asir_assert(q,O_QUOTE,"qt_is_rational");
1.69 noro 664: ret = fnode_is_rational(BDY(q));
665: STOQ(ret,*rp);
666: }
667:
1.105 noro 668: void Pqt_is_integer(NODE arg,Q *rp)
1.69 noro 669: {
670: QUOTE q;
671: int ret;
672:
673: q = (QUOTE)ARG0(arg);
1.105 noro 674: asir_assert(q,O_QUOTE,"qt_is_integer");
1.69 noro 675: ret = fnode_is_integer(BDY(q));
676: STOQ(ret,*rp);
677: }
678:
1.105 noro 679: void Pqt_is_function(NODE arg,Q *rp)
1.69 noro 680: {
681: QUOTE q;
682: int ret;
683:
684: q = (QUOTE)ARG0(arg);
1.105 noro 685: asir_assert(q,O_QUOTE,"qt_is_function");
1.69 noro 686: if ( q->id == I_FUNC || q->id == I_IFUNC )
687: ret = 1;
688: else
689: ret = 0;
690: STOQ(ret,*rp);
691: }
692:
1.105 noro 693: void Pqt_is_dependent(NODE arg,Q *rp)
1.69 noro 694: {
695: P x;
696: QUOTE q,v;
697: int ret;
698: V var;
699:
700: q = (QUOTE)ARG0(arg);
701: v = (QUOTE)ARG1(arg);
1.105 noro 702: asir_assert(q,O_QUOTE,"qt_is_dependent");
703: asir_assert(v,O_QUOTE,"qt_is_dependent");
1.69 noro 704: x = (P)eval(BDY(v));
705: if ( !x || OID(x) != O_P )
706: *rp = 0;
707: var = VR(x);
708: ret = fnode_is_dependent(BDY(q),var);
709: STOQ(ret,*rp);
710: }
711:
712:
1.105 noro 713: void Pqt_match(NODE arg,Q *rp)
1.53 noro 714: {
1.61 noro 715: FNODE f,g;
1.65 noro 716: Obj obj;
1.61 noro 717: QUOTE q;
1.53 noro 718: NODE r;
1.56 noro 719: int ret;
1.53 noro 720:
1.65 noro 721: obj = (Obj)ARG0(arg);
1.105 noro 722: ret = qt_match(obj,(Obj)ARG1(arg),&r);
1.57 noro 723: if ( ret ) {
724: do_assign(r);
725: *rp = ONE;
726: } else
1.56 noro 727: *rp = 0;
1.68 noro 728: }
729:
1.105 noro 730: void Pnqt_match(NODE arg,Q *rp)
1.88 noro 731: {
732: QUOTE fq,pq;
733: FNODE f,p;
734: int ret;
1.104 noro 735: Q mode;
1.88 noro 736: NODE r;
737:
1.104 noro 738: mode = argc(arg)==3 ? (Q)ARG2(arg) : 0;
1.105 noro 739: fq = (QUOTE)ARG0(arg); Pqt_normalize(mknode(2,fq,mode),&fq); f = (FNODE)BDY(fq);
740: pq = (QUOTE)ARG1(arg); Pqt_normalize(mknode(2,pq,mode),&pq); p = (FNODE)BDY(pq);
1.95 noro 741: ret = nfnode_match(f,p,&r);
1.88 noro 742: if ( ret ) {
743: fnode_do_assign(r);
744: *rp = ONE;
745: } else
746: *rp = 0;
747: }
748:
1.106 noro 749: void Pnqt_match_rewrite(NODE arg,Obj *rp)
750: {
751: FNODE f,p,c,a,r;
752: Obj obj,pat,cond,action;
753: NODE rule;
754: QUOTE q;
755: Q mode;
756: int m;
757:
758: obj = (Obj)ARG0(arg);
759: rule = BDY((LIST)ARG1(arg));
760: mode = (Q)ARG2(arg);
761: if ( length(rule) == 2 ) {
762: pat = ARG0(rule);
763: cond = (Obj)ONE;
764: action = (Obj)ARG1(rule);
765: } else {
766: pat = ARG0(rule);
767: cond = ARG1(rule);
768: action = (Obj)ARG2(rule);
769: }
770: Pqt_normalize(mknode(2,obj,mode),&q); f = (FNODE)BDY(q);
771: Pqt_normalize(mknode(2,pat,mode),&q); p = (FNODE)BDY(q);
772: Pqt_normalize(mknode(2,action,mode),&q);
773: a = (FNODE)BDY(q);
774: if ( OID(cond) == O_QUOTE ) c = BDY((QUOTE)cond);
775: else c = mkfnode(1,I_FORMULA,ONE);
776:
777: m = QTOS(mode);
778: r = nfnode_match_rewrite(f,p,c,a,m);
779: if ( r ) {
780: MKQUOTE(q,r);
781: *rp = (Obj)q;
782: } else
783: *rp = obj;
784: }
785:
786: /* f is NARYOP => do submatch */
787:
788: #define PV_ANY 99999999
789:
790: FNODE nfnode_match_rewrite(FNODE f,FNODE p,FNODE c,FNODE a,int mode)
791: {
792: ARF op;
793: NODE arg,h0,t,h,valuen;
794: NODE r,s0,s,pair;
1.107 noro 795: FNODE any,pany,head,tail,a1,a2;
1.106 noro 796: QUOTE q;
797: int ret;
798: FNODE value;
799: int ind;
800:
801: if ( f->id == I_NARYOP ) {
802: op = (ARF)FA0(f);
803: arg = (NODE)FA1(f);
804: pany = 0;
805: for ( h0 = 0, t = arg; t; t = NEXT(t) ) {
806: tail = fnode_node_to_nary(op,t);
807: ret = nfnode_match(tail,p,&r) && eval(rewrite_fnode(c,r,1));
808: if ( ret ) break;
809:
810: /* append a variable to the pattern */
811: if ( !pany ) {
812: any = mkfnode(1,I_PVAR,PV_ANY);
813: pany = mkfnode(3,I_BOP,op,p,any);
814: pany = fnode_normalize(pany,mode);
815: }
816: ret = nfnode_match(tail,pany,&r) && eval(rewrite_fnode(c,r,1));
817: if ( ret ) {
818: a = fnode_normalize(mkfnode(3,I_BOP,op,a,any),mode);
819: break;
820: }
821:
822: NEXTNODE(h0,h);
823: BDY(h) = BDY(t);
824: }
825: if ( t ) {
826: if ( h0 ) NEXT(h) = 0;
827: head = fnode_node_to_nary(op,h0);
828: a = fnode_normalize(mkfnode(3,I_BOP,op,head,a),mode);
829: ret = 1;
830: } else
831: ret = 0;
832: } else
833: ret = nfnode_match(f,p,&r) && eval(rewrite_fnode(c,r,1));
834:
835: if ( ret ) {
1.107 noro 836: a1 = rewrite_fnode(a,r,0);
837: a2 = partial_eval(a1);
838: return fnode_normalize(a2,mode);
1.106 noro 839: } else
840: return 0;
841: }
842:
1.56 noro 843: void do_assign(NODE arg)
844: {
845: NODE t,pair;
846: int pv;
847:
848: QUOTE value;
849:
850: for ( t = arg; t; t = NEXT(t) ) {
851: pair = BDY((LIST)BDY(t));
1.119 noro 852: pv = (long)FA0((FNODE)BDY((QUOTE)BDY(pair)));
1.56 noro 853: value = (QUOTE)(BDY(NEXT(pair)));
854: ASSPV(pv,value);
855: }
1.53 noro 856: }
857:
1.88 noro 858: /* [[index,fnode],...] */
859:
860: void fnode_do_assign(NODE arg)
861: {
862: NODE t,pair;
863: int pv;
864: FNODE f;
865: QUOTE value;
1.95 noro 866: QUOTEARG qa;
1.88 noro 867:
868: for ( t = arg; t; t = NEXT(t) ) {
869: pair = (NODE)BDY(t);
870: pv = (int)BDY(pair);
871: f = (FNODE)(BDY(NEXT(pair)));
1.96 noro 872: if ( f->id == I_FUNC_HEAD ) {
873: /* XXX : I_FUNC_HEAD is a dummy id to pass FUNC */
1.95 noro 874: MKQUOTEARG(qa,A_func,FA0(f));
875: value = (QUOTE)qa;
876: } else
877: MKQUOTE(value,f);
1.88 noro 878: ASSPV(pv,value);
879: }
880: }
881:
1.53 noro 882: /*
1.56 noro 883: /* consistency check and merge
884: */
1.53 noro 885:
1.56 noro 886: int merge_matching_node(NODE n,NODE a,NODE *rp)
1.53 noro 887: {
888: NODE ta,ba,tn,bn;
889: QUOTE pa,va,pn,vn;
890:
1.56 noro 891: if ( !n ) {
892: *rp = a;
893: return 1;
894: }
1.53 noro 895: for ( ta = a; ta; ta = NEXT(ta) ) {
896: ba = BDY((LIST)BDY(ta));
1.55 noro 897: if ( !ba ) continue;
1.53 noro 898: pa = (QUOTE)BDY(ba); va = (QUOTE)BDY(NEXT(ba));
899: for ( tn = n; tn; tn = NEXT(tn) ) {
900: bn = BDY((LIST)BDY(tn));
1.55 noro 901: if ( !bn ) continue;
1.53 noro 902: pn = (QUOTE)BDY(bn); vn = (QUOTE)BDY(NEXT(bn));
1.55 noro 903: if ( !compquote(CO,pa,pn) ) {
904: if ( !compquote(CO,va,vn) ) break;
905: else return 0;
906: }
1.53 noro 907: }
908: if ( !tn ) {
909: MKNODE(tn,(pointer)BDY(ta),n);
910: n = tn;
911: }
912: }
1.56 noro 913: *rp = n;
914: return 1;
1.53 noro 915: }
916:
1.105 noro 917: int qt_match_node(NODE f,NODE pat,NODE *rp) {
1.56 noro 918: NODE r,a,tf,tp,r1;
919: int ret;
1.53 noro 920:
921: if ( length(f) != length(pat) ) return 0;
922: r = 0;
923: for ( tf = f, tp = pat; tf; tf = NEXT(tf), tp = NEXT(tp) ) {
1.105 noro 924: ret = qt_match((Obj)BDY(tf),(Obj)BDY(tp),&a);
1.56 noro 925: if ( !ret ) return 0;
926: ret = merge_matching_node(r,a,&r1);
927: if ( !ret ) return 0;
928: else r = r1;
1.53 noro 929: }
1.56 noro 930: *rp = r;
931: return 1;
1.53 noro 932: }
933:
1.66 noro 934: /* f = [a,b,c,...] pat = [X,Y,...] rpat matches the rest of f */
935:
1.105 noro 936: int qt_match_cons(NODE f,NODE pat,Obj rpat,NODE *rp) {
1.66 noro 937: QUOTE q;
938: Q id;
939: FNODE fn;
940: NODE r,a,tf,tp,r1,arg;
941: int ret;
942: LIST list,alist;
943:
944: /* matching of the head part */
945: if ( length(f) < length(pat) ) return 0;
946: r = 0;
947: for ( tf = f, tp = pat; tp; tf = NEXT(tf), tp = NEXT(tp) ) {
1.105 noro 948: ret = qt_match((Obj)BDY(tf),(Obj)BDY(tp),&a);
1.66 noro 949: if ( !ret ) return 0;
950: ret = merge_matching_node(r,a,&r1);
951: if ( !ret ) return 0;
952: else r = r1;
953: }
954: /* matching of the rest */
955: MKLIST(list,tf);
956: STOQ(I_LIST,id); a = mknode(2,id,list);
957: MKLIST(alist,a);
958: arg = mknode(1,alist);
959: Pfunargs_to_quote(arg,&q);
1.105 noro 960: ret = qt_match((Obj)q,rpat,&a);
1.66 noro 961: if ( !ret ) return 0;
962: ret = merge_matching_node(r,a,&r1);
963: if ( !ret ) return 0;
964: *rp = r1;
965: return 1;
966: }
967:
1.53 noro 968: void get_quote_id_arg(QUOTE f,int *id,NODE *r)
969: {
970: LIST fa;
971: NODE arg,fab;
972:
973: arg = mknode(1,f); Pquote_to_funargs(arg,&fa); fab = BDY((LIST)fa);
974: *id = QTOS((Q)BDY(fab)); *r = NEXT(fab);
975: }
976:
1.56 noro 977: /* *rp : [[quote(A),quote(1)],...] */
1.53 noro 978:
1.105 noro 979: int qt_match(Obj f, Obj pat, NODE *rp)
1.53 noro 980: {
981: NODE tf,tp,head,body;
982: NODE parg,farg,r;
1.66 noro 983: Obj rpat;
1.53 noro 984: LIST fa,l;
985: int pid,id;
1.55 noro 986: FUNC ff,pf;
1.56 noro 987: int ret;
1.64 noro 988: QUOTE q;
989: FNODE g;
1.53 noro 990:
1.67 noro 991: if ( !f )
992: if ( !pat ) {
993: *rp = 0; return 1;
994: } else
995: return 0;
996: else if ( OID(pat) == O_LIST ) {
1.53 noro 997: if ( OID(f) == O_LIST )
1.105 noro 998: return qt_match_node(BDY((LIST)f),BDY((LIST)pat),rp);
1.53 noro 999: else
1000: return 0;
1001: } else if ( OID(pat) == O_QUOTE ) {
1.67 noro 1002: pid = ((FNODE)BDY((QUOTE)pat))->id;
1.53 noro 1003: switch ( pid ) {
1.55 noro 1004: case I_FORMULA:
1005: if ( compquote(CO,f,pat) )
1006: return 0;
1007: else {
1.67 noro 1008: *rp = 0; return 1;
1.55 noro 1009: }
1010: break;
1.67 noro 1011:
1012: case I_LIST: case I_CONS:
1013: get_quote_id_arg((QUOTE)pat,&pid,&parg);
1014: if ( OID(f) == O_LIST )
1015: tf = BDY((LIST)f);
1016: else if ( OID(f) == O_QUOTE
1017: && ((FNODE)BDY((QUOTE)f))->id == pid ) {
1018: get_quote_id_arg((QUOTE)f,&id,&farg);
1019: tf = BDY((LIST)BDY(farg));
1020: } else
1021: return 0;
1022:
1.66 noro 1023: tp = BDY((LIST)BDY(parg));
1.67 noro 1024: if ( pid == I_LIST )
1.105 noro 1025: return qt_match_node(tf,tp,rp);
1.67 noro 1026: else {
1027: rpat = (Obj)BDY(NEXT(parg));
1.105 noro 1028: return qt_match_cons(tf,tp,rpat,rp);
1.67 noro 1029: }
1030:
1.53 noro 1031: case I_PVAR:
1032: /* [[pat,f]] */
1033: r = mknode(2,pat,f); MKLIST(l,r);
1.56 noro 1034: *rp = mknode(1,l);
1035: return 1;
1.67 noro 1036:
1.53 noro 1037: case I_IFUNC:
1038: /* F(X,Y,...) = ... */
1.67 noro 1039: get_quote_id_arg((QUOTE)f,&id,&farg);
1040: get_quote_id_arg((QUOTE)pat,&pid,&parg);
1.53 noro 1041: if ( id == I_FUNC ) {
1.54 noro 1042: r = mknode(2,BDY(parg),BDY(farg)); MKLIST(l,r);
1043: head = mknode(1,l);
1.105 noro 1044: ret = qt_match(BDY(NEXT(farg)),
1.56 noro 1045: BDY(NEXT(parg)),&body);
1046: if ( !ret ) return 0;
1047: else return merge_matching_node(head,body,rp);
1.53 noro 1048: } else
1049: return 0;
1.64 noro 1050:
1.67 noro 1051: case I_NARYOP: case I_BOP: case I_FUNC:
1.64 noro 1052: /* X+Y = ... */
1.67 noro 1053: /* f(...) = ... */
1054: if ( OID(f) != O_QUOTE ) return 0;
1055: id = ((FNODE)BDY((QUOTE)f))->id;
1056: if ( pid == I_FUNC )
1057: ;
1058: else {
1059: /* XXX converting to I_BOP */
1060: if ( pid == I_NARYOP ) {
1.70 noro 1061: g = fnode_to_bin(BDY((QUOTE)pat),1);
1.67 noro 1062: MKQUOTE(q,g); pat = (Obj)q;
1063: }
1064: if ( id == I_NARYOP ) {
1.70 noro 1065: g = fnode_to_bin(BDY((QUOTE)f),1);
1.67 noro 1066: MKQUOTE(q,g); f = (Obj)q;
1067: }
1068: }
1069: get_quote_id_arg((QUOTE)pat,&pid,&parg);
1070: get_quote_id_arg((QUOTE)f,&id,&farg);
1.64 noro 1071: if ( compqa(CO,BDY(farg),BDY(parg)) ) return 0;
1.105 noro 1072: return qt_match_node(NEXT(farg),NEXT(parg),rp);
1.64 noro 1073:
1.53 noro 1074: default:
1.67 noro 1075: if ( OID(f) != O_QUOTE ) return 0;
1076: id = ((FNODE)BDY((QUOTE)f))->id;
1077: if ( id != pid ) return 0;
1078: get_quote_id_arg((QUOTE)pat,&pid,&parg);
1079: get_quote_id_arg((QUOTE)f,&id,&farg);
1.105 noro 1080: return qt_match_node(farg,parg,rp);
1.53 noro 1081: }
1082: }
1.13 noro 1083: }
1084:
1.14 noro 1085: void Pquotetotex(NODE arg,STRING *rp)
1.13 noro 1086: {
1.14 noro 1087: TB tb;
1.13 noro 1088:
1.14 noro 1089: NEWTB(tb);
1.27 noro 1090: /* XXX for DP */
1091: is_lt = 1;
1.14 noro 1092: fnodetotex_tb(BDY((QUOTE)ARG0(arg)),tb);
1093: tb_to_string(tb,rp);
1.13 noro 1094: }
1095:
1.14 noro 1096: void Pquotetotex_tb(NODE arg,Q *rp)
1.13 noro 1097: {
1098: int i;
1.14 noro 1099: TB tb;
1.13 noro 1100:
1.14 noro 1101: asir_assert(ARG1(arg),O_TB,"quotetotex_tb");
1.27 noro 1102: /* XXX for DP */
1103: is_lt = 1;
1.14 noro 1104: fnodetotex_tb(BDY((QUOTE)ARG0(arg)),ARG1(arg));
1.13 noro 1105: *rp = 0;
1106: }
1107:
1.14 noro 1108: void Pstring_to_tb(NODE arg,TB *rp)
1109: {
1110: TB tb;
1111:
1112: asir_assert(ARG0(arg),O_STR,"string_to_tb");
1113: NEWTB(tb);
1114: tb->body[0] = BDY((STRING)ARG0(arg));
1115: tb->next++;
1116: *rp = tb;
1117: }
1118:
1119: void Ptb_to_string(NODE arg,STRING *rp)
1120: {
1121: TB tb;
1122:
1123: asir_assert(ARG0(arg),O_TB,"tb_to_string");
1124: tb = (TB)ARG0(arg);
1125: tb_to_string(tb,rp);
1126: }
1127:
1128: void tb_to_string(TB tb,STRING *rp)
1.13 noro 1129: {
1.14 noro 1130: int j,len;
1.13 noro 1131: char *all,*p,*q;
1132:
1.14 noro 1133: for ( j = 0, len = 0; j < tb->next; j++ )
1134: len += strlen(tb->body[j]);
1135: all = (char *)MALLOC_ATOMIC((len+1)*sizeof(char));
1136: for ( j = 0, p = all; j < tb->next; j++ )
1137: for ( q = tb->body[j]; *q; *p++ = *q++ );
1138: *p = 0;
1139: MKSTR(*rp,all);
1140: }
1141:
1142: void Pclear_tb(NODE arg,Q *rp)
1143: {
1144: TB tb;
1145: int j;
1146:
1147: asir_assert(ARG0(arg),O_TB,"clear_tb");
1148: tb = (TB)ARG0(arg);
1149: for ( j = 0; j < tb->next; j++ )
1150: tb->body[j] = 0;
1151: tb->next = 0;
1152: *rp = 0;
1.13 noro 1153: }
1.5 noro 1154:
1155: void Pstr_len(arg,rp)
1156: NODE arg;
1157: Q *rp;
1158: {
1.16 noro 1159: Obj obj;
1160: TB tb;
1161: int r,i;
1.5 noro 1162:
1.16 noro 1163: obj = (Obj)ARG0(arg);
1164: if ( !obj || (OID(obj) != O_STR && OID(obj) != O_TB) )
1165: error("str_len : invalid argument");
1166: if ( OID(obj) == O_STR)
1167: r = strlen(BDY((STRING)obj));
1168: else if ( OID(obj) == O_TB ) {
1169: tb = (TB)obj;
1170: for ( r = i = 0; i < tb->next; i++ )
1171: r += strlen(tb->body[i]);
1172: }
1.5 noro 1173: STOQ(r,*rp);
1174: }
1175:
1176: void Pstr_chr(arg,rp)
1177: NODE arg;
1178: Q *rp;
1179: {
1180: STRING str,terminator;
1181: Q start;
1182: char *p,*ind;
1183: int chr,spos,r;
1184:
1185: str = (STRING)ARG0(arg);
1186: start = (Q)ARG1(arg);
1187: terminator = (STRING)ARG2(arg);
1188: asir_assert(str,O_STR,"str_chr");
1189: asir_assert(start,O_N,"str_chr");
1190: asir_assert(terminator,O_STR,"str_chr");
1191: p = BDY(str);
1192: spos = QTOS(start);
1193: chr = BDY(terminator)[0];
1.8 noro 1194: if ( spos > (int)strlen(p) )
1.5 noro 1195: r = -1;
1196: else {
1197: ind = strchr(p+spos,chr);
1198: if ( ind )
1199: r = ind-p;
1200: else
1201: r = -1;
1202: }
1203: STOQ(r,*rp);
1204: }
1205:
1206: void Psub_str(arg,rp)
1207: NODE arg;
1208: STRING *rp;
1209: {
1210: STRING str;
1211: Q head,tail;
1212: char *p,*r;
1213: int spos,epos,len;
1214:
1215: str = (STRING)ARG0(arg);
1216: head = (Q)ARG1(arg);
1217: tail = (Q)ARG2(arg);
1218: asir_assert(str,O_STR,"sub_str");
1219: asir_assert(head,O_N,"sub_str");
1220: asir_assert(tail,O_N,"sub_str");
1221: p = BDY(str);
1222: spos = QTOS(head);
1223: epos = QTOS(tail);
1224: len = strlen(p);
1225: if ( (spos >= len) || (epos < spos) ) {
1226: *rp = 0; return;
1227: }
1228: if ( epos >= len )
1229: epos = len-1;
1230: len = epos-spos+1;
1231: r = (char *)MALLOC(len+1);
1232: strncpy(r,p+spos,len);
1233: r[len] = 0;
1234: MKSTR(*rp,r);
1235: }
1.3 noro 1236:
1237: void Pstrtoascii(arg,rp)
1238: NODE arg;
1239: LIST *rp;
1240: {
1241: STRING str;
1242: unsigned char *p;
1243: int len,i;
1244: NODE n,n1;
1245: Q q;
1246:
1247: str = (STRING)ARG0(arg);
1248: asir_assert(str,O_STR,"strtoascii");
1249: p = BDY(str);
1250: len = strlen(p);
1251: for ( i = len-1, n = 0; i >= 0; i-- ) {
1252: UTOQ((unsigned int)p[i],q);
1253: MKNODE(n1,q,n);
1254: n = n1;
1255: }
1256: MKLIST(*rp,n);
1257: }
1258:
1259: void Pasciitostr(arg,rp)
1260: NODE arg;
1261: STRING *rp;
1262: {
1263: LIST list;
1264: unsigned char *p;
1265: int len,i,j;
1266: NODE n;
1267: Q q;
1268:
1269: list = (LIST)ARG0(arg);
1270: asir_assert(list,O_LIST,"asciitostr");
1271: n = BDY(list);
1272: len = length(n);
1273: p = MALLOC_ATOMIC(len+1);
1274: for ( i = 0; i < len; i++, n = NEXT(n) ) {
1275: q = (Q)BDY(n);
1276: asir_assert(q,O_N,"asciitostr");
1277: j = QTOS(q);
1.4 noro 1278: if ( j >= 256 || j <= 0 )
1.3 noro 1279: error("asciitostr : argument out of range");
1280: p[i] = j;
1281: }
1282: p[i] = 0;
1283: MKSTR(*rp,(char *)p);
1284: }
1.1 noro 1285:
1286: void Peval_str(arg,rp)
1287: NODE arg;
1288: Obj *rp;
1289: {
1290: FNODE fnode;
1.119 noro 1291: SNODE snode;
1.1 noro 1292: char *cmd;
1.10 ohara 1293: #if defined(PARI)
1.8 noro 1294: void recover(int);
1295:
1.1 noro 1296: recover(0);
1.11 saito 1297: # if !(PARI_VERSION_CODE > 131588)
1.1 noro 1298: if ( setjmp(environnement) ) {
1299: avma = top; recover(1);
1300: resetenv("");
1301: }
1.11 saito 1302: # endif
1.1 noro 1303: #endif
1304: cmd = BDY((STRING)ARG0(arg));
1.119 noro 1305: #if 0
1.9 noro 1306: exprparse_create_var(0,cmd,&fnode);
1.1 noro 1307: *rp = eval(fnode);
1.119 noro 1308: #else
1309: exprparse_create_var(0,cmd,&snode);
1310: *rp = evalstat(snode);
1311: #endif
1.1 noro 1312: }
1313:
1314: void Prtostr(arg,rp)
1315: NODE arg;
1316: STRING *rp;
1317: {
1318: char *b;
1319: int len;
1320:
1.2 noro 1321: len = estimate_length(CO,ARG0(arg));
1.12 noro 1322: b = (char *)MALLOC_ATOMIC(len+1);
1.1 noro 1323: soutput_init(b);
1324: sprintexpr(CO,ARG0(arg));
1325: MKSTR(*rp,b);
1326: }
1327:
1328: void Pstrtov(arg,rp)
1329: NODE arg;
1330: P *rp;
1331: {
1.8 noro 1332: char *p;
1.120 ! noro 1333: FUNC f;
1.1 noro 1334:
1335: p = BDY((STRING)ARG0(arg));
1336: #if 0
1337: if ( !islower(*p) )
1338: *rp = 0;
1339: else {
1340: for ( t = p+1; t && (isalnum(*t) || *t == '_'); t++ );
1341: if ( *t )
1342: *rp = 0;
1343: else
1344: makevar(p,rp);
1345: }
1346: #else
1.120 ! noro 1347: gen_searchf_searchonly(p,&f);
! 1348: if ( f )
! 1349: makesrvar(f,rp);
! 1350: else
! 1351: makevar(p,rp);
1.1 noro 1352: #endif
1.14 noro 1353: }
1354:
1.15 noro 1355: static struct TeXSymbol texsymbol[] = {
1356: {"sin","\\sin"},
1357: {"cos","\\cos"},
1358: {"tan","\\tan"},
1359: {"sinh","\\sinh"},
1360: {"cosh","\\cosh"},
1361: {"tanh","\\tanh"},
1362: {"exp","\\exp"},
1363: {"log","\\log"},
1364:
1365: /* Greek Letters (lower case) */
1366: {"alpha","\\alpha"},
1367: {"beta","\\beta"},
1368: {"gamma","\\gamma"},
1369: {"delta","\\delta"},
1370: {"epsilon","\\epsilon"},
1371: {"varepsilon","\\varepsilon"},
1372: {"zeta","\\zeta"},
1373: {"eta","\\eta"},
1374: {"theta","\\theta"},
1375: {"vartheta","\\vartheta"},
1376: {"iota","\\iota"},
1377: {"kappa","\\kappa"},
1378: {"lambda","\\lambda"},
1379: {"mu","\\mu"},
1380: {"nu","\\nu"},
1381: {"xi","\\xi"},
1382: {"pi","\\pi"},
1383: {"varpi","\\varpi"},
1384: {"rho","\\rho"},
1385: {"sigma","\\sigma"},
1386: {"varsigma","\\varsigma"},
1387: {"tau","\\tau"},
1388: {"upsilon","\\upsilon"},
1389: {"phi","\\phi"},
1390: {"varphi","\\varphi"},
1391: {"chi","\\chi"},
1392: {"omega","\\omega"},
1393:
1394: /* Greek Letters, (upper case) */
1395: {"ggamma","\\Gamma"},
1396: {"ddelta","\\Delta"},
1397: {"ttheta","\\Theta"},
1398: {"llambda","\\Lambda"},
1399: {"xxi","\\Xi"},
1400: {"ppi","\\Pi"},
1401: {"ssigma","\\Sigma"},
1402: {"uupsilon","\\Upsilon"},
1403: {"pphi","\\Phi"},
1404: {"ppsi","\\Psi"},
1405: {"oomega","\\Omega"},
1406:
1407: /* Our own mathematical functions */
1408: {"algebra_tensor","\\otimes"},
1409: {"base_where","{\\rm \\ where \\ }"},
1410: /* Mathematical constants */
1411: {"c_pi","\\pi"},
1412: {"c_i","\\sqrt{-1}"},
1413:
1414: /* Temporary */
1415: {0,0}
1416: };
1417:
1.14 noro 1418: char *symbol_name(char *name)
1419: {
1.15 noro 1420: int i;
1421:
1.41 noro 1422: if ( !name || strlen(name) == 0 )
1423: return "";
1.38 noro 1424: if ( !(conv_flag & CONV_TABLE) )
1425: return name;
1426:
1.18 noro 1427: if ( user_texsymbol )
1428: for ( i = 0; user_texsymbol[i].text; i++ )
1429: if ( !strcmp(user_texsymbol[i].text,name) )
1430: return user_texsymbol[i].symbol;
1.15 noro 1431: for ( i = 0; texsymbol[i].text; i++ )
1432: if ( !strcmp(texsymbol[i].text,name) )
1433: return texsymbol[i].symbol;
1.41 noro 1434: return 0;
1.52 noro 1435: }
1436:
1437: void Pget_function_name(NODE arg,STRING *rp)
1438: {
1439: QUOTEARG qa;
1440: ARF f;
1441: char *opname;
1442:
1443: qa = (QUOTEARG)BDY(arg);
1444: if ( !qa || OID(qa) != O_QUOTEARG || qa->type != A_arf )
1445: *rp = 0;
1446: else {
1447: f = (ARF)BDY(qa);
1448: opname = f->name;
1449: MKSTR(*rp,opname);
1450: }
1.14 noro 1451: }
1452:
1.51 noro 1453: FNODE strip_paren(FNODE);
1.111 noro 1454: void objtotex_tb(Obj obj,TB tb);
1.51 noro 1455:
1.14 noro 1456: void fnodetotex_tb(FNODE f,TB tb)
1457: {
1.91 noro 1458: NODE n,t,t0,args;
1.38 noro 1459: char vname[BUFSIZ],prefix[BUFSIZ];
1460: char *opname,*vname_conv,*prefix_conv;
1.14 noro 1461: Obj obj;
1.46 noro 1462: int i,len,allzero,elen,elen2,si;
1.40 noro 1463: char *r;
1.91 noro 1464: FNODE fi,f2,f1;
1.14 noro 1465:
1466: write_tb(" ",tb);
1467: if ( !f ) {
1468: write_tb("0",tb);
1469: return;
1470: }
1471: switch ( f->id ) {
1472: /* unary operators */
1.23 noro 1473: case I_NOT:
1474: write_tb("\\neg (",tb);
1475: fnodetotex_tb((FNODE)FA0(f),tb);
1476: write_tb(")",tb);
1477: break;
1478: case I_PAREN:
1479: write_tb("(",tb);
1480: fnodetotex_tb((FNODE)FA0(f),tb);
1481: write_tb(")",tb);
1482: break;
1483: case I_MINUS:
1484: write_tb("-",tb);
1485: fnodetotex_tb((FNODE)FA0(f),tb);
1486: break;
1487:
1488: /* binary operators */
1489: /* arg list */
1490: /* I_AND, I_OR => FA0(f), FA1(f) */
1491: /* otherwise => FA1(f), FA2(f) */
1492: case I_BOP:
1493: opname = ((ARF)FA0(f))->name;
1.70 noro 1494: switch ( opname[0] ) {
1495: case '+':
1496: fnodetotex_tb((FNODE)FA1(f),tb);
1497: if ( !top_is_minus((FNODE)FA2(f)) ) write_tb(opname,tb);
1498: fnodetotex_tb((FNODE)FA2(f),tb);
1499: break;
1500: case '-':
1501: if ( FA1(f) ) fnodetotex_tb((FNODE)FA1(f),tb);
1502: write_tb(opname,tb);
1503: fnodetotex_tb((FNODE)FA2(f),tb);
1504: break;
1505: case '*':
1506: fnodetotex_tb((FNODE)FA1(f),tb);
1507: write_tb(" ",tb);
1508: /* XXX special care for DP */
1509: f2 = (FNODE)FA2(f);
1510: if ( f2->id == I_EV ) {
1511: n = (NODE)FA0(f2);
1512: for ( i = 0; n; n = NEXT(n), i++ ) {
1513: fi = (FNODE)BDY(n);
1514: if ( fi->id != I_FORMULA || FA0(fi) )
1515: break;
1516: }
1517: if ( n )
1518: fnodetotex_tb((FNODE)FA2(f),tb);
1519: } else
1.23 noro 1520: fnodetotex_tb((FNODE)FA2(f),tb);
1.70 noro 1521: break;
1522: case '/':
1523: write_tb("\\frac{",tb);
1524: fnodetotex_tb((FNODE)FA1(f),tb);
1525: write_tb("} {",tb);
1526: fnodetotex_tb((FNODE)FA2(f),tb);
1527: write_tb("}",tb);
1528: break;
1529: case '^':
1.111 noro 1530: f1 = (FNODE)FA1(f);
1531: if ( fnode_is_var(f1) )
1532: fnodetotex_tb(f1,tb);
1533: else {
1534: write_tb("(",tb);
1535: fnodetotex_tb(f1,tb);
1536: write_tb(")",tb);
1537: }
1.70 noro 1538: write_tb("^{",tb);
1539: fnodetotex_tb(strip_paren((FNODE)FA2(f)),tb);
1540: write_tb("} ",tb);
1541: break;
1542: case '%':
1543: fnodetotex_tb((FNODE)FA1(f),tb);
1544: write_tb(" {\\rm mod}\\, ",tb);
1.23 noro 1545: fnodetotex_tb((FNODE)FA2(f),tb);
1.70 noro 1546: break;
1547: default:
1548: error("invalid binary operator");
1549: break;
1550: }
1.23 noro 1551: break;
1.91 noro 1552: case I_NARYOP:
1553: args = (NODE)FA1(f);
1554: switch ( OPNAME(f) ) {
1555: case '+':
1556: fnodetotex_tb((FNODE)BDY(args),tb);
1557: for ( args = NEXT(args); args; args = NEXT(args) ) {
1558: write_tb("+",tb);
1.111 noro 1559: f1 = (FNODE)BDY(args);
1.114 noro 1560: /* if ( fnode_is_var(f1) || IS_MUL(f1) )
1.111 noro 1561: fnodetotex_tb(f1,tb);
1.114 noro 1562: else */ {
1.111 noro 1563: write_tb("(",tb);
1564: fnodetotex_tb(f1,tb);
1565: write_tb(")",tb);
1566: }
1.91 noro 1567: }
1568: break;
1569: case '*':
1570: f1 = (FNODE)BDY(args);
1.111 noro 1571: if ( f1->id == I_FORMULA && MUNIQ(FA0(f1)) ) {
1572: write_tb("- ",tb); args = NEXT(args);
1573: }
1574: for ( ; args; args = NEXT(args) ) {
1.91 noro 1575: f2 = (FNODE)BDY(args);
1.111 noro 1576: if ( fnode_is_var(f2) || IS_BINARYPWR(f2) )
1577: fnodetotex_tb(f2,tb);
1578: else {
1579: write_tb("(",tb);
1.91 noro 1580: fnodetotex_tb(f2,tb);
1.111 noro 1581: write_tb(")",tb);
1582: }
1.91 noro 1583: }
1584: break;
1585: default:
1586: error("invalid nary op");
1587: break;
1588: }
1589: break;
1.23 noro 1590:
1591: case I_COP:
1592: switch( (cid)FA0(f) ) {
1593: case C_EQ:
1594: fnodetotex_tb((FNODE)FA1(f),tb);
1595: write_tb(" = ",tb);
1596: fnodetotex_tb((FNODE)FA2(f),tb);
1597: break;
1598: case C_NE:
1599: fnodetotex_tb((FNODE)FA1(f),tb);
1600: write_tb(" \\neq ",tb);
1601: fnodetotex_tb((FNODE)FA2(f),tb);
1602: break;
1603: case C_GT:
1604: fnodetotex_tb((FNODE)FA1(f),tb);
1.45 noro 1605: write_tb(" > ",tb);
1.23 noro 1606: fnodetotex_tb((FNODE)FA2(f),tb);
1607: break;
1608: case C_LT:
1609: fnodetotex_tb((FNODE)FA1(f),tb);
1.45 noro 1610: write_tb(" < ",tb);
1.23 noro 1611: fnodetotex_tb((FNODE)FA2(f),tb);
1.14 noro 1612: break;
1.23 noro 1613: case C_GE:
1614: fnodetotex_tb((FNODE)FA1(f),tb);
1615: write_tb(" \\geq ",tb);
1616: fnodetotex_tb((FNODE)FA2(f),tb);
1.14 noro 1617: break;
1.23 noro 1618: case C_LE:
1619: fnodetotex_tb((FNODE)FA1(f),tb);
1620: write_tb(" \\leq ",tb);
1621: fnodetotex_tb((FNODE)FA2(f),tb);
1.14 noro 1622: break;
1623: }
1624: break;
1625:
1.23 noro 1626: case I_LOP:
1627: switch( (lid)FA0(f) ) {
1628: case L_EQ:
1629: fnodetotex_tb((FNODE)FA1(f),tb);
1630: write_tb(" = ",tb);
1631: fnodetotex_tb((FNODE)FA2(f),tb);
1632: break;
1633: case L_NE:
1634: fnodetotex_tb((FNODE)FA1(f),tb);
1635: write_tb(" \\neq ",tb);
1636: fnodetotex_tb((FNODE)FA2(f),tb);
1637: break;
1638: case L_GT:
1639: fnodetotex_tb((FNODE)FA1(f),tb);
1.45 noro 1640: write_tb(" > ",tb);
1.23 noro 1641: fnodetotex_tb((FNODE)FA2(f),tb);
1642: break;
1643: case L_LT:
1644: fnodetotex_tb((FNODE)FA1(f),tb);
1.45 noro 1645: write_tb(" < ",tb);
1.23 noro 1646: fnodetotex_tb((FNODE)FA2(f),tb);
1647: break;
1648: case L_GE:
1649: fnodetotex_tb((FNODE)FA1(f),tb);
1650: write_tb(" \\geq ",tb);
1651: fnodetotex_tb((FNODE)FA2(f),tb);
1.14 noro 1652: break;
1.23 noro 1653: case L_LE:
1654: fnodetotex_tb((FNODE)FA1(f),tb);
1655: write_tb(" \\leq ",tb);
1656: fnodetotex_tb((FNODE)FA2(f),tb);
1.14 noro 1657: break;
1.23 noro 1658: case L_AND:
1659: fnodetotex_tb((FNODE)FA1(f),tb);
1.14 noro 1660: write_tb(" {\\rm \\ and\\ } ",tb);
1.23 noro 1661: fnodetotex_tb((FNODE)FA2(f),tb);
1662: break;
1663: case L_OR:
1.14 noro 1664: fnodetotex_tb((FNODE)FA1(f),tb);
1.23 noro 1665: write_tb(" {\\rm \\ or\\ } ",tb);
1666: fnodetotex_tb((FNODE)FA2(f),tb);
1.14 noro 1667: break;
1.23 noro 1668: case L_NOT:
1669: /* XXX : L_NOT is a unary operator */
1670: write_tb("\\neg (",tb);
1.14 noro 1671: fnodetotex_tb((FNODE)FA1(f),tb);
1.23 noro 1672: write_tb(")",tb);
1673: return;
1.14 noro 1674: }
1675: break;
1676:
1.23 noro 1677: case I_AND:
1678: fnodetotex_tb((FNODE)FA0(f),tb);
1679: write_tb(" {\\rm \\ and\\ } ",tb);
1680: fnodetotex_tb((FNODE)FA1(f),tb);
1681: break;
1682:
1683: case I_OR:
1684: fnodetotex_tb((FNODE)FA0(f),tb);
1685: write_tb(" {\\rm \\ or\\ } ",tb);
1686: fnodetotex_tb((FNODE)FA1(f),tb);
1687: break;
1688:
1.14 noro 1689: /* ternary operators */
1690: case I_CE:
1691: error("fnodetotex_tb : not implemented yet");
1692: break;
1693:
1694: /* lists */
1695: case I_LIST:
1696: write_tb(" [ ",tb);
1697: n = (NODE)FA0(f);
1698: fnodenodetotex_tb(n,tb);
1699: write_tb("]",tb);
1700: break;
1701:
1702: /* function */
1.23 noro 1703: case I_FUNC:
1.40 noro 1704: if ( !strcmp(((FUNC)FA0(f))->name,"@pi") )
1705: write_tb("\\pi",tb);
1706: else if ( !strcmp(((FUNC)FA0(f))->name,"@e") )
1707: write_tb("e",tb);
1708: else {
1709: opname = conv_rule(((FUNC)FA0(f))->name);
1710: write_tb(opname,tb);
1711: write_tb("(",tb);
1712: fargstotex_tb(opname,FA1(f),tb);
1713: write_tb(")",tb);
1714: }
1.23 noro 1715: break;
1716:
1717: /* XXX */
1718: case I_CAR:
1.28 noro 1719: opname = conv_rule("car");
1.23 noro 1720: write_tb(opname,tb);
1721: write_tb("(",tb);
1722: fargstotex_tb(opname,FA0(f),tb);
1723: write_tb(")",tb);
1724: break;
1725:
1726: case I_CDR:
1.28 noro 1727: opname = conv_rule("cdr");
1.23 noro 1728: write_tb(opname,tb);
1729: write_tb("(",tb);
1730: fargstotex_tb(opname,FA0(f),tb);
1731: write_tb(")",tb);
1732: break;
1733:
1734: /* exponent vector */
1735: case I_EV:
1736: n = (NODE)FA0(f);
1.31 noro 1737: if ( dp_vars_hweyl ) {
1738: elen = length(n);
1739: elen2 = elen>>1;
1740: elen = elen2<<1;
1741: }
1.23 noro 1742: allzero = 1;
1.27 noro 1743: if ( show_lt && is_lt )
1744: write_tb("\\underline{",tb);
1.23 noro 1745: for ( t0 = 0, i = 0; n; n = NEXT(n), i++ ) {
1746: fi = (FNODE)BDY(n);
1747: if ( fi->id == I_FORMULA && !FA0(fi) ) continue;
1748: allzero = 0;
1.38 noro 1749: if ( dp_vars && i < dp_vars_len ) {
1750: strcpy(vname,dp_vars[i]);
1751: vname_conv = conv_rule(vname);
1752: } else {
1753: if ( dp_vars_hweyl ) {
1.44 noro 1754: if ( i < elen2 ) {
1.38 noro 1755: strcpy(prefix,dp_vars_prefix?dp_vars_prefix:"x");
1.44 noro 1756: prefix_conv = conv_rule(prefix);
1757: vname_conv = (char *)ALLOCA(strlen(prefix_conv)+50);
1.46 noro 1758: si = i+dp_vars_origin;
1759: sprintf(vname_conv,(si>=0&&si<10)?"%s_%d":"%s_{%d}",
1760: prefix_conv,si);
1.44 noro 1761: } else if ( i < elen ) {
1.46 noro 1762: strcpy(prefix,
1763: dp_dvars_prefix?dp_dvars_prefix:"\\partial");
1.44 noro 1764: prefix_conv = conv_rule(prefix);
1765: vname_conv = (char *)ALLOCA(strlen(prefix_conv)+50);
1.46 noro 1766: si = i+dp_dvars_origin-elen2;
1767: sprintf(vname_conv,(si>=0&&si<10)?"%s_%d":"%s_{%d}",
1768: prefix_conv,si);
1.44 noro 1769: } else {
1.38 noro 1770: strcpy(prefix,"h");
1.44 noro 1771: vname_conv = conv_rule(prefix);
1772: }
1773: } else {
1.38 noro 1774: strcpy(prefix,dp_vars_prefix?dp_vars_prefix:"x");
1.44 noro 1775: prefix_conv = conv_rule(prefix);
1776: vname_conv = (char *)ALLOCA(strlen(prefix_conv)+50);
1.46 noro 1777: si = i+dp_vars_origin;
1778: sprintf(vname_conv,(si>=0&&si<10)?"%s_%d":"%s_{%d}",
1779: prefix_conv,si);
1.44 noro 1780: }
1.38 noro 1781: }
1.23 noro 1782: if ( fi->id == I_FORMULA && UNIQ(FA0(fi)) ) {
1783: len = strlen(vname_conv);
1784: opname = MALLOC_ATOMIC(len+2);
1785: sprintf(opname,"%s ",vname_conv);
1.14 noro 1786: write_tb(opname,tb);
1.23 noro 1787: } else {
1788: len = strlen(vname_conv);
1789: /* 2: ^{ */
1790: opname = MALLOC_ATOMIC(len+1+2);
1791: sprintf(opname,"%s^{",vname_conv);
1.14 noro 1792: write_tb(opname,tb);
1.23 noro 1793: fnodetotex_tb((FNODE)BDY(n),tb);
1794: write_tb("} ",tb);
1795: }
1.14 noro 1796: }
1.23 noro 1797: /* XXX */
1798: if ( allzero )
1799: write_tb(" 1 ",tb);
1.27 noro 1800: if ( show_lt && is_lt ) {
1801: write_tb("}",tb);
1802: is_lt = 0;
1803: }
1.14 noro 1804: break;
1805:
1.23 noro 1806: /* string */
1.14 noro 1807: case I_STR:
1808: write_tb((char *)FA0(f),tb);
1809: break;
1810:
1.23 noro 1811: /* internal object */
1.14 noro 1812: case I_FORMULA:
1.111 noro 1813: objtotex_tb((Obj)FA0(f),tb);
1.14 noro 1814: break;
1815:
1.23 noro 1816: /* program variable */
1.14 noro 1817: case I_PVAR:
1818: if ( FA1(f) )
1819: error("fnodetotex_tb : not implemented yet");
1820: GETPVNAME(FA0(f),opname);
1821: write_tb(opname,tb);
1822: break;
1823:
1824: default:
1825: error("fnodetotex_tb : not implemented yet");
1826: }
1.40 noro 1827: }
1828:
1.111 noro 1829: void objtotex_tb(Obj obj,TB tb)
1830: {
1831: C cplx;
1832: char *r;
1833: P t;
1834: DCP dc;
1835: char *v;
1836:
1837: if ( !obj ) {
1838: write_tb("0",tb);
1839: return;
1840: }
1841: switch ( OID(obj) ) {
1842: case O_N:
1843: switch ( NID(obj) ) {
1844: case N_C:
1845: cplx = (C)obj;
1846: write_tb("(",tb);
1847: if ( cplx->r ) {
1848: r = objtostr((Obj)cplx->r); write_tb(r,tb);
1849: }
1850: if ( cplx->i ) {
1851: if ( cplx->r && compnum(0,cplx->i,0) > 0 ) {
1852: write_tb("+",tb);
1853: if ( !UNIQ(cplx->i) ) {
1854: r = objtostr((Obj)cplx->i); write_tb(r,tb);
1855: }
1856: } else if ( MUNIQ(cplx->i) )
1857: write_tb("-",tb);
1858: else if ( !UNIQ(cplx->i) ) {
1859: r = objtostr((Obj)cplx->i); write_tb(r,tb);
1860: }
1861: write_tb("\\sqrt{-1}",tb);
1862: }
1863: write_tb(")",tb);
1864: break;
1865: default:
1866: write_tb(objtostr(obj),tb);
1867: break;
1868: }
1869: break;
1870: case O_P:
1871: v = conv_rule(VR((P)obj)->name);
1872: for ( dc = DC((P)obj); dc; dc = NEXT(dc) ) {
1873: if ( !DEG(dc) )
1874: objtotex_tb((Obj)COEF(dc),tb);
1875: else {
1876: if ( NUM(COEF(dc)) && UNIQ((Q)COEF(dc)) )
1877: ;
1878: else if ( NUM(COEF(dc)) && MUNIQ((Q)COEF(dc)) )
1879: write_tb("-",tb);
1880: else if ( NUM(COEF(dc)) || !NEXT(DC(COEF(dc))))
1881: objtotex_tb((Obj)COEF(dc),tb);
1882: else {
1883: write_tb("(",tb); objtotex_tb((Obj)COEF(dc),tb);
1884: write_tb(")",tb);
1885: }
1886: write_tb(v,tb);
1887: if ( cmpq(DEG(dc),ONE) ) {
1888: write_tb("^",tb);
1889: if ( INT(DEG(dc)) && SGN(DEG(dc))>0 ) {
1890: write_tb("{",tb);
1891: objtotex_tb((Obj)DEG(dc),tb);
1892: write_tb("}",tb);
1893: } else {
1894: write_tb("{",tb); objtotex_tb((Obj)DEG(dc),tb);
1895: write_tb("}",tb);
1896: }
1897: }
1898: }
1899: if ( NEXT(dc) ) {
1900: t = COEF(NEXT(dc));
1901: if ( !DEG(NEXT(dc)) ) {
1902: if ( NUM(t) ) {
1903: if ( !mmono(t) ) write_tb("+",tb);
1904: } else {
1905: if ( !mmono(COEF(DC(t))) ) write_tb("+",tb);
1906: }
1907: } else {
1908: if ( !mmono(t) ) write_tb("+",tb);
1909: }
1910: }
1911: }
1912: break;
1913: case O_R:
1914: write_tb("\\frac{",tb);
1915: objtotex_tb((Obj)NM((R)obj),tb);
1916: write_tb("}{",tb);
1917: objtotex_tb((Obj)DN((R)obj),tb);
1918: write_tb("}",tb);
1919: break;
1920: default:
1921: write_tb(objtostr(obj),tb);
1922: break;
1923: }
1924: }
1925:
1.40 noro 1926: char *objtostr(Obj obj)
1927: {
1928: int len;
1929: char *r;
1930:
1931: len = estimate_length(CO,obj);
1932: r = (char *)MALLOC_ATOMIC(len+1);
1933: soutput_init(r);
1934: sprintexpr(CO,obj);
1935: return r;
1.50 ohara 1936: }
1937:
1938: void Psprintf(NODE arg,STRING *rp)
1939: {
1940: STRING string;
1941: char *s,*t,*r;
1942: int argc,n,len;
1943: NODE node;
1944:
1945: string = (STRING)ARG0(arg);
1946: asir_assert(string,O_STR,"sprintf");
1947: s = BDY(string);
1948: for(n = 0, t = s; *t; t++) {
1949: if (*t=='%' && *(t+1)=='a') {
1950: n++;
1951: }
1952: }
1953: for(node = NEXT(arg), argc = 0, len = strlen(s); node; node = NEXT(node), argc++) {
1954: len += estimate_length(CO,BDY(node));
1955: }
1956: if (argc < n) {
1957: error("sprintf: invalid argument");
1958: }
1959: r = (char *)MALLOC_ATOMIC(len);
1960: for(node = NEXT(arg), t = r; *s; s++) {
1961: if (*s=='%' && *(s+1)=='a') {
1962: strcpy(t,objtostr(BDY(node)));
1963: node = NEXT(node);
1964: t = strchr(t,0);
1965: s++;
1966: }else {
1967: *t++ = *s;
1968: }
1969: }
1970: *t = 0;
1971: MKSTR(*rp,r);
1.14 noro 1972: }
1973:
1974: void fnodenodetotex_tb(NODE n,TB tb)
1975: {
1976: for ( ; n; n = NEXT(n) ) {
1.27 noro 1977: is_lt = 1;
1.14 noro 1978: fnodetotex_tb((FNODE)BDY(n),tb);
1979: if ( NEXT(n) ) write_tb(", ",tb);
1980: }
1981: }
1982:
1983: void fargstotex_tb(char *name,FNODE f,TB tb)
1984: {
1985: NODE n;
1986:
1987: if ( !strcmp(name,"matrix") ) {
1988: error("fargstotex_tb : not implemented yet");
1989: } else if ( !strcmp(name,"vector") ) {
1990: error("fargstotex_tb : not implemented yet");
1991: } else {
1992: if ( f->id == I_LIST ) {
1993: n = (NODE)FA0(f);
1994: fnodenodetotex_tb(n,tb);
1995: } else
1996: fnodetotex_tb(f,tb);
1.35 noro 1997: }
1998: }
1999:
2000: int top_is_minus(FNODE f)
2001: {
2002: char *opname;
2003: int len;
2004: Obj obj;
2005:
2006: if ( !f )
2007: return 0;
2008: switch ( f->id ) {
2009: case I_MINUS:
2010: return 1;
2011: case I_BOP:
2012: opname = ((ARF)FA0(f))->name;
2013: switch ( opname[0] ) {
2014: case '+': case '*': case '/': case '^': case '%':
2015: return top_is_minus((FNODE)FA1(f));
2016: case '-':
2017: if ( FA1(f) )
2018: return top_is_minus((FNODE)FA1(f));
2019: else
2020: return 1;
2021: default:
2022: return 0;
2023: }
2024: break;
2025: case I_COP:
2026: return top_is_minus((FNODE)FA1(f));
2027: case I_LOP:
2028: if ( (lid)FA0(f) == L_NOT ) return 0;
2029: else return top_is_minus((FNODE)FA1(f));
2030: case I_AND: case I_OR:
2031: return top_is_minus((FNODE)FA0(f));
2032: case I_FORMULA:
2033: obj = (Obj)FA0(f);
1.36 noro 2034: if ( !obj )
2035: return 0;
2036: else {
2037: switch ( OID(obj) ) {
2038: case O_N:
2039: return mmono((P)obj);
2040: case O_P:
1.111 noro 2041: #if 0
1.36 noro 2042: /* must be a variable */
2043: opname = conv_rule(VR((P)obj)->name);
2044: return opname[0]=='-';
1.111 noro 2045: #else
2046: return mmono((P)obj);
2047: #endif
1.36 noro 2048: default:
2049: /* ??? */
2050: len = estimate_length(CO,obj);
2051: opname = (char *)MALLOC_ATOMIC(len+1);
2052: soutput_init(opname);
2053: sprintexpr(CO,obj);
2054: return opname[0]=='-';
2055: }
1.35 noro 2056: }
1.91 noro 2057: case I_NARYOP:
2058: return top_is_minus((FNODE)BDY((NODE)FA1(f)));
2059:
1.35 noro 2060: default:
2061: return 0;
1.14 noro 2062: }
1.47 noro 2063: }
2064:
2065: FNODE flatten_fnode(FNODE,char *);
2066:
1.48 noro 2067: void Pflatten_quote(NODE arg,Obj *rp)
1.47 noro 2068: {
2069: FNODE f;
2070: QUOTE q;
2071:
1.48 noro 2072: if ( !ARG0(arg) || OID((Obj)ARG0(arg)) != O_QUOTE )
2073: *rp = (Obj)ARG0(arg);
1.65 noro 2074: else if ( argc(arg) == 1 ) {
2075: f = flatten_fnode(BDY((QUOTE)ARG0(arg)),"+");
2076: f = flatten_fnode(f,"*");
2077: MKQUOTE(q,f);
2078: *rp = (Obj)q;
2079: } else {
1.48 noro 2080: f = flatten_fnode(BDY((QUOTE)ARG0(arg)),BDY((STRING)ARG1(arg)));
2081: MKQUOTE(q,f);
2082: *rp = (Obj)q;
2083: }
1.63 noro 2084: }
2085:
2086: void Pget_quote_id(NODE arg,Q *rp)
2087: {
2088: FNODE f;
2089: QUOTE q;
2090:
2091: q = (QUOTE)ARG0(arg);
2092: if ( !q || OID(q) != O_QUOTE )
2093: error("get_quote_id : invalid argument");
2094: f = BDY(q);
2095: STOQ((int)f->id,*rp);
1.48 noro 2096: }
2097:
2098: void Pquote_to_funargs(NODE arg,LIST *rp)
2099: {
2100: fid_spec_p spec;
2101: QUOTE q;
2102: QUOTEARG qa;
2103: FNODE f;
2104: STRING s;
2105: QUOTE r;
2106: int i;
2107: Q id,a;
1.49 noro 2108: LIST l;
2109: NODE t0,t,w,u,u0;
1.48 noro 2110:
2111: q = (QUOTE)ARG0(arg);
2112: if ( !q || OID(q) != O_QUOTE )
2113: error("quote_to_funargs : invalid argument");
2114: f = BDY(q);
2115: if ( !f ) {
2116: MKLIST(*rp,0);
2117: return;
2118: }
2119: get_fid_spec(f->id,&spec);
2120: if ( !spec )
2121: error("quote_to_funargs : not supported yet");
2122: t0 = 0;
2123: STOQ((int)f->id,id);
2124: NEXTNODE(t0,t);
2125: BDY(t) = (pointer)id;
2126: for ( i = 0; spec->type[i] != A_end; i++ ) {
2127: NEXTNODE(t0,t);
2128: switch ( spec->type[i] ) {
2129: case A_fnode:
2130: MKQUOTE(r,(FNODE)f->arg[i]);
2131: BDY(t) = (pointer)r;
2132: break;
2133: case A_int:
2134: STOQ((int)f->arg[i],a);
2135: BDY(t) = (pointer)a;
2136: break;
2137: case A_str:
2138: MKSTR(s,(char *)f->arg[i]);
2139: BDY(t) = (pointer)s;
2140: break;
2141: case A_internal:
2142: BDY(t) = (pointer)f->arg[i];
2143: break;
1.49 noro 2144: case A_node:
2145: w = (NODE)f->arg[i];
2146: for ( u0 = 0; w; w = NEXT(w) ){
2147: NEXTNODE(u0,u);
2148: MKQUOTE(r,(FNODE)BDY(w));
2149: BDY(u) = (pointer)r;
2150: }
2151: if ( u0 ) NEXT(u) = 0;
2152: MKLIST(l,u0);
2153: BDY(t) = (pointer)l;
2154: break;
1.48 noro 2155: default:
2156: MKQUOTEARG(qa,spec->type[i],f->arg[i]);
2157: BDY(t) = (pointer)qa;
2158: break;
2159: }
2160: }
2161: if ( t0 ) NEXT(t) = 0;
2162: MKLIST(*rp,t0);
2163: }
2164:
2165: void Pfunargs_to_quote(NODE arg,QUOTE *rp)
2166: {
2167: fid_spec_p spec;
2168: QUOTE q;
2169: QUOTEARG qa;
2170: FNODE f;
2171: STRING s;
1.49 noro 2172: QUOTE r,b;
1.48 noro 2173: int i;
2174: LIST l;
2175: fid id;
2176: Obj a;
1.49 noro 2177: NODE t0,t,u0,u,w;
1.48 noro 2178:
2179: l = (LIST)ARG0(arg);
2180: if ( !l || OID(l) != O_LIST || !(t=BDY(l)) )
2181: error("funargs_to_quote : invalid argument");
2182: t = BDY(l);
2183: id = (fid)QTOS((Q)BDY(t)); t = NEXT(t);
2184: get_fid_spec(id,&spec);
2185: if ( !spec )
2186: error("funargs_to_quote : not supported yet");
2187: for ( i = 0; spec->type[i] != A_end; i++ );
2188: NEWFNODE(f,i);
2189: f->id = id;
2190: for ( i = 0; spec->type[i] != A_end; i++, t = NEXT(t) ) {
2191: if ( !t )
2192: error("funargs_to_quote : argument mismatch");
2193: a = (Obj)BDY(t);
2194: switch ( spec->type[i] ) {
2195: case A_fnode:
2196: if ( !a || OID(a) != O_QUOTE )
2197: error("funargs_to_quote : invalid argument");
2198: f->arg[i] = BDY((QUOTE)a);
2199: break;
2200: case A_int:
2201: if ( !INT(a) )
2202: error("funargs_to_quote : invalid argument");
2203: f->arg[i] = (pointer)QTOS((Q)a);
2204: break;
2205: case A_str:
2206: if ( !a || OID(a) != O_STR )
2207: error("funargs_to_quote : invalid argument");
2208: f->arg[i] = (pointer)BDY((STRING)a);
2209: break;
2210: case A_internal:
2211: f->arg[i] = (pointer)a;
1.49 noro 2212: break;
2213: case A_node:
2214: if ( !a || OID(a) != O_LIST )
2215: error("funargs_to_quote : invalid argument");
2216: u0 = 0;
2217: for ( w = BDY((LIST)a); w; w = NEXT(w) ) {
2218: NEXTNODE(u0,u);
2219: b = (QUOTE)BDY(w);
2220: if ( !b || OID(b) != O_QUOTE )
2221: error("funargs_to_quote : invalid argument");
2222: BDY(u) = BDY(b);
2223: }
2224: if ( u0 ) NEXT(u) = 0;
2225: f->arg[i] = (pointer)u0;
1.48 noro 2226: break;
2227: default:
2228: if ( !a || OID(a) != O_QUOTEARG ||
2229: ((QUOTEARG)a)->type != spec->type[i] )
2230: error("funargs_to_quote : invalid argument");
2231: f->arg[i] = BDY((QUOTEARG)a);
2232: break;
2233: }
2234: }
2235: MKQUOTE(*rp,f);
1.69 noro 2236: }
2237:
1.105 noro 2238: VL reordvars(VL vl0,NODE head)
2239: {
2240: VL vl,svl,tvl;
2241: int i,j;
2242: NODE n;
2243: P t;
2244: V *va;
2245: V v;
2246:
2247: for ( vl = 0, i = 0, n = head; n; n = NEXT(n), i++ ) {
2248: NEXTVL(vl,tvl);
2249: if ( !(t = (P)BDY(n)) || (OID(t) != O_P) )
2250: error("reordvars : invalid argument");
2251: VR(tvl) = VR(t);
2252: }
2253: va = (V *)ALLOCA(i*sizeof(V));
2254: for ( j = 0, svl = vl; j < i; j++, svl = NEXT(svl) )
2255: va[j] = VR(svl);
2256: for ( svl = vl0; svl; svl = NEXT(svl) ) {
2257: v = VR(svl);
2258: for ( j = 0; j < i; j++ )
2259: if ( v == va[j] )
2260: break;
2261: if ( j == i ) {
2262: NEXTVL(vl,tvl);
2263: VR(tvl) = v;
2264: }
2265: }
2266: if ( vl )
2267: NEXT(tvl) = 0;
2268: return vl;
2269: }
2270:
1.109 noro 2271: struct wtab {
2272: V v;
2273: int w;
2274: };
2275:
2276: struct wtab *qt_weight_tab;
1.108 noro 2277: VL qt_current_ord, qt_current_coef;
1.109 noro 2278: LIST qt_current_ord_obj,qt_current_coef_obj,qt_current_weight_obj;
2279: LIST qt_current_weight_obj;
1.105 noro 2280:
2281: void Pqt_set_ord(NODE arg,LIST *rp)
2282: {
2283: NODE r0,r;
2284: VL vl;
2285: P v;
2286:
2287: if ( !argc(arg) )
2288: *rp = qt_current_ord_obj;
1.109 noro 2289: else if ( !ARG0(arg) ) {
2290: qt_current_ord_obj = 0;
2291: qt_current_ord = 0;
2292: } else {
1.105 noro 2293: qt_current_ord = reordvars(CO,BDY((LIST)ARG0(arg)));
2294: for ( r0 = 0, vl = qt_current_ord; vl; vl = NEXT(vl) ) {
2295: NEXTNODE(r0,r); MKV(vl->v,v); BDY(r) = v;
2296: }
2297: if ( r0 ) NEXT(r) = 0;
2298: MKLIST(*rp,r0);
2299: qt_current_ord_obj = *rp;
2300: }
2301: }
2302:
1.109 noro 2303: void Pqt_set_weight(NODE arg,LIST *rp)
2304: {
2305: NODE n,pair;
2306: int l,i;
2307: struct wtab *tab;
2308:
2309: if ( !argc(arg) )
2310: *rp = qt_current_weight_obj;
2311: else if ( !ARG0(arg) ) {
2312: qt_current_weight_obj = 0;
2313: qt_weight_tab = 0;
2314: } else {
2315: n = BDY((LIST)ARG0(arg));
2316: l = length(n);
2317: tab = qt_weight_tab = (struct wtab *)MALLOC((l+1)*sizeof(struct wtab));
2318: for ( i = 0; i < l; i++, n = NEXT(n) ) {
2319: pair = BDY((LIST)BDY(n));
2320: tab[i].v = VR((P)ARG0(pair));
2321: tab[i].w = QTOS((Q)ARG1(pair));
2322: }
2323: tab[i].v = 0;
2324: qt_current_weight_obj = (LIST)ARG0(arg);
2325: *rp = qt_current_weight_obj;
2326: }
2327: }
2328:
1.108 noro 2329: void Pqt_set_coef(NODE arg,LIST *rp)
2330: {
2331: NODE r0,r,n;
2332: VL vl0,vl;
2333: P v;
2334:
2335: if ( !argc(arg) )
2336: *rp = qt_current_coef_obj;
1.109 noro 2337: else if ( !ARG0(arg) ) {
2338: qt_current_coef_obj = 0;
2339: qt_current_coef = 0;
2340: } else {
1.108 noro 2341: n = BDY((LIST)ARG0(arg));
2342: for ( vl0 = 0, r0 = 0; n; n = NEXT(n) ) {
2343: NEXTNODE(r0,r);
2344: NEXTVL(vl0,vl);
2345: vl->v = VR((P)BDY(n));
2346: MKV(vl->v,v); BDY(r) = v;
2347: }
2348: if ( r0 ) NEXT(r) = 0;
2349: if ( vl0 ) NEXT(vl) = 0;
2350: qt_current_coef = vl0;
2351: MKLIST(*rp,r0);
2352: qt_current_coef_obj = *rp;
2353: }
2354: }
2355:
1.105 noro 2356: void Pqt_normalize(NODE arg,QUOTE *rp)
1.70 noro 2357: {
2358: QUOTE q,r;
2359: FNODE f;
1.76 noro 2360: int expand,ac;
1.70 noro 2361:
1.76 noro 2362: ac = argc(arg);
1.105 noro 2363: if ( !ac ) error("qt_normalize : invalid argument");
1.70 noro 2364: q = (QUOTE)ARG0(arg);
1.103 noro 2365: if ( ac == 2 )
2366: expand = QTOS((Q)ARG1(arg));
1.97 noro 2367: if ( !q || OID(q) != O_QUOTE )
1.87 noro 2368: *rp = q;
2369: else {
1.76 noro 2370: f = fnode_normalize(BDY(q),expand);
1.70 noro 2371: MKQUOTE(r,f);
2372: *rp = r;
1.98 noro 2373: }
2374: }
2375:
2376: NBP fnode_to_nbp(FNODE f);
2377:
1.105 noro 2378: void Pqt_to_nbp(NODE arg,NBP *rp)
1.98 noro 2379: {
2380: QUOTE q;
2381: FNODE f;
2382:
2383: q = (QUOTE)ARG0(arg); f = (FNODE)BDY(q);
2384: f = fnode_normalize(f,0);
2385: *rp = fnode_to_nbp(f);
2386: }
2387:
1.101 noro 2388: void Pshuffle_mul(NODE arg,NBP *rp)
1.98 noro 2389: {
2390: NBP p1,p2;
2391:
2392: p1 = (NBP)ARG0(arg);
2393: p2 = (NBP)ARG1(arg);
2394: shuffle_mulnbp(CO,p1,p2,rp);
2395: }
1.99 noro 2396:
1.101 noro 2397: void Pharmonic_mul(NODE arg,NBP *rp)
1.99 noro 2398: {
2399: NBP p1,p2;
2400:
2401: p1 = (NBP)ARG0(arg);
2402: p2 = (NBP)ARG1(arg);
2403: harmonic_mulnbp(CO,p1,p2,rp);
2404: }
2405:
1.100 noro 2406: void Pnbp_hm(NODE arg, NBP *rp)
2407: {
2408: NBP p;
2409: NODE n;
2410: NBM m;
2411:
2412: p = (NBP)ARG0(arg);
2413: if ( !p ) *rp = 0;
2414: else {
2415: m = (NBM)BDY(BDY(p));
2416: MKNODE(n,m,0);
2417: MKNBP(*rp,n);
2418: }
2419: }
2420:
2421: void Pnbp_ht(NODE arg, NBP *rp)
2422: {
2423: NBP p;
2424: NODE n;
2425: NBM m,m1;
2426:
2427: p = (NBP)ARG0(arg);
2428: if ( !p ) *rp = 0;
2429: else {
2430: m = (NBM)BDY(BDY(p));
2431: NEWNBM(m1);
1.115 noro 2432: m1->d = m->d; m1->c = (P)ONE; m1->b = m->b;
1.100 noro 2433: MKNODE(n,m1,0);
2434: MKNBP(*rp,n);
2435: }
2436: }
2437:
1.115 noro 2438: void Pnbp_hc(NODE arg, P *rp)
1.100 noro 2439: {
2440: NBP p;
2441: NBM m;
2442:
2443: p = (NBP)ARG0(arg);
2444: if ( !p ) *rp = 0;
2445: else {
2446: m = (NBM)BDY(BDY(p));
2447: *rp = m->c;
2448: }
2449: }
2450:
2451: void Pnbp_rest(NODE arg, NBP *rp)
2452: {
2453: NBP p;
2454: NODE n;
2455:
2456: p = (NBP)ARG0(arg);
2457: if ( !p ) *rp = 0;
2458: else {
2459: n = BDY(p);
2460: if ( !NEXT(n) ) *rp = 0;
2461: else
2462: MKNBP(*rp,NEXT(n));
2463: }
2464: }
2465:
1.115 noro 2466: void Pnbp_tm(NODE arg, NBP *rp)
2467: {
2468: NBP p;
2469: NODE n;
2470: NBM m;
2471:
2472: p = (NBP)ARG0(arg);
2473: if ( !p ) *rp = 0;
2474: else {
2475: for ( n = BDY(p); NEXT(n); n = NEXT(n) );
2476: m = (NBM)BDY(n);
2477: MKNODE(n,m,0);
2478: MKNBP(*rp,n);
2479: }
2480: }
2481:
2482: void Pnbp_tt(NODE arg, NBP *rp)
2483: {
2484: NBP p;
2485: NODE n;
2486: NBM m,m1;
2487:
2488: p = (NBP)ARG0(arg);
2489: if ( !p ) *rp = 0;
2490: else {
2491: for ( n = BDY(p); NEXT(n); n = NEXT(n) );
2492: m = (NBM)BDY(n);
2493: NEWNBM(m1);
2494: m1->d = m->d; m1->c = (P)ONE; m1->b = m->b;
2495: MKNODE(n,m1,0);
2496: MKNBP(*rp,n);
2497: }
2498: }
2499:
2500: void Pnbp_tc(NODE arg, P *rp)
2501: {
2502: NBP p;
2503: NBM m;
2504: NODE n;
2505:
2506: p = (NBP)ARG0(arg);
2507: if ( !p ) *rp = 0;
2508: else {
2509: for ( n = BDY(p); NEXT(n); n = NEXT(n) );
2510: m = (NBM)BDY(n);
2511: *rp = m->c;
2512: }
2513: }
2514:
2515: void Pnbp_trest(NODE arg, NBP *rp)
2516: {
2517: NBP p;
2518: NODE n,r,r0;
2519:
2520: p = (NBP)ARG0(arg);
2521: if ( !p ) *rp = 0;
2522: else {
2523: n = BDY(p);
2524: for ( r0 = 0; NEXT(n); n = NEXT(n) ) {
2525: NEXTNODE(r0,r);
2526: BDY(r) = (pointer)BDY(n);
2527: }
2528: if ( r0 ) {
2529: NEXT(r) = 0;
2530: MKNBP(*rp,r0);
2531: } else
2532: *rp = 0;
2533: }
2534: }
2535:
1.102 noro 2536: void Pnbm_deg(NODE arg, Q *rp)
1.100 noro 2537: {
2538: NBP p;
2539: NBM m;
1.102 noro 2540:
2541: p = (NBP)ARG0(arg);
2542: if ( !p )
2543: STOQ(-1,*rp);
2544: else {
2545: m = (NBM)BDY(BDY(p));
2546: STOQ(m->d,*rp);
2547: }
2548: }
2549:
1.118 noro 2550: void Pnbm_index(NODE arg, Q *rp)
2551: {
2552: NBP p;
2553: NBM m;
2554: unsigned int *b;
2555: int d,i,r;
2556:
2557: p = (NBP)ARG0(arg);
2558: if ( !p )
2559: STOQ(0,*rp);
2560: else {
2561: m = (NBM)BDY(BDY(p));
2562: d = m->d;
2563: if ( d > 32 )
2564: error("nbm_index : weight too large");
2565: b = m->b;
2566: for ( r = 0, i = d-2; i > 0; i-- )
2567: if ( !NBM_GET(b,i) ) r |= (1<<(d-2-i));
2568: STOQ(r,*rp);
2569: }
2570: }
2571:
1.102 noro 2572: void Pnbm_hp_rest(NODE arg, LIST *rp)
2573: {
2574: NBP p,h,r;
2575: NBM m,m1;
1.100 noro 2576: NODE n;
1.102 noro 2577: int *b,*b1;
2578: int d,d1,v,i,j,k;
1.100 noro 2579:
2580: p = (NBP)ARG0(arg);
1.102 noro 2581: if ( !p )
1.100 noro 2582: MKLIST(*rp,0);
1.102 noro 2583: else {
2584: m = (NBM)BDY(BDY(p));
2585: b = m->b; d = m->d;
1.100 noro 2586: if ( !d )
2587: MKLIST(*rp,0);
2588: else {
1.102 noro 2589: v = NBM_GET(b,0);
1.100 noro 2590: for ( i = 1; i < d; i++ )
1.102 noro 2591: if ( NBM_GET(b,i) != v ) break;
2592: NEWNBM(m1); NEWNBMBDY(m1,i);
1.115 noro 2593: b1 = m1->b; m1->d = i; m1->c = (P)ONE;
1.102 noro 2594: if ( v ) for ( j = 0; j < i; j++ ) NBM_SET(b1,j);
2595: else for ( j = 0; j < i; j++ ) NBM_CLR(b1,j);
2596: MKNODE(n,m1,0); MKNBP(h,n);
2597:
2598: d1 = d-i;
2599: NEWNBM(m1); NEWNBMBDY(m1,d1);
1.115 noro 2600: b1 = m1->b; m1->d = d1; m1->c = (P)ONE;
1.102 noro 2601: for ( j = 0, k = i; j < d1; j++, k++ )
2602: if ( NBM_GET(b,k) ) NBM_SET(b1,j);
2603: else NBM_CLR(b1,j);
2604: MKNODE(n,m1,0); MKNBP(r,n);
2605: n = mknode(2,h,r);
1.100 noro 2606: MKLIST(*rp,n);
2607: }
2608: }
2609: }
2610:
1.102 noro 2611: void Pnbm_hxky(NODE arg, LIST *rp)
2612: {
2613: NBP p;
2614:
2615: p = (NBP)ARG0(arg);
2616: if ( !p )
2617: *rp = 0;
2618: else
2619: separate_xky_nbm((NBM)BDY(BDY(p)),0,rp,0);
2620: }
2621:
2622: void Pnbm_xky_rest(NODE arg,NBP *rp)
1.100 noro 2623: {
2624: NBP p;
2625:
2626: p = (NBP)ARG0(arg);
2627: if ( !p )
2628: *rp = 0;
1.102 noro 2629: else
2630: separate_xky_nbm((NBM)BDY(BDY(p)),0,0,rp);
2631: }
2632:
2633: void Pnbm_hv(NODE arg, NBP *rp)
2634: {
2635: NBP p;
2636:
2637: p = (NBP)ARG0(arg);
2638: if ( !p )
2639: *rp = 0;
2640: else
2641: separate_nbm((NBM)BDY(BDY(p)),0,rp,0);
1.116 noro 2642: }
2643:
1.117 noro 2644: void Pnbm_rest(NODE arg, NBP *rp)
2645: {
2646: NBP p;
2647:
2648: p = (NBP)ARG0(arg);
2649: if ( !p )
2650: *rp = 0;
2651: else
2652: separate_nbm((NBM)BDY(BDY(p)),0,0,rp);
2653: }
2654:
1.116 noro 2655: void Pnbm_tv(NODE arg, NBP *rp)
2656: {
2657: NBP p;
2658:
2659: p = (NBP)ARG0(arg);
2660: if ( !p )
2661: *rp = 0;
1.117 noro 2662: else
2663: separate_tail_nbm((NBM)BDY(BDY(p)),0,0,rp);
1.102 noro 2664: }
2665:
1.117 noro 2666: void Pnbm_trest(NODE arg, NBP *rp)
1.102 noro 2667: {
2668: NBP p;
2669:
2670: p = (NBP)ARG0(arg);
2671: if ( !p )
2672: *rp = 0;
2673: else
1.117 noro 2674: separate_tail_nbm((NBM)BDY(BDY(p)),0,rp,0);
1.100 noro 2675: }
1.98 noro 2676:
2677: NBP fnode_to_nbp(FNODE f)
2678: {
2679: Q r;
2680: int n,i;
2681: NBM m;
2682: V v;
2683: NBP u,u1,u2;
2684: NODE t,b;
2685:
2686: if ( f->id == I_FORMULA ) {
2687: r = eval(f);
2688: NEWNBM(m);
2689: if ( OID(r) == O_N ) {
1.115 noro 2690: m->d = 0; m->c = (P)r; m->b = 0;
1.98 noro 2691: } else {
2692: v = VR((P)r);
1.115 noro 2693: m->d = 1; m->c = (P)ONE; NEWNBMBDY(m,1);
1.98 noro 2694: if ( !strcmp(NAME(v),"x") ) NBM_SET(m->b,0);
2695: else NBM_CLR(m->b,0);
2696: }
2697: MKNODE(b,m,0); MKNBP(u,b);
2698: return u;
2699: } else if ( IS_NARYADD(f) ) {
2700: t = (NODE)FA1(f); u = fnode_to_nbp((FNODE)BDY(t));
2701: for ( t = NEXT(t); t; t = NEXT(t) ) {
2702: u1 = fnode_to_nbp((FNODE)BDY(t));
2703: addnbp(CO,u,u1,&u2); u = u2;
2704: }
2705: return u;
2706: } else if ( IS_NARYMUL(f) ) {
2707: t = (NODE)FA1(f); u = fnode_to_nbp((FNODE)BDY(t));
2708: for ( t = NEXT(t); t; t = NEXT(t) ) {
2709: u1 = fnode_to_nbp((FNODE)BDY(t));
2710: mulnbp(CO,u,u1,&u2); u = u2;
2711: }
2712: return u;
2713: } else if ( IS_BINARYPWR(f) ) {
2714: u = fnode_to_nbp((FNODE)FA1(f));
2715: r = eval((FNODE)FA2(f));
2716: pwrnbp(CO,u,r,&u1);
2717: return u1;
1.70 noro 2718: }
2719: }
2720:
1.111 noro 2721: void Pnqt_weight(NODE arg,Q *rp)
2722: {
2723: QUOTE q;
2724: FNODE f;
2725: int w;
2726:
2727: q = (QUOTE)ARG0(arg); f = (FNODE)BDY(q);
2728: f = fnode_normalize(f,0);
1.112 noro 2729: w = nfnode_weight(qt_weight_tab,f);
1.111 noro 2730: STOQ(w,*rp);
2731: }
2732:
1.105 noro 2733: void Pnqt_comp(NODE arg,Q *rp)
1.80 noro 2734: {
1.87 noro 2735: QUOTE q1,q2;
1.80 noro 2736: FNODE f1,f2;
2737: int r;
2738:
1.87 noro 2739: q1 = (QUOTE)ARG0(arg); f1 = (FNODE)BDY(q1);
2740: q2 = (QUOTE)ARG1(arg); f2 = (FNODE)BDY(q2);
1.97 noro 2741: f1 = fnode_normalize(f1,0);
2742: f2 = fnode_normalize(f2,0);
1.95 noro 2743: r = nfnode_comp(f1,f2);
1.80 noro 2744: STOQ(r,*rp);
2745: }
2746:
1.108 noro 2747: int fnode_is_var(FNODE f)
2748: {
2749: Obj obj;
2750: VL vl,t,s;
2751: DCP dc;
2752:
2753: if ( fnode_is_coef(f) ) return 0;
2754: switch ( f->id ) {
2755: case I_PAREN:
2756: return fnode_is_var(FA0(f));
2757:
2758: case I_FORMULA:
2759: obj = FA0(f);
2760: if ( obj && OID(obj) == O_P ) {
2761: dc = DC((P)obj);
2762: if ( !cmpq(DEG(dc),ONE) && !NEXT(dc)
2763: && !arf_comp(CO,(Obj)COEF(dc),(Obj)ONE) ) return 1;
2764: else return 0;
2765: } else return 0;
2766:
2767: default:
2768: return 0;
2769: }
2770: }
2771:
2772: int fnode_is_coef(FNODE f)
2773: {
2774: Obj obj;
2775: VL vl,t,s;
2776:
2777: switch ( f->id ) {
2778: case I_MINUS: case I_PAREN:
2779: return fnode_is_coef(FA0(f));
2780:
2781: case I_FORMULA:
2782: obj = FA0(f);
2783: if ( !obj ) return 1;
2784: else if ( OID(obj) == O_QUOTE )
2785: return fnode_is_coef(BDY((QUOTE)obj));
2786: else if ( NUM(obj) ) return 1;
2787: else if ( OID(obj) == O_P || OID(obj) == O_R) {
2788: get_vars_recursive(obj,&vl);
2789: for ( t = vl; t; t = NEXT(t) ) {
1.111 noro 2790: if ( t->v->attr == (pointer)V_PF ) continue;
1.108 noro 2791: for ( s = qt_current_coef; s; s = NEXT(s) )
2792: if ( t->v == s->v ) break;
1.111 noro 2793: if ( !s )
2794: return 0;
1.108 noro 2795: }
2796: return 1;
2797: } else return 0;
2798:
2799: case I_BOP:
2800: return fnode_is_coef(FA1(f)) && fnode_is_coef(FA2(f));
2801:
2802: default:
2803: return 0;
2804: }
2805: }
2806:
2807: int fnode_is_number(FNODE f)
1.69 noro 2808: {
2809: Obj obj;
2810:
2811: switch ( f->id ) {
2812: case I_MINUS: case I_PAREN:
2813: return fnode_is_number(FA0(f));
2814:
2815: case I_FORMULA:
2816: obj = FA0(f);
2817: if ( !obj ) return 1;
2818: else if ( OID(obj) == O_QUOTE )
2819: return fnode_is_number(BDY((QUOTE)obj));
2820: else if ( NUM(obj) ) return 1;
2821: else return 0;
2822:
2823: case I_BOP:
2824: return fnode_is_number(FA1(f)) && fnode_is_number(FA2(f));
2825:
2826: default:
2827: return 0;
2828: }
2829: }
2830:
2831: int fnode_is_rational(FNODE f)
2832: {
2833: Obj obj;
2834:
2835: switch ( f->id ) {
2836: case I_MINUS: case I_PAREN:
2837: return fnode_is_number(FA0(f));
2838:
2839: case I_FORMULA:
2840: obj = FA0(f);
2841: if ( !obj ) return 1;
2842: else if ( OID(obj) == O_QUOTE )
2843: return fnode_is_rational(BDY((QUOTE)obj));
2844: else if ( NUM(obj) && RATN(obj) ) return 1;
2845: else return 0;
2846:
2847: case I_BOP:
2848: if ( !strcmp(((ARF)FA0(f))->name,"^") )
2849: return fnode_is_rational(FA1(f)) && fnode_is_integer(FA2(f));
2850: else
2851: return fnode_is_rational(FA1(f)) && fnode_is_rational(FA2(f));
2852:
2853: default:
2854: return 0;
2855: }
2856: }
2857:
2858: int fnode_is_integer(FNODE f)
2859: {
2860: Obj obj;
2861:
2862: switch ( f->id ) {
2863: case I_MINUS: case I_PAREN:
2864: return fnode_is_integer(FA0(f));
2865:
2866: case I_FORMULA:
2867: obj = FA0(f);
2868: if ( !obj ) return 1;
2869: else if ( OID(obj) == O_QUOTE )
2870: return fnode_is_integer(BDY((QUOTE)obj));
2871: else if ( INT(obj)) return 1;
2872: else return 0;
2873:
2874: case I_BOP:
1.70 noro 2875: switch ( ((ARF)FA0(f))->name[0] ) {
2876: case '^':
2877: return fnode_is_integer(FA1(f))
2878: && fnode_is_nonnegative_integer(FA2(f));
2879: case '/':
2880: return fnode_is_integer(FA1(f)) &&
2881: ( fnode_is_one(FA2(f)) || fnode_is_minusone(FA2(f)) );
2882: default:
2883: return fnode_is_integer(FA1(f)) && fnode_is_integer(FA2(f));
2884: }
2885: break;
2886:
1.69 noro 2887: default:
2888: return 0;
2889: }
2890: }
2891:
2892: int fnode_is_nonnegative_integer(FNODE f)
2893: {
2894: Q n;
2895:
2896: n = eval(f);
2897: if ( !n || (INT(n) && SGN(n) > 0) ) return 1;
2898: else return 0;
2899: }
2900:
2901: int fnode_is_one(FNODE f)
2902: {
2903: Q n;
2904:
2905: n = eval(f);
2906: if ( UNIQ(n) ) return 1;
2907: else return 0;
2908: }
2909:
2910: int fnode_is_minusone(FNODE f)
2911: {
2912: Q n;
2913:
2914: n = eval(f);
2915: if ( MUNIQ(n) ) return 1;
2916: else return 0;
2917: }
2918:
2919: int fnode_is_dependent(FNODE f,V v)
2920: {
2921: Obj obj;
2922: FNODE arg;
2923: NODE t;
2924:
2925: switch ( f->id ) {
2926: case I_MINUS: case I_PAREN:
2927: return fnode_is_dependent(FA0(f),v);
2928:
2929: case I_FORMULA:
2930: obj = FA0(f);
2931: if ( !obj ) return 0;
2932: else if ( OID(obj) == O_QUOTE )
2933: return fnode_is_dependent(BDY((QUOTE)obj),v);
2934: else if ( obj_is_dependent(obj,v) ) return 1;
2935: else return 0;
2936:
2937: case I_BOP:
2938: return fnode_is_dependent(FA1(f),v) || fnode_is_dependent(FA2(f),v);
2939:
2940: case I_FUNC:
2941: arg = (FNODE)FA1(f);
2942: for ( t = FA0(arg); t; t = NEXT(t) )
2943: if ( fnode_is_dependent(BDY(t),v) ) return 1;
2944: return 0;
2945:
2946: default:
2947: return 0;
2948: }
1.1 noro 2949: }
1.70 noro 2950:
1.72 noro 2951:
1.76 noro 2952: FNODE fnode_normalize(FNODE f,int expand)
1.70 noro 2953: {
1.73 noro 2954: FNODE a1,a2,mone,r,b2;
1.72 noro 2955: NODE n;
1.70 noro 2956: Q q;
2957:
1.103 noro 2958: if ( f->normalized && (f->expanded == expand) ) return f;
1.72 noro 2959: STOQ(-1,q);
2960: mone = mkfnode(1,I_FORMULA,q);
1.70 noro 2961: switch ( f->id ) {
2962: case I_PAREN:
1.89 noro 2963: r = fnode_normalize(FA0(f),expand);
2964: break;
1.71 noro 2965:
2966: case I_MINUS:
1.108 noro 2967: r = nfnode_mul_coef((Obj)q,
1.76 noro 2968: fnode_normalize(FA0(f),expand),expand);
1.89 noro 2969: break;
1.71 noro 2970:
1.70 noro 2971: case I_BOP:
2972: /* arf fnode fnode */
1.76 noro 2973: a1 = fnode_normalize(FA1(f),expand);
2974: a2 = fnode_normalize(FA2(f),expand);
1.72 noro 2975: switch ( OPNAME(f) ) {
2976: case '+':
1.95 noro 2977: r = nfnode_add(a1,a2,expand);
1.89 noro 2978: break;
1.70 noro 2979: case '-':
1.108 noro 2980: a2 = nfnode_mul_coef((Obj)q,a2,expand);
1.95 noro 2981: r = nfnode_add(a1,a2,expand);
1.89 noro 2982: break;
1.72 noro 2983: case '*':
1.95 noro 2984: r = nfnode_mul(a1,a2,expand);
1.89 noro 2985: break;
1.70 noro 2986: case '/':
1.95 noro 2987: a2 = nfnode_pwr(a2,mone,expand);
2988: r = nfnode_mul(a1,a2,expand);
1.89 noro 2989: break;
1.73 noro 2990: case '^':
1.95 noro 2991: r = nfnode_pwr(a1,a2,expand);
1.89 noro 2992: break;
1.70 noro 2993: default:
1.89 noro 2994: r = mkfnode(3,I_BOP,FA0(f),a1,a2);
2995: break;
1.70 noro 2996: }
2997: break;
1.71 noro 2998:
1.70 noro 2999: case I_NARYOP:
1.72 noro 3000: switch ( OPNAME(f) ) {
1.71 noro 3001: case '+':
1.73 noro 3002: n = (NODE)FA1(f);
1.76 noro 3003: r = fnode_normalize(BDY(n),expand); n = NEXT(n);
1.72 noro 3004: for ( ; n; n = NEXT(n) ) {
1.76 noro 3005: a1 = fnode_normalize(BDY(n),expand);
1.95 noro 3006: r = nfnode_add(r,a1,expand);
1.72 noro 3007: }
1.89 noro 3008: break;
1.70 noro 3009: case '*':
1.73 noro 3010: n = (NODE)FA1(f);
1.76 noro 3011: r = fnode_normalize(BDY(n),expand); n = NEXT(n);
1.72 noro 3012: for ( ; n; n = NEXT(n) ) {
1.76 noro 3013: a1 = fnode_normalize(BDY(n),expand);
1.95 noro 3014: r = nfnode_mul(r,a1,expand);
1.72 noro 3015: }
1.89 noro 3016: break;
1.70 noro 3017: default:
1.72 noro 3018: error("fnode_normallize : cannot happen");
1.70 noro 3019: }
1.89 noro 3020: break;
1.72 noro 3021:
1.70 noro 3022: default:
1.76 noro 3023: return fnode_apply(f,fnode_normalize,expand);
1.70 noro 3024: }
1.89 noro 3025: r->normalized = 1;
3026: r->expanded = expand;
3027: return r;
1.70 noro 3028: }
3029:
1.76 noro 3030: FNODE fnode_apply(FNODE f,FNODE (*func)(),int expand)
1.70 noro 3031: {
3032: fid_spec_p spec;
3033: FNODE r;
3034: int i,n;
3035: NODE t,t0,s;
3036:
3037: get_fid_spec(f->id,&spec);
3038: for ( n = 0; spec->type[n] != A_end; n++ );
3039: NEWFNODE(r,n); r->id = f->id;
3040: for ( i = 0; i < n; i++ ) {
3041: switch ( spec->type[i] ) {
3042: case A_fnode:
1.78 noro 3043: r->arg[i] = func(f->arg[i],expand);
1.70 noro 3044: break;
3045: case A_node:
3046: s = (NODE)f->arg[i];
3047: for ( t0 = 0; s; s = NEXT(s) ) {
3048: NEXTNODE(t0,t);
1.76 noro 3049: BDY(t) = (pointer)func((FNODE)BDY(s),expand);
1.70 noro 3050: }
3051: if ( t0 ) NEXT(t) = 0;
3052: r->arg[i] = t0;
3053: break;
3054: default:
3055: r->arg[i] = f->arg[i];
3056: break;
3057: }
3058: }
3059: return r;
3060: }
3061:
1.95 noro 3062: FNODE nfnode_add(FNODE f1,FNODE f2,int expand)
1.71 noro 3063: {
1.72 noro 3064: NODE n1,n2,r0,r;
3065: FNODE b1,b2;
3066: int s;
1.108 noro 3067: Obj c1,c2,c;
1.72 noro 3068:
1.77 noro 3069: if ( IS_ZERO(f1) ) return f2;
3070: else if ( IS_ZERO(f2) ) return f1;
1.75 noro 3071: f1 = to_naryadd(f1); f2 = to_naryadd(f2);
3072: n1 = (NODE)FA1(f1); n2 = (NODE)FA1(f2);
1.72 noro 3073: r0 = 0;
3074: while ( n1 && n2 ) {
1.75 noro 3075: fnode_coef_body(BDY(n1),&c1,&b1); fnode_coef_body(BDY(n2),&c2,&b2);
1.95 noro 3076: if ( (s = nfnode_comp(b1,b2)) > 0 ) {
1.73 noro 3077: NEXTNODE(r0,r); BDY(r) = BDY(n1); n1 = NEXT(n1);
1.72 noro 3078: } else if ( s < 0 ) {
1.73 noro 3079: NEXTNODE(r0,r); BDY(r) = BDY(n2); n2 = NEXT(n2);
1.72 noro 3080: } else {
1.108 noro 3081: arf_add(CO,c1,c2,&c);
1.72 noro 3082: if ( c ) {
1.95 noro 3083: NEXTNODE(r0,r); BDY(r) = nfnode_mul_coef(c,b1,expand);
1.71 noro 3084: }
1.72 noro 3085: n1 = NEXT(n1); n2 = NEXT(n2);
1.71 noro 3086: }
3087: }
1.72 noro 3088: if ( n1 )
3089: if ( r0 ) NEXT(r) = n1;
3090: else r0 = n1;
3091: else if ( n2 )
3092: if ( r0 ) NEXT(r) = n2;
3093: else r0 = n2;
3094: else if ( r0 )
3095: NEXT(r) = 0;
3096:
1.106 noro 3097: return fnode_node_to_nary(addfs,r0);
1.75 noro 3098: }
3099:
1.106 noro 3100: FNODE fnode_node_to_nary(ARF op,NODE n)
1.75 noro 3101: {
1.106 noro 3102: if ( !n ) {
3103: if ( op->name[0] == '+' )
3104: return mkfnode(1,I_FORMULA,0);
3105: else
3106: return mkfnode(1,I_FORMULA,ONE);
3107: } else if ( !NEXT(n) ) return BDY(n);
3108: else return mkfnode(2,I_NARYOP,op,n);
1.71 noro 3109: }
3110:
1.95 noro 3111: FNODE nfnode_mul(FNODE f1,FNODE f2,int expand)
1.71 noro 3112: {
1.72 noro 3113: NODE n1,n2,r0,r,r1;
1.76 noro 3114: FNODE b1,b2,e1,e2,cc,t,t1;
1.72 noro 3115: FNODE *m;
3116: int s;
1.109 noro 3117: Obj c1,c2,c,e;
1.75 noro 3118: int l1,l,i,j;
1.72 noro 3119:
1.77 noro 3120: if ( IS_ZERO(f1) || IS_ZERO(f2) ) return mkfnode(1,I_FORMULA,0);
1.108 noro 3121: else if ( fnode_is_coef(f1) )
3122: return nfnode_mul_coef((Obj)eval(f1),f2,expand);
3123: else if ( fnode_is_coef(f2) )
3124: return nfnode_mul_coef((Obj)eval(f2),f1,expand);
1.76 noro 3125:
3126: if ( expand && IS_NARYADD(f1) ) {
3127: t = mkfnode(1,I_FORMULA,0);
3128: for ( n1 = (NODE)FA1(f1); n1; n1 = NEXT(n1) ) {
1.95 noro 3129: t1 = nfnode_mul(BDY(n1),f2,expand);
3130: t = nfnode_add(t,t1,expand);
1.76 noro 3131: }
3132: return t;
3133: }
3134: if ( expand && IS_NARYADD(f2) ) {
3135: t = mkfnode(1,I_FORMULA,0);
3136: for ( n2 = (NODE)FA1(f2); n2; n2 = NEXT(n2) ) {
1.95 noro 3137: t1 = nfnode_mul(f1,BDY(n2),expand);
3138: t = nfnode_add(t,t1,expand);
1.76 noro 3139: }
3140: return t;
3141: }
1.72 noro 3142:
1.75 noro 3143: fnode_coef_body(f1,&c1,&b1); fnode_coef_body(f2,&c2,&b2);
1.108 noro 3144: arf_mul(CO,c1,c2,&c);
1.72 noro 3145: if ( !c ) return mkfnode(1,I_FORMULA,0);
1.71 noro 3146:
1.76 noro 3147:
1.75 noro 3148: n1 = (NODE)FA1(to_narymul(b1)); n2 = (NODE)FA1(to_narymul(b2));
3149: l1 = length(n1); l = l1+length(n2);
1.72 noro 3150: m = (FNODE *)ALLOCA(l*sizeof(FNODE));
3151: for ( r = n1, i = 0; i < l1; r = NEXT(r), i++ ) m[i] = BDY(r);
3152: for ( r = n2; r; r = NEXT(r) ) {
1.113 noro 3153: if ( i == 0 )
1.72 noro 3154: m[i++] = BDY(r);
3155: else {
1.75 noro 3156: fnode_base_exp(m[i-1],&b1,&e1); fnode_base_exp(BDY(r),&b2,&e2);
3157: if ( compfnode(b1,b2) ) break;
1.109 noro 3158: arf_add(CO,eval(e1),eval(e2),&e);
1.75 noro 3159: if ( !e ) i--;
1.113 noro 3160: else if ( expand == 2 ) {
3161: if ( INT(e) && SGN((Q)e) < 0 ) {
3162: t1 = mkfnode(3,I_BOP,pwrfs,b1,mkfnode(1,I_FORMULA,e));
3163: /* r=(r0|rest)->(r0,t1|rest) */
3164: t = BDY(r);
3165: MKNODE(r1,t1,NEXT(r));
3166: MKNODE(r,t,r1);
3167: i--;
3168: } else
3169: m[i++] = BDY(r);
3170: } else if ( UNIQ(e) )
1.75 noro 3171: m[i-1] = b1;
3172: else
3173: m[i-1] = mkfnode(3,I_BOP,pwrfs,b1,mkfnode(1,I_FORMULA,e));
1.71 noro 3174: }
3175: }
1.75 noro 3176: for ( j = i-1; j >= 0; j-- ) {
3177: MKNODE(r1,m[j],r); r = r1;
3178: }
3179: if ( !UNIQ(c) ) {
3180: cc = mkfnode(1,I_FORMULA,c); MKNODE(r1,cc,r); r = r1;
1.72 noro 3181: }
1.106 noro 3182: return fnode_node_to_nary(mulfs,r);
1.73 noro 3183: }
3184:
1.95 noro 3185: FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand)
1.73 noro 3186: {
1.89 noro 3187: FNODE b,b1,e1,e,cc,r,mf2,mone,inv;
1.108 noro 3188: Obj c,c1;
3189: Num nf2;
1.89 noro 3190: int ee;
3191: NODE arg,n,t0,t1;
1.76 noro 3192: Q q;
1.73 noro 3193:
1.77 noro 3194: if ( IS_ZERO(f2) ) return mkfnode(1,I_FORMULA,ONE);
3195: else if ( IS_ZERO(f1) ) return mkfnode(1,I_FORMULA,0);
1.108 noro 3196: else if ( fnode_is_coef(f1) ) {
1.73 noro 3197: if ( fnode_is_integer(f2) ) {
1.92 noro 3198: if ( fnode_is_one(f2) ) return f1;
3199: else {
1.108 noro 3200: arf_pwr(CO,eval(f1),(Obj)eval(f2),&c);
1.92 noro 3201: return mkfnode(1,I_FORMULA,c);
3202: }
1.108 noro 3203: } else {
3204: f1 = mkfnode(1,I_FORMULA,eval(f1));
1.73 noro 3205: return mkfnode(3,I_BOP,pwrfs,f1,f2);
1.108 noro 3206: }
1.92 noro 3207: } else if ( IS_BINARYPWR(f1) ) {
1.73 noro 3208: b1 = FA1(f1); e1 = FA2(f1);
1.95 noro 3209: e = nfnode_mul(e1,f2,expand);
1.73 noro 3210: if ( fnode_is_one(e) )
3211: return b1;
3212: else
3213: return mkfnode(3,I_BOP,FA0(f1),b1,e);
1.92 noro 3214: } else if ( expand && IS_NARYMUL(f1) && fnode_is_number(f2)
3215: && fnode_is_integer(f2) ) {
1.73 noro 3216: fnode_coef_body(f1,&c1,&b1);
1.89 noro 3217: nf2 = (Num)eval(f2);
1.108 noro 3218: arf_pwr(CO,c1,(Obj)nf2,&c);
1.89 noro 3219: ee = QTOS((Q)nf2);
1.75 noro 3220: cc = mkfnode(1,I_FORMULA,c);
1.89 noro 3221: if ( fnode_is_nonnegative_integer(f2) )
1.103 noro 3222: b = fnode_expand_pwr(b1,ee,expand);
1.89 noro 3223: else {
3224: STOQ(-1,q);
3225: mone = mkfnode(1,I_FORMULA,q);
1.92 noro 3226: b1 = to_narymul(b1);
1.89 noro 3227: for ( t0 = 0, n = (NODE)FA1(b1); n; n = NEXT(n) ) {
3228: inv = mkfnode(3,I_BOP,pwrfs,BDY(n),mone);
3229: MKNODE(t1,inv,t0); t0 = t1;
3230: }
1.106 noro 3231: b1 = fnode_node_to_nary(mulfs,t0);
1.103 noro 3232: b = fnode_expand_pwr(b1,-ee,expand);
1.89 noro 3233: }
1.75 noro 3234: if ( fnode_is_one(cc) )
3235: return b;
3236: else
1.106 noro 3237: return fnode_node_to_nary(mulfs,mknode(2,cc,b));
1.82 noro 3238: } else if ( expand && fnode_is_integer(f2)
3239: && fnode_is_nonnegative_integer(f2) ) {
1.76 noro 3240: q = (Q)eval(f2);
1.95 noro 3241: if ( PL(NM(q)) > 1 ) error("nfnode_pwr : exponent too large");
1.103 noro 3242: return fnode_expand_pwr(f1,QTOS(q),expand);
1.73 noro 3243: } else
3244: return mkfnode(3,I_BOP,pwrfs,f1,f2);
1.72 noro 3245: }
3246:
1.103 noro 3247: FNODE fnode_expand_pwr(FNODE f,int n,int expand)
1.76 noro 3248: {
1.103 noro 3249: int n1,i;
3250: FNODE f1,f2,fn;
3251: Q q;
1.76 noro 3252:
3253: if ( !n ) return mkfnode(1,I_FORMULA,ONE);
1.77 noro 3254: else if ( IS_ZERO(f) ) return mkfnode(1,I_FORMULA,0);
1.76 noro 3255: else if ( n == 1 ) return f;
3256: else {
1.103 noro 3257: switch ( expand ) {
3258: case 1:
3259: n1 = n/2;
3260: f1 = fnode_expand_pwr(f,n1,expand);
3261: f2 = nfnode_mul(f1,f1,expand);
3262: if ( n%2 ) f2 = nfnode_mul(f2,f,1);
3263: return f2;
3264: case 2:
3265: for ( i = 1, f1 = f; i < n; i++ )
3266: f1 = nfnode_mul(f1,f,expand);
3267: return f1;
3268: case 0: default:
3269: STOQ(n,q);
3270: fn = mkfnode(1,I_FORMULA,q);
3271: return mkfnode(3,I_BOP,pwrfs,f,fn);
3272: }
1.76 noro 3273: }
3274: }
3275:
1.72 noro 3276: /* f = b^e */
3277: void fnode_base_exp(FNODE f,FNODE *bp,FNODE *ep)
3278: {
1.75 noro 3279: if ( IS_BINARYPWR(f) ) {
1.72 noro 3280: *bp = FA1(f); *ep = FA2(f);
3281: } else {
3282: *bp = f; *ep = mkfnode(1,I_FORMULA,ONE);
3283: }
3284: }
3285:
3286: FNODE to_naryadd(FNODE f)
3287: {
3288: FNODE r;
3289: NODE n;
3290:
1.75 noro 3291: if ( IS_NARYADD(f) ) return f;
3292:
3293: NEWFNODE(r,2); r->id = I_NARYOP;
3294: FA0(r) = addfs; MKNODE(n,f,0); FA1(r) = n;
1.72 noro 3295: return r;
3296: }
3297:
3298: FNODE to_narymul(FNODE f)
3299: {
3300: FNODE r;
3301: NODE n;
3302:
1.75 noro 3303: if ( IS_NARYMUL(f) ) return f;
3304:
3305: NEWFNODE(r,2); r->id = I_NARYOP;
3306: FA0(r) = mulfs; MKNODE(n,f,0); FA1(r) = n;
1.72 noro 3307: return r;
3308: }
3309:
1.108 noro 3310: FNODE nfnode_mul_coef(Obj c,FNODE f,int expand)
1.72 noro 3311: {
1.76 noro 3312: FNODE b1,cc;
1.108 noro 3313: Obj c1,c2;
1.76 noro 3314: NODE n,r,r0;
1.72 noro 3315:
3316: if ( !c )
3317: return mkfnode(I_FORMULA,0);
1.75 noro 3318: else {
3319: fnode_coef_body(f,&c1,&b1);
1.108 noro 3320: arf_mul(CO,c,c1,&c2);
1.75 noro 3321: if ( UNIQ(c2) ) return b1;
3322: else {
3323: cc = mkfnode(1,I_FORMULA,c2);
3324: if ( fnode_is_number(b1) ) {
3325: if ( !fnode_is_one(b1) )
1.95 noro 3326: error("nfnode_mul_coef : cannot happen");
1.75 noro 3327: else
3328: return cc;
1.76 noro 3329: } else if ( IS_NARYMUL(b1) ) {
1.75 noro 3330: MKNODE(n,cc,FA1(b1));
1.106 noro 3331: return fnode_node_to_nary(mulfs,n);
1.76 noro 3332: } else if ( expand && IS_NARYADD(b1) ) {
3333: for ( r0 = 0, n = (NODE)FA1(b1); n; n = NEXT(n) ) {
3334: NEXTNODE(r0,r);
1.95 noro 3335: BDY(r) = nfnode_mul_coef(c2,BDY(n),expand);
1.76 noro 3336: }
3337: if ( r0 ) NEXT(r) = 0;
1.106 noro 3338: return fnode_node_to_nary(addfs,r0);
1.76 noro 3339: } else
1.106 noro 3340: return fnode_node_to_nary(mulfs,mknode(2,cc,b1));
1.72 noro 3341: }
1.71 noro 3342: }
3343: }
3344:
1.108 noro 3345: void fnode_coef_body(FNODE f,Obj *cp,FNODE *bp)
1.70 noro 3346: {
1.72 noro 3347: FNODE c;
1.70 noro 3348:
1.108 noro 3349: if ( fnode_is_coef(f) ) {
3350: *cp = (Obj)eval(f); *bp = mkfnode(1,I_FORMULA,ONE);
1.75 noro 3351: } else if ( IS_NARYMUL(f) ) {
3352: c=(FNODE)BDY((NODE)FA1(f));
1.108 noro 3353: if ( fnode_is_coef(c) ) {
3354: *cp = (Obj)eval(c);
1.106 noro 3355: *bp = fnode_node_to_nary(mulfs,NEXT((NODE)FA1(f)));
1.70 noro 3356: } else {
1.108 noro 3357: *cp = (Obj)ONE; *bp = f;
1.70 noro 3358: }
3359: } else {
1.108 noro 3360: *cp = (Obj)ONE; *bp = f;
1.70 noro 3361: }
1.80 noro 3362: }
3363:
1.109 noro 3364: int nfnode_weight(struct wtab *tab,FNODE f)
3365: {
3366: NODE n;
3367: int w,w1;
3368: int i;
3369: Q a2;
3370: V v;
3371:
3372: switch ( f->id ) {
3373: case I_FORMULA:
3374: if ( fnode_is_coef(f) ) return 0;
3375: else if ( fnode_is_var(f) ) {
1.113 noro 3376: if ( !tab ) return 0;
1.109 noro 3377: v = VR((P)FA0(f));
3378: for ( i = 0; tab[i].v; i++ )
3379: if ( v == tab[i].v ) return tab[i].w;
1.113 noro 3380: return 0;
1.109 noro 3381: } else return 0;
3382:
3383: /* XXX */
3384: case I_PVAR: return 1;
3385: /* XXX */
3386: case I_FUNC: I_FUNC: I_FUNC_QARG:
3387: /* w(f) = 1 */
3388: /* w(f(a1,...,an)=w(a1)+...+w(an) */
3389: n = FA0((FNODE)FA1(f));
3390: for ( w = 0; n; n = NEXT(n) )
3391: w += nfnode_weight(tab,BDY(n));
3392: return w;
3393: case I_NARYOP:
3394: n = (NODE)FA1(f);
3395: if ( IS_NARYADD(f) )
3396: for ( w = nfnode_weight(tab,BDY(n)),
3397: n = NEXT(n); n; n = NEXT(n) ) {
3398: w1 = nfnode_weight(tab,BDY(n));
3399: w = MAX(w,w1);
3400: }
3401: else
3402: for ( w = 0; n; n = NEXT(n) )
3403: w += nfnode_weight(tab,BDY(n));
3404: return w;
3405: case I_BOP:
3406: /* must be binary power */
3407: /* XXX w(2^x)=0 ? */
3408: if ( fnode_is_rational(FA2(f)) ) {
3409: a2 = (Q)eval(FA2(f));
3410: w = QTOS(a2);
3411: } else
3412: w = nfnode_weight(tab,FA2(f));
3413: return nfnode_weight(tab,FA1(f))*w;
3414: default:
3415: error("nfnode_weight : not_implemented");
3416: }
3417: }
3418:
1.95 noro 3419: int nfnode_comp(FNODE f1,FNODE f2)
1.80 noro 3420: {
1.109 noro 3421: int w1,w2;
3422:
3423: if ( qt_weight_tab ) {
3424: w1 = nfnode_weight(qt_weight_tab,f1);
3425: w2 = nfnode_weight(qt_weight_tab,f2);
3426: if ( w1 > w2 ) return 1;
3427: if ( w1 < w2 ) return -1;
3428: }
1.110 noro 3429: return nfnode_comp_lex(f1,f2);
3430: }
3431:
3432: int nfnode_comp_lex(FNODE f1,FNODE f2)
3433: {
3434: NODE n1,n2;
3435: int r,i1,i2,ret;
3436: char *nm1,*nm2;
1.114 noro 3437: FNODE b1,b2,e1,e2,g,a1,a2,fn1,fn2,h1,h2;
1.110 noro 3438: Num ee,ee1;
3439: Obj c1,c2;
3440: int w1,w2;
1.80 noro 3441:
3442: if ( IS_NARYADD(f1) || IS_NARYADD(f2) ) {
3443: f1 = to_naryadd(f1); f2 = to_naryadd(f2);
3444: n1 = (NODE)FA1(f1); n2 = (NODE)FA1(f2);
1.114 noro 3445: for ( ; n1 && n2; n1 = NEXT(n1), n2 = NEXT(n2) ) {
3446: r = nfnode_comp_lex(BDY(n1),BDY(n2));
3447: if ( r ) return r;
3448: }
3449: if ( !n1 && !n2 ) return 0;
3450: h1 = n1 ? (FNODE)BDY(n1) : mkfnode(1,I_FORMULA,0);
3451: h2 = n2 ? (FNODE)BDY(n2) : mkfnode(1,I_FORMULA,0);
3452: return nfnode_comp_lex(h1,h2);
1.80 noro 3453: }
3454: if ( IS_NARYMUL(f1) || IS_NARYMUL(f2) ) {
1.83 noro 3455: fnode_coef_body(f1,&c1,&b1);
3456: fnode_coef_body(f2,&c2,&b2);
1.108 noro 3457: if ( !compfnode(b1,b2) ) return arf_comp(CO,c1,c2);
1.83 noro 3458: b1 = to_narymul(b1); b2 = to_narymul(b2);
3459: n1 = (NODE)FA1(b1); n2 = (NODE)FA1(b2);
1.114 noro 3460: for ( ; n1 && n2; n1 = NEXT(n1), n2 = NEXT(n2) ) {
3461: r = nfnode_comp_lex(BDY(n1),BDY(n2));
3462: if ( r ) return r;
3463: }
3464: if ( !n1 && !n2 ) return 0;
3465: h1 = n1 ? (FNODE)BDY(n1) : mkfnode(1,I_FORMULA,ONE);
3466: h2 = n2 ? (FNODE)BDY(n2) : mkfnode(1,I_FORMULA,ONE);
3467: return nfnode_comp_lex(h1,h2);
1.80 noro 3468: }
1.110 noro 3469: if ( IS_BINARYPWR(f1) || IS_BINARYPWR(f2) ) {
3470: fnode_base_exp(f1,&b1,&e1);
3471: fnode_base_exp(f2,&b2,&e2);
3472: if ( r = nfnode_comp_lex(b1,b2) ) {
3473: if ( r > 0 )
3474: return nfnode_comp_lex(e1,mkfnode(1,I_FORMULA,0));
3475: else if ( r < 0 )
3476: return nfnode_comp_lex(mkfnode(1,I_FORMULA,0),e2);
3477: } else return nfnode_comp_lex(e1,e2);
3478: }
1.80 noro 3479:
1.95 noro 3480: /* now, IDs of f1 and f2 must be I_FORMULA, I_FUNC, I_IFUNC or I_PVAR */
1.106 noro 3481: /* I_IFUNC > I_PVAR > I_FUNC=I_FUNC_QARG > I_FORMULA */
1.80 noro 3482: switch ( f1->id ) {
3483: case I_FORMULA:
3484: switch ( f2->id ) {
3485: case I_FORMULA:
1.105 noro 3486: return arf_comp(qt_current_ord?qt_current_ord:CO,FA0(f1),FA0(f2));
1.95 noro 3487: case I_FUNC: case I_IFUNC: case I_PVAR:
1.80 noro 3488: return -1;
3489: default:
1.110 noro 3490: error("nfnode_comp_lex : undefined");
1.80 noro 3491: }
3492: break;
1.106 noro 3493: case I_FUNC: case I_FUNC_QARG:
1.80 noro 3494: switch ( f2->id ) {
3495: case I_FORMULA:
3496: return 1;
1.95 noro 3497: case I_PVAR: case I_IFUNC:
3498: return -1;
1.106 noro 3499: case I_FUNC: case I_FUNC_QARG:
1.82 noro 3500: nm1 = ((FUNC)FA0(f1))->name; nm2 = ((FUNC)FA0(f2))->name;
3501: r = strcmp(nm1,nm2);
3502: if ( r > 0 ) return 1;
3503: else if ( r < 0 ) return -1;
1.80 noro 3504: else {
3505: /* compare args */
3506: n1 = FA0((FNODE)FA1(f1)); n2 = FA0((FNODE)FA1(f2));
3507: while ( n1 && n2 )
1.110 noro 3508: if ( r = nfnode_comp_lex(BDY(n1),BDY(n2)) ) return r;
1.82 noro 3509: else {
3510: n1 = NEXT(n1); n2 = NEXT(n2);
3511: }
1.85 noro 3512: return n1?1:(n2?-1:0);
1.80 noro 3513: }
3514: break;
3515: default:
1.110 noro 3516: error("nfnode_comp_lex : undefined");
1.80 noro 3517: }
3518: case I_PVAR:
3519: switch ( f2->id ) {
1.106 noro 3520: case I_FORMULA: case I_FUNC: case I_FUNC_QARG:
1.80 noro 3521: return 1;
1.95 noro 3522: case I_IFUNC:
3523: return -1;
1.80 noro 3524: case I_PVAR:
3525: i1 = (int)FA0(f1); i2 = (int)FA0(f2);
3526: if ( i1 > i2 ) return 1;
3527: else if ( i1 < i2 ) return -1;
3528: else return 0;
3529: default:
1.110 noro 3530: error("nfnode_comp_lex : undefined");
1.95 noro 3531: }
3532: break;
3533: case I_IFUNC:
3534: switch ( f2->id ) {
1.106 noro 3535: case I_FORMULA: case I_FUNC: case I_FUNC_QARG: case I_PVAR:
1.95 noro 3536: return 1;
3537: case I_IFUNC:
3538: i1 = (int)FA0((FNODE)FA0(f1));
3539: i2 = (int)FA0((FNODE)FA0(f2));
3540: if ( i1 > i2 ) return 1;
3541: else if ( i1 < i2 ) return -1;
3542: else {
3543: /* compare args */
3544: n1 = FA0((FNODE)FA1(f1)); n2 = FA0((FNODE)FA1(f2));
3545: while ( n1 && n2 )
1.110 noro 3546: if ( r = nfnode_comp_lex(BDY(n1),BDY(n2)) ) return r;
1.95 noro 3547: else {
3548: n1 = NEXT(n1); n2 = NEXT(n2);
3549: }
3550: return n1?1:(n2?-1:0);
3551: }
3552: break;
3553:
3554: default:
1.110 noro 3555: error("nfnode_comp_lex : undefined");
1.80 noro 3556: }
3557: break;
3558: default:
1.110 noro 3559: error("nfnode_comp_lex : undefined");
1.80 noro 3560: }
1.70 noro 3561: }
1.87 noro 3562:
1.88 noro 3563: NODE append_node(NODE a1,NODE a2)
3564: {
3565: NODE t,t0;
3566:
3567: if ( !a1 )
3568: return a2;
3569: else {
3570: for ( t0 = 0; a1; a1 = NEXT(a1) ) {
3571: NEXTNODE(t0,t); BDY(t) = BDY(a1);
3572: }
3573: NEXT(t) = a2;
3574: return t0;
3575: }
3576: }
3577:
1.95 noro 3578: int nfnode_match(FNODE f,FNODE pat,NODE *rp)
1.87 noro 3579: {
3580: NODE m,m1,m2,base,exp,fa,pa,n;
3581: LIST l;
3582: QUOTE qp,qf;
1.96 noro 3583: FNODE fbase,fexp,a,fh;
1.87 noro 3584: FUNC ff,pf;
3585: int r;
3586:
1.97 noro 3587: if ( !pat )
3588: if ( !f ) {
3589: *rp = 0;
3590: return 1;
3591: } else
3592: return 0;
3593: else if ( !f )
3594: return 0;
1.87 noro 3595: switch ( pat->id ) {
3596: case I_PVAR:
3597: /* [[pat,f]] */
1.103 noro 3598: *rp = mknode(1,mknode(2,(int)FA0(pat),f));
1.87 noro 3599: return 1;
3600:
3601: case I_FORMULA:
1.93 noro 3602: if ( f->id == I_FORMULA && !arf_comp(CO,(Obj)FA0(f),(Obj)FA0(pat)) ) {
1.87 noro 3603: *rp = 0; return 1;
3604: } else
3605: return 0;
3606:
3607: case I_BOP:
3608: /* OPNAME should be "^" */
3609: if ( !IS_BINARYPWR(pat) )
1.95 noro 3610: error("nfnode_match : invalid BOP");
1.87 noro 3611: if ( IS_BINARYPWR(f) ) {
3612: fbase = FA1(f); fexp = FA2(f);
3613: } else {
3614: fbase = f; fexp = mkfnode(1,I_FORMULA,ONE);
3615: }
1.95 noro 3616: if ( !nfnode_match(fbase,FA1(pat),&base) ) return 0;
1.106 noro 3617: a = rewrite_fnode(FA2(pat),base,0);
1.95 noro 3618: if ( !nfnode_match(fexp,a,&exp) ) return 0;
1.88 noro 3619: else {
3620: *rp = append_node(base,exp);
3621: return 1;
3622: }
1.87 noro 3623: break;
3624:
1.95 noro 3625: case I_FUNC: case I_IFUNC:
1.87 noro 3626: if ( f->id != I_FUNC ) return 0;
1.95 noro 3627: ff = (FUNC)FA0(f);
3628: if ( pat->id == I_FUNC ) {
3629: pf = (FUNC)FA0(pat);
3630: if ( strcmp(ff->fullname,pf->fullname) ) return 0;
3631: m = 0;
3632: } else {
1.96 noro 3633: /* XXX : I_FUNC_HEAD is a dummy id to pass FUNC */
3634: fh = mkfnode(1,I_FUNC_HEAD,FA0(f));
3635: m = mknode(1,mknode(2,FA0((FNODE)FA0(pat)),fh),0);
1.95 noro 3636: }
1.87 noro 3637: /* FA1(f) and FA1(pat) are I_LIST */
3638: fa = (NODE)FA0((FNODE)FA1(f));
3639: pa = (NODE)FA0((FNODE)FA1(pat));
3640: while ( fa && pa ) {
1.106 noro 3641: a = rewrite_fnode(BDY(pa),m,0);
1.95 noro 3642: if ( !nfnode_match(BDY(fa),a,&m1) ) return 0;
1.88 noro 3643: m = append_node(m1,m);
3644: fa = NEXT(fa); pa = NEXT(pa);
1.87 noro 3645: }
3646: if ( fa || pa ) return 0;
3647: else {
3648: *rp = m;
3649: return 1;
3650: }
3651:
3652: case I_NARYOP:
3653: if ( IS_NARYADD(pat) )
1.95 noro 3654: return nfnode_match_naryadd(f,pat,rp);
1.87 noro 3655: else if ( IS_NARYMUL(pat) )
1.95 noro 3656: return nfnode_match_narymul(f,pat,rp);
1.87 noro 3657: else
1.95 noro 3658: error("nfnode_match : invalid NARYOP");
1.87 noro 3659: break;
3660:
3661: default:
1.95 noro 3662: error("nfnode_match : invalid pattern");
1.87 noro 3663: }
3664: }
3665:
1.88 noro 3666: /* remove i-th element */
1.87 noro 3667:
1.88 noro 3668: FNODE fnode_removeith_naryadd(FNODE p,int i)
3669: {
3670: int k,l;
3671: NODE t,r0,r,a;
3672:
3673: a = (NODE)FA1(p);
3674: l = length(a);
3675: if ( i < 0 || i >= l ) error("fnode_removeith_naryadd: invalid index");
3676: else if ( i == 0 )
1.106 noro 3677: return fnode_node_to_nary(addfs,NEXT(a));
1.88 noro 3678: else {
3679: for ( r0 = 0, k = 0, t = a; k < i; k++, t = NEXT(t) ) {
3680: NEXTNODE(r0,r);
3681: BDY(r) = BDY(t);
3682: }
1.94 noro 3683: NEXT(r) = NEXT(t);
1.106 noro 3684: return fnode_node_to_nary(addfs,r0);
1.88 noro 3685: }
3686:
3687: }
1.87 noro 3688:
1.88 noro 3689: /* a0,...,a(i-1) */
3690: FNODE fnode_left_narymul(FNODE p,int i)
1.87 noro 3691: {
1.88 noro 3692: int k,l;
3693: NODE t,r0,r,a;
3694:
3695: a = (NODE)FA1(p);
3696: l = length(a);
3697: if ( i < 0 || i >= l ) error("fnode_left_narymul : invalid index");
1.97 noro 3698: if ( i == 0 ) return 0;
1.88 noro 3699: else if ( i == 1 ) return (FNODE)BDY(a);
3700: else {
3701: for ( r0 = 0, k = 0, t = a; k < i; k++, t = NEXT(t) ) {
3702: NEXTNODE(r0,r);
3703: BDY(r) = BDY(t);
3704: }
3705: NEXT(r) = 0;
1.106 noro 3706: return fnode_node_to_nary(mulfs,r0);
1.88 noro 3707: }
3708: }
3709:
3710: /* a(i+1),...,a(l-1) */
3711: FNODE fnode_right_narymul(FNODE p,int i)
3712: {
3713: NODE a,t;
3714: int l,k;
3715:
3716: a = (NODE)FA1(p);
3717: l = length(a);
3718: if ( i < 0 || i >= l ) error("fnode_right_narymul : invalid index");
1.97 noro 3719: if ( i == l-1 ) return 0;
1.88 noro 3720: else {
3721: for ( k = 0, t = a; k <= i; k++, t = NEXT(t) );
1.106 noro 3722: return fnode_node_to_nary(mulfs,t);
1.88 noro 3723: }
3724: }
3725:
1.95 noro 3726: int nfnode_match_naryadd(FNODE f,FNODE p,NODE *rp)
1.88 noro 3727: {
3728: int fl,pl,fi,pi;
3729: NODE fa,pa,t,s,m,m1;
3730: FNODE fr,pr,prr,pivot;
1.87 noro 3731:
3732: f = to_naryadd(f);
1.88 noro 3733: fa = (NODE)FA1(f); fl = length(fa);
3734: pa = (NODE)FA1(p); pl = length(pa);
3735: if ( fl < pl ) return 0;
3736: else if ( pl == 1 ) {
3737: if ( fl == 1 )
1.95 noro 3738: return nfnode_match(BDY(fa),BDY(pa),rp);
1.87 noro 3739: else
3740: return 0;
3741: } else {
1.88 noro 3742: for ( t = pa, pi = 0; t; t = NEXT(t), pi++ )
3743: if ( ((FNODE)BDY(t))->id != I_PVAR ) break;
3744: if ( !t ) {
3745: /* all are I_PVAR */
3746: m = 0;
3747: for ( t = pa, s = fa; NEXT(t); t = NEXT(t), s = NEXT(s) ) {
1.95 noro 3748: nfnode_match(BDY(s),BDY(t),&m1);
1.88 noro 3749: m = append_node(m1,m);
3750: }
3751: if ( !NEXT(s) )
3752: fr = (FNODE)BDY(s);
3753: else
3754: fr = mkfnode(2,I_NARYOP,FA0(f),s);
1.95 noro 3755: nfnode_match(fr,BDY(t),&m1);
1.88 noro 3756: *rp = append_node(m1,m);
3757: return 1;
3758: } else {
3759: pivot = (FNODE)BDY(t);
3760: pr = fnode_removeith_naryadd(p,pi);
3761: for ( s = fa, fi = 0; s; s = NEXT(s), fi++ ) {
1.95 noro 3762: if ( nfnode_match(BDY(s),pivot,&m) ) {
1.88 noro 3763: fr = fnode_removeith_naryadd(f,fi);
1.106 noro 3764: prr = rewrite_fnode(pr,m,0);
1.95 noro 3765: if ( nfnode_match(fr,prr,&m1) ) {
1.88 noro 3766: *rp = append_node(m,m1);
3767: return 1;
3768: }
3769: }
3770: }
3771: return 0;
3772: }
1.87 noro 3773: }
3774: }
3775:
1.95 noro 3776: int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp)
1.88 noro 3777: {
3778: int fl,pl,fi,pi;
3779: NODE fa,pa,t,s,m,m1;
3780: FNODE fr,pr,pleft,pleft1,pright,pright1,fleft,fright,pivot;
3781:
3782: f = to_narymul(f);
3783: fa = (NODE)FA1(f); fl = length(fa);
3784: pa = (NODE)FA1(p); pl = length(pa);
3785: if ( fl < pl ) return 0;
3786: else if ( pl == 1 ) {
3787: if ( fl == 1 )
1.95 noro 3788: return nfnode_match(BDY(fa),BDY(pa),rp);
1.88 noro 3789: else
3790: return 0;
3791: } else {
3792: for ( t = pa, pi = 0; t; t = NEXT(t), pi++ )
3793: if ( ((FNODE)BDY(t))->id != I_PVAR ) break;
3794: if ( !t ) {
3795: /* all are I_PVAR */
3796: m = 0;
3797: for ( t = pa, s = fa; NEXT(t); t = NEXT(t), s = NEXT(s) ) {
1.106 noro 3798: pr = rewrite_fnode(BDY(t),m,0);
1.95 noro 3799: if ( !nfnode_match(BDY(s),pr,&m1) ) return 0;
1.88 noro 3800: m = append_node(m1,m);
3801: }
3802: if ( !NEXT(s) )
3803: fr = (FNODE)BDY(s);
3804: else
3805: fr = mkfnode(2,I_NARYOP,FA0(f),s);
1.106 noro 3806: pr = rewrite_fnode(BDY(t),m,0);
1.95 noro 3807: if ( !nfnode_match(fr,pr,&m1) ) return 0;
1.88 noro 3808: *rp = append_node(m1,m);
3809: return 1;
3810: } else {
3811: pivot = (FNODE)BDY(t);
3812: pleft = fnode_left_narymul(p,pi);
3813: pright = fnode_right_narymul(p,pi);
3814: /* XXX : incomplete */
3815: for ( s = fa, fi = 0; s; s = NEXT(s), fi++ ) {
1.97 noro 3816: if ( fi < pi ) continue;
1.95 noro 3817: if ( nfnode_match(BDY(s),pivot,&m) ) {
1.88 noro 3818: fleft = fnode_left_narymul(f,fi);
1.106 noro 3819: pleft1 = rewrite_fnode(pleft,m,0);
1.95 noro 3820: if ( nfnode_match(fleft,pleft1,&m1) ) {
1.88 noro 3821: m = append_node(m1,m);
3822: fright = fnode_right_narymul(f,fi);
1.106 noro 3823: pright1 = rewrite_fnode(pright,m,0);
1.95 noro 3824: if ( nfnode_match(fright,pright1,&m1) ) {
1.88 noro 3825: *rp = append_node(m1,m);
3826: return 1;
3827: }
3828: }
3829: }
3830: }
3831: return 0;
3832: }
1.95 noro 3833: }
3834: }
3835:
3836: NODE nfnode_pvars(FNODE pat,NODE found)
3837: {
3838: int ind;
3839: NODE prev,t;
3840: int *pair;
3841:
3842: switch ( pat->id ) {
3843: case I_PVAR:
3844: ind = (int)FA0(pat);
3845: for ( prev = 0, t = found; t; prev = t, t = NEXT(t) ) {
3846: pair = (int *)BDY(t);
3847: if ( pair[0] == ind ) {
3848: pair[1]++;
3849: return found;
3850: }
3851: }
3852: pair = (int *)MALLOC_ATOMIC(sizeof(int)*2);
3853: pair[0] = ind; pair[1] = 1;
3854: if ( !prev )
3855: MKNODE(found,pair,0);
3856: else
3857: MKNODE(NEXT(prev),pair,0);
3858: return found;
3859:
3860: case I_FORMULA:
3861: return found;
3862:
3863: case I_BOP:
3864: /* OPNAME should be "^" */
3865: if ( !IS_BINARYPWR(pat) )
3866: error("nfnode_pvar : invalid BOP");
3867: found = nfnode_pvars(FA1(pat),found);
3868: found = nfnode_pvars(FA2(pat),found);
3869: return found;
3870:
3871: case I_FUNC:
3872: t = (NODE)FA0((FNODE)FA1(pat));
3873: for ( ; t; t = NEXT(t) )
3874: found = nfnode_pvars(BDY(t),found);
3875: return found;
3876:
3877: case I_NARYOP:
3878: t = (NODE)FA1(pat);
3879: for ( ; t; t = NEXT(t) )
3880: found = nfnode_pvars(BDY(t),found);
3881: return found;
3882:
3883: default:
3884: error("nfnode_match : invalid pattern");
1.88 noro 3885: }
3886: }