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Annotation of OpenXM_contrib2/asir2000/engine/R.c, Revision 1.6

1.2       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
1.3       noro       26:  * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
1.2       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:  *
1.6     ! noro       48:  * $OpenXM: OpenXM_contrib2/asir2000/engine/R.c,v 1.5 2005/08/24 06:28:39 noro Exp $
1.2       noro       49: */
1.1       noro       50: #include "ca.h"
                     51:
                     52: void addr(vl,a,b,c)
                     53: VL vl;
                     54: Obj a,b,*c;
                     55: {
1.6     ! noro       56:   P t,s,u;
        !            57:   R r;
1.1       noro       58:
1.6     ! noro       59:   if ( !a )
        !            60:     *c = b;
        !            61:   else if ( !b )
        !            62:     *c = a;
        !            63:   else if ( !RAT(a) )
        !            64:     if ( !RAT(b) )
        !            65:       addp(vl,(P)a,(P)b,(P *)c);
        !            66:     else {
        !            67:       mulp(vl,(P)a,DN((R)b),&t); addp(vl,t,NM((R)b),&s);
        !            68:       if ( s )
        !            69:         MKRAT(s,DN((R)b),((R)b)->reduced,r);
        !            70:       else
        !            71:         r = 0;
        !            72:       *c = (Obj)r;
        !            73:     }
        !            74:   else if ( !RAT(b) ) {
        !            75:     mulp(vl,DN((R)a),(P)b,&t); addp(vl,NM((R)a),t,&s);
        !            76:     if ( s )
        !            77:       MKRAT(s,DN((R)a),((R)a)->reduced,r);
        !            78:     else
        !            79:       r = 0;
        !            80:     *c = (Obj)r;
        !            81:   } else {
        !            82:     mulp(vl,NM((R)a),DN((R)b),&t); mulp(vl,NM((R)b),DN((R)a),&s);
        !            83:     addp(vl,t,s,&u);
        !            84:     if ( u ) {
        !            85:       mulp(vl,DN((R)a),DN((R)b),&t); MKRAT(u,t,0,r); *c = (Obj)r;
        !            86:     } else
        !            87:       *c = 0;
        !            88:   }
1.1       noro       89: }
                     90:
                     91: void subr(vl,a,b,c)
                     92: VL vl;
                     93: Obj a,b,*c;
                     94: {
1.6     ! noro       95:   P t,s,u;
        !            96:   R r;
1.1       noro       97:
1.6     ! noro       98:   if ( !a )
        !            99:     chsgnr(b,c);
        !           100:   else if ( !b )
        !           101:     *c = a;
        !           102:   else if ( !RAT(a) )
        !           103:     if ( !RAT(b) )
        !           104:       subp(vl,(P)a,(P)b,(P *)c);
        !           105:     else {
        !           106:       mulp(vl,(P)a,DN((R)b),&t); subp(vl,t,NM((R)b),&s);
        !           107:       if ( s )
        !           108:         MKRAT(s,DN((R)b),((R)b)->reduced,r);
        !           109:       else
        !           110:         r = 0;
        !           111:       *c = (Obj)r;
        !           112:     }
        !           113:   else if ( !RAT(b) ) {
        !           114:     mulp(vl,DN((R)a),(P)b,&t); subp(vl,NM((R)a),t,&s);
        !           115:     if ( s )
        !           116:       MKRAT(s,DN((R)a),((R)a)->reduced,r);
        !           117:     else
        !           118:       r = 0;
        !           119:     *c = (Obj)r;
        !           120:   } else {
        !           121:     mulp(vl,NM((R)a),DN((R)b),&t); mulp(vl,NM((R)b),DN((R)a),&s);
        !           122:     subp(vl,t,s,&u);
        !           123:     if ( u ) {
        !           124:       mulp(vl,DN((R)a),DN((R)b),&t); MKRAT(u,t,0,r); *c = (Obj)r;
        !           125:     } else
        !           126:       *c = 0;
        !           127:   }
1.1       noro      128: }
                    129:
                    130: void mulr(vl,a,b,c)
                    131: VL vl;
                    132: Obj a,b,*c;
                    133: {
1.6     ! noro      134:   P t,s;
        !           135:   R r;
1.1       noro      136:
1.6     ! noro      137:   if ( !a || !b )
        !           138:     *c = 0;
        !           139:   else if ( !RAT(a) )
        !           140:     if ( !RAT(b) )
        !           141:       mulp(vl,(P)a,(P)b,(P *)c);
        !           142:     else {
        !           143:       mulp(vl,(P)a,NM((R)b),&t); MKRAT(t,DN((R)b),0,r); *c = (Obj)r;
        !           144:     }
        !           145:   else if ( !RAT(b) ) {
        !           146:     mulp(vl,NM((R)a),(P)b,&t); MKRAT(t,DN((R)a),0,r); *c = (Obj)r;
        !           147:   } else {
        !           148:     mulp(vl,NM((R)a),NM((R)b),&t); mulp(vl,DN((R)a),DN((R)b),&s);
        !           149:     MKRAT(t,s,0,r); *c = (Obj)r;
        !           150:   }
1.1       noro      151: }
                    152:
                    153: void divr(vl,a,b,c)
                    154: VL vl;
                    155: Obj a,b,*c;
                    156: {
1.6     ! noro      157:   P t,s;
        !           158:   R r;
1.1       noro      159:
1.6     ! noro      160:   if ( !b )
        !           161:     error("divr : division by 0");
        !           162:   else if ( !a )
        !           163:     *c = 0;
        !           164:   else if ( !RAT(a) )
        !           165:     if ( !RAT(b) )
        !           166:       if ( NUM(b) )
        !           167:         divsp(vl,(P)a,(P)b,(P *)c);
        !           168:       else {
        !           169:         MKRAT((P)a,(P)b,0,r); *c = (Obj)r;
        !           170:       }
        !           171:     else {
        !           172:       mulp(vl,(P)a,DN((R)b),&t); MKRAT(t,NM((R)b),0,r); *c = (Obj)r;
        !           173:     }
        !           174:   else if ( !RAT(b) ) {
        !           175:     mulp(vl,DN((R)a),(P)b,&t); MKRAT(NM((R)a),t,0,r); *c = (Obj)r;
        !           176:   } else {
        !           177:     mulp(vl,NM((R)a),DN((R)b),&t); mulp(vl,DN((R)a),NM((R)b),&s);
        !           178:     MKRAT(t,s,0,r); *c = (Obj)r;
        !           179:   }
1.1       noro      180: }
                    181:
                    182: void pwrr(vl,a,q,c)
                    183: VL vl;
                    184: Obj a,q,*c;
                    185: {
1.6     ! noro      186:   P t,s;
        !           187:   R r;
        !           188:   Q q1;
        !           189:
        !           190:   if ( !q )
        !           191:     *c = (Obj)ONE;
        !           192:   else if ( !a )
        !           193:     *c = 0;
        !           194:   else if ( !NUM(q) || !RATN(q) || !INT(q) )
        !           195:     notdef(vl,a,q,c);
        !           196:   else if ( !RAT(a) && (SGN((Q)q) > 0) ) {
        !           197:       pwrp(vl,(P)a,(Q)q,&t); *c = (Obj)t;
        !           198:   } else {
        !           199:     if ( !RAT(a) ) {
        !           200:       PTOR((P)a,r); a = (Obj)r;
        !           201:     }
        !           202:     if ( SGN((Q)q) < 0 ) {
        !           203:       chsgnq((Q)q,&q1); pwrp(vl,DN((R)a),q1,&t); pwrp(vl,NM((R)a),q1,&s);
        !           204:     } else {
        !           205:       pwrp(vl,NM((R)a),(Q)q,&t); pwrp(vl,DN((R)a),(Q)q,&s);
        !           206:     }
        !           207:     MKRAT(t,s,((R)a)->reduced,r); *c = (Obj)r;
        !           208:   }
1.1       noro      209: }
                    210:
                    211: void chsgnr(a,b)
                    212: Obj a,*b;
                    213: {
1.6     ! noro      214:   P t;
        !           215:   R r;
1.1       noro      216:
1.6     ! noro      217:   if ( !a )
        !           218:     *b = 0;
        !           219:   else if ( !RAT(a) )
        !           220:     chsgnp((P)a,(P *)b);
        !           221:   else {
        !           222:     chsgnp(NM((R)a),&t); MKRAT(t,DN((R)a),((R)a)->reduced,r); *b = (Obj)r;
        !           223:   }
1.1       noro      224: }
                    225:
                    226: int compr(vl,a,b)
                    227: VL vl;
                    228: Obj a,b;
                    229: {
1.6     ! noro      230:   int t;
1.1       noro      231:
1.6     ! noro      232:   if ( !a )
        !           233:     return b ? -1 : 0;
        !           234:   else if ( !b )
        !           235:     return 1;
        !           236:   else if ( !RAT(a) )
        !           237:     return !RAT(b) ? compp(vl,(P)a,(P)b) : -1;
        !           238:   else if ( !RAT(b) )
        !           239:     return 1;
        !           240:   else {
        !           241:     t = compp(vl,NM((R)a),NM((R)b));
        !           242:     if ( !t )
        !           243:       t = compp(vl,DN((R)a),DN((R)b));
        !           244:     return t;
        !           245:   }
1.4       noro      246: }
                    247:
                    248: int equalr(vl,a,b)
                    249: VL vl;
                    250: Obj a,b;
                    251: {
1.6     ! noro      252:   if ( !a )
        !           253:     return b ? 0 : 1;
        !           254:   else if ( !b )
        !           255:     return 0;
        !           256:   else if ( !RAT(a) )
        !           257:     return !RAT(b) ? equalp(vl,(P)a,(P)b) : 0;
        !           258:   else if ( !RAT(b) )
        !           259:     return 0;
        !           260:   else
        !           261:     return equalp(vl,NM((R)a),NM((R)b)) && equalp(vl,DN((R)a),DN((R)b));
1.1       noro      262: }

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