=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/pdiv.c,v retrieving revision 1.1.1.1 retrieving revision 1.10 diff -u -p -r1.1.1.1 -r1.10 --- OpenXM_contrib2/asir2000/builtin/pdiv.c 1999/12/03 07:39:07 1.1.1.1 +++ OpenXM_contrib2/asir2000/builtin/pdiv.c 2018/03/29 01:32:50 1.10 @@ -1,9 +1,57 @@ -/* $OpenXM: OpenXM/src/asir99/builtin/pdiv.c,v 1.1.1.1 1999/11/10 08:12:26 noro Exp $ */ +/* + * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED + * All rights reserved. + * + * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited, + * non-exclusive and royalty-free license to use, copy, modify and + * redistribute, solely for non-commercial and non-profit purposes, the + * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and + * conditions of this Agreement. For the avoidance of doubt, you acquire + * only a limited right to use the SOFTWARE hereunder, and FLL or any + * third party developer retains all rights, including but not limited to + * copyrights, in and to the SOFTWARE. + * + * (1) FLL does not grant you a license in any way for commercial + * purposes. You may use the SOFTWARE only for non-commercial and + * non-profit purposes only, such as academic, research and internal + * business use. + * (2) The SOFTWARE is protected by the Copyright Law of Japan and + * international copyright treaties. If you make copies of the SOFTWARE, + * with or without modification, as permitted hereunder, you shall affix + * to all such copies of the SOFTWARE the above copyright notice. + * (3) An explicit reference to this SOFTWARE and its copyright owner + * shall be made on your publication or presentation in any form of the + * results obtained by use of the SOFTWARE. + * (4) In the event that you modify the SOFTWARE, you shall notify FLL by + * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification + * for such modification or the source code of the modified part of the + * SOFTWARE. + * + * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL + * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND + * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS + * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES' + * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY + * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY. + * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT, + * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY + * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL + * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES + * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES + * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY + * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF + * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART + * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY + * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, + * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. + * + * $OpenXM: OpenXM_contrib2/asir2000/builtin/pdiv.c,v 1.9 2006/11/08 07:34:33 noro Exp $ +*/ #include "ca.h" #include "parse.h" -void Psdiv(), Psrem(), Ptdiv(), Psqr(), Pinva_mod(); -void Psdiv_gf2n(), Psrem_gf2n(); +void Psdiv(), Psrem(), Ptdiv(), Psqr(), Pinva_mod(), Pprem(); +void Psdiv_gf2n(), Psrem_gf2n(), Pgcd_gf2n(); void Psdivm(), Psremm(), Psqrm(); void Psrem_mod(); void Pugcd(); @@ -11,346 +59,402 @@ void Purem(); void Pudiv(); struct ftab pdiv_tab[] = { - {"sdiv",Psdiv,-3}, - {"srem",Psrem,-3}, - {"sdiv_gf2n",Psdiv_gf2n,2}, - {"srem_gf2n",Psrem_gf2n,2}, - {"sqr",Psqr,-3}, - {"tdiv",Ptdiv,2}, - {"udiv",Pudiv,2}, - {"sdivm",Psdivm,-4}, - {"sremm",Psremm,-4}, - {"sqrm",Psqrm,-4}, - {"inva_mod",Pinva_mod,3}, - {"srem_mod",Psrem_mod,3}, - {"ugcd",Pugcd,2}, - {"urem",Purem,2}, - {0,0,0}, + {"sdiv",Psdiv,-3}, + {"srem",Psrem,-3}, + {"prem",Pprem,-3}, + {"sdiv_gf2n",Psdiv_gf2n,2}, + {"srem_gf2n",Psrem_gf2n,2}, + {"gcd_gf2n",Pgcd_gf2n,2}, + {"sqr",Psqr,-3}, + {"tdiv",Ptdiv,-3}, + {"udiv",Pudiv,2}, + {"sdivm",Psdivm,-4}, + {"sremm",Psremm,-4}, + {"sqrm",Psqrm,-4}, + {"inva_mod",Pinva_mod,3}, + {"srem_mod",Psrem_mod,3}, + {"ugcd",Pugcd,2}, + {"urem",Purem,2}, + {0,0,0}, }; void Psdiv(arg,rp) NODE arg; Obj *rp; { - P q,r,dnd,dnd1,dvr,dvr1; - V v; - VL vl; + P q,r,dnd,dnd1,dvr,dvr1; + V v; + VL vl; - asir_assert(ARG0(arg),O_P,"sdiv"); - asir_assert(ARG1(arg),O_P,"sdiv"); - dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); - if ( argc(arg) == 3 ) { - v = VR((P)ARG2(arg)); - change_mvar(CO,dnd,v,&dnd1); change_mvar(CO,dvr,v,&dvr1); - reordvar(CO,v,&vl); - divsrp(vl,dnd1,dvr1,&q,&r); - restore_mvar(CO,q,v,(P *)rp); - } else - divsrp(CO,dnd,dvr,(P *)rp,&r); + asir_assert(ARG0(arg),O_P,"sdiv"); + asir_assert(ARG1(arg),O_P,"sdiv"); + dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); + if ( argc(arg) == 3 ) { + v = VR((P)ARG2(arg)); + change_mvar(CO,dnd,v,&dnd1); change_mvar(CO,dvr,v,&dvr1); + reordvar(CO,v,&vl); + divsrp(vl,dnd1,dvr1,&q,&r); + restore_mvar(CO,q,v,(P *)rp); + } else + divsrp(CO,dnd,dvr,(P *)rp,&r); } void Psrem(arg,rp) NODE arg; Obj *rp; { - P q,r,dnd,dnd1,dvr,dvr1; - V v; - VL vl; + P q,r,dnd,dnd1,dvr,dvr1; + V v; + VL vl; - asir_assert(ARG0(arg),O_P,"srem"); - asir_assert(ARG1(arg),O_P,"srem"); - dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); - if ( argc(arg) == 3 ) { - v = VR((P)ARG2(arg)); - change_mvar(CO,dnd,v,&dnd1); change_mvar(CO,dvr,v,&dvr1); - reordvar(CO,v,&vl); - divsrp(vl,dnd1,dvr1,&q,&r); - restore_mvar(CO,r,v,(P *)rp); - } else - divsrp(CO,dnd,dvr,&q,(P *)rp); + asir_assert(ARG0(arg),O_P,"srem"); + asir_assert(ARG1(arg),O_P,"srem"); + dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); + if ( argc(arg) == 3 ) { + v = VR((P)ARG2(arg)); + change_mvar(CO,dnd,v,&dnd1); change_mvar(CO,dvr,v,&dvr1); + reordvar(CO,v,&vl); + divsrp(vl,dnd1,dvr1,&q,&r); + restore_mvar(CO,r,v,(P *)rp); + } else + divsrp(CO,dnd,dvr,&q,(P *)rp); } +void Pprem(arg,rp) +NODE arg; +P *rp; +{ + P q,r,dnd,dnd1,dvr,dvr1; + V v; + VL vl; + + asir_assert(ARG0(arg),O_P,"prem"); + asir_assert(ARG1(arg),O_P,"prem"); + dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); + if ( !dvr ) error("prem : division by 0"); + if ( !dnd ) { + *rp = 0; return; + } + if ( argc(arg) == 3 ) { + v = VR((P)ARG2(arg)); + change_mvar(CO,dnd,v,&dnd1); change_mvar(CO,dvr,v,&dvr1); + reordvar(CO,v,&vl); + premp(vl,dnd1,dvr1,&r); + restore_mvar(CO,r,v,rp); + } else + premp(CO,dnd,dvr,rp); +} + void Psqr(arg,rp) NODE arg; LIST *rp; { - P q,q1,r,r1,dnd,dnd1,dvr,dvr1; - NODE n,tn; - V v; - VL vl; + P q,q1,r,r1,dnd,dnd1,dvr,dvr1; + NODE n,tn; + V v; + VL vl; - asir_assert(ARG0(arg),O_P,"sqr"); - asir_assert(ARG1(arg),O_P,"sqr"); - dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); - if ( argc(arg) == 3 ) { - v = VR((P)ARG2(arg)); - change_mvar(CO,dnd,v,&dnd1); change_mvar(CO,dvr,v,&dvr1); - reordvar(CO,v,&vl); - divsrp(vl,dnd1,dvr1,&q1,&r1); - restore_mvar(CO,q1,v,&q); restore_mvar(CO,r1,v,&r); - } else - divsrp(CO,dnd,dvr,&q,&r); - MKNODE(tn,r,0); MKNODE(n,q,tn); MKLIST(*rp,n); + asir_assert(ARG0(arg),O_P,"sqr"); + asir_assert(ARG1(arg),O_P,"sqr"); + dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); + if ( argc(arg) == 3 ) { + v = VR((P)ARG2(arg)); + change_mvar(CO,dnd,v,&dnd1); change_mvar(CO,dvr,v,&dvr1); + reordvar(CO,v,&vl); + divsrp(vl,dnd1,dvr1,&q1,&r1); + restore_mvar(CO,q1,v,&q); restore_mvar(CO,r1,v,&r); + } else + divsrp(CO,dnd,dvr,&q,&r); + MKNODE(tn,r,0); MKNODE(n,q,tn); MKLIST(*rp,n); } void Psdiv_gf2n(arg,rp) NODE arg; GF2N *rp; { - GF2N dnd,dvr; - UP2 q,r; + GF2N dnd,dvr; + UP2 q,r; - dnd = (GF2N)ARG0(arg); dvr = (GF2N)ARG1(arg); - if ( !dvr ) - error("sdiv_gf2n : division by 0"); - else if ( !dnd ) - *rp = 0; - else { - qrup2(dnd->body,dvr->body,&q,&r); - MKGF2N(q,*rp); - } + dnd = (GF2N)ARG0(arg); dvr = (GF2N)ARG1(arg); + if ( !dvr ) + error("sdiv_gf2n : division by 0"); + else if ( !dnd ) + *rp = 0; + else { + qrup2(dnd->body,dvr->body,&q,&r); + MKGF2N(q,*rp); + } } void Psrem_gf2n(arg,rp) NODE arg; GF2N *rp; { - GF2N dnd,dvr; - UP2 q,r; + GF2N dnd,dvr; + UP2 q,r; - dnd = (GF2N)ARG0(arg); dvr = (GF2N)ARG1(arg); - if ( !dvr ) - error("srem_gf2n : division by 0"); - else if ( !dnd ) - *rp = 0; - else { - qrup2(dnd->body,dvr->body,&q,&r); - MKGF2N(r,*rp); - } + dnd = (GF2N)ARG0(arg); dvr = (GF2N)ARG1(arg); + if ( !dvr ) + error("srem_gf2n : division by 0"); + else if ( !dnd ) + *rp = 0; + else { + qrup2(dnd->body,dvr->body,&q,&r); + MKGF2N(r,*rp); + } } +void Pgcd_gf2n(arg,rp) +NODE arg; +GF2N *rp; +{ + GF2N p1,p2; + UP2 gcd; + + p1 = (GF2N)ARG0(arg); p2 = (GF2N)ARG1(arg); + if ( !p1 ) + *rp = p2; + else if ( !p2 ) + *rp = p1; + else { + gcdup2(p1->body,p2->body,&gcd); + MKGF2N(gcd,*rp); + } +} + void Ptdiv(arg,rp) NODE arg; P *rp; { - P p1,p2,q1,q2,q,c1,c2,c; + P p1,p2,q1,q2,q,c1,c2,c; + int m; - p1 = (P)ARG0(arg); p2 = (P)ARG1(arg); - asir_assert(p1,O_P,"tdiv"); - asir_assert(p2,O_P,"tdiv"); - if ( !p1 || !p2 ) - *rp = 0; - else if ( (OID(p1) > O_P) || (OID(p2) > O_P ) ) - *rp = 0; - else { - ptozp(p1,1,(Q *)&c1,&q1); ptozp(p2,1,(Q *)&c2,&q2); - if ( divtpz(CO,q1,q2,&q) ) { - divq((Q)c1,(Q)c2,(Q *)&c); mulp(CO,q,c,rp); - } else - *rp = 0; - } + p1 = (P)ARG0(arg); p2 = (P)ARG1(arg); + asir_assert(p1,O_P,"tdiv"); + asir_assert(p2,O_P,"tdiv"); + if ( !p1 || !p2 ) + *rp = 0; + else if ( (OID(p1) > O_P) || (OID(p2) > O_P ) ) + *rp = 0; + else if ( argc(arg) == 3 ) { + m = QTOS((Q)ARG2(arg)); + ptomp(m,p1,&q1); ptomp(m,p2,&q2); + if ( divtmp(CO,m,q1,q2,&q) ) + mptop(q,rp); + else + *rp = 0; + } else if ( qpcheck((Obj)p1) && qpcheck((Obj)p2) ) { + ptozp(p1,1,(Q *)&c1,&q1); ptozp(p2,1,(Q *)&c2,&q2); + if ( divtpz(CO,q1,q2,&q) ) { + divq((Q)c1,(Q)c2,(Q *)&c); mulp(CO,q,c,rp); + } else + *rp = 0; + } else { + if ( !divtp(CO,p1,p2,rp) ) + *rp = 0; + } } void Pudiv(arg,rp) NODE arg; LIST *rp; { - P q,r,dnd,dvr; - NODE n,tn; + P q,r,dnd,dvr; + NODE n,tn; - asir_assert(ARG0(arg),O_P,"udiv"); - asir_assert(ARG1(arg),O_P,"udiv"); - dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); - udivpz(dnd,dvr,&q,&r); - MKNODE(tn,r,0); MKNODE(n,q,tn); MKLIST(*rp,n); + asir_assert(ARG0(arg),O_P,"udiv"); + asir_assert(ARG1(arg),O_P,"udiv"); + dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); + udivpz(dnd,dvr,&q,&r); + MKNODE(tn,r,0); MKNODE(n,q,tn); MKLIST(*rp,n); } void Psdivm(arg,rp) NODE arg; Obj *rp; { - P q,r,dnd,dnd1,dndm,dvr,dvr1,dvrm,t; - V v; - VL vl; - int m; + P q,r,dnd,dnd1,dndm,dvr,dvr1,dvrm,t; + V v; + VL vl; + int m; - asir_assert(ARG0(arg),O_P,"sdivm"); - asir_assert(ARG1(arg),O_P,"sdivm"); - asir_assert(ARG2(arg),O_N,"sdivm"); - dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); m = QTOS((Q)ARG2(arg)); - if ( argc(arg) == 4 ) { - v = VR((P)ARG3(arg)); - change_mvar(CO,dnd,v,&dnd1); change_mvar(CO,dvr,v,&dvr1); - reordvar(CO,v,&vl); - ptomp(m,dnd1,&dndm); ptomp(m,dvr1,&dvrm); - divsrmp(vl,m,dndm,dvrm,&t,&r); mptop(t,&q); - restore_mvar(CO,q,v,(P *)rp); - } else { - ptomp(m,dnd,&dndm); ptomp(m,dvr,&dvrm); - divsrmp(CO,m,dndm,dvrm,&t,&r); mptop(t,(P *)rp); - } + asir_assert(ARG0(arg),O_P,"sdivm"); + asir_assert(ARG1(arg),O_P,"sdivm"); + asir_assert(ARG2(arg),O_N,"sdivm"); + dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); m = QTOS((Q)ARG2(arg)); + if ( argc(arg) == 4 ) { + v = VR((P)ARG3(arg)); + change_mvar(CO,dnd,v,&dnd1); change_mvar(CO,dvr,v,&dvr1); + reordvar(CO,v,&vl); + ptomp(m,dnd1,&dndm); ptomp(m,dvr1,&dvrm); + divsrmp(vl,m,dndm,dvrm,&t,&r); mptop(t,&q); + restore_mvar(CO,q,v,(P *)rp); + } else { + ptomp(m,dnd,&dndm); ptomp(m,dvr,&dvrm); + divsrmp(CO,m,dndm,dvrm,&t,&r); mptop(t,(P *)rp); + } } void Psremm(arg,rp) NODE arg; Obj *rp; { - P q,r,dnd,dnd1,dndm,dvr,dvr1,dvrm,t; - V v; - VL vl; - int m; + P q,r,dnd,dnd1,dndm,dvr,dvr1,dvrm,t; + V v; + VL vl; + int m; - asir_assert(ARG0(arg),O_P,"sremm"); - asir_assert(ARG1(arg),O_P,"sremm"); - asir_assert(ARG2(arg),O_N,"sremm"); - dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); m = QTOS((Q)ARG2(arg)); - if ( argc(arg) == 4 ) { - v = VR((P)ARG3(arg)); - change_mvar(CO,dnd,v,&dnd1); change_mvar(CO,dvr,v,&dvr1); - reordvar(CO,v,&vl); - ptomp(m,dnd1,&dndm); ptomp(m,dvr1,&dvrm); - divsrmp(vl,m,dndm,dvrm,&q,&t); mptop(t,&r); - restore_mvar(CO,r,v,(P *)rp); - } else { - ptomp(m,dnd,&dndm); ptomp(m,dvr,&dvrm); - divsrmp(CO,m,dndm,dvrm,&q,&t); mptop(t,(P *)rp); - } + asir_assert(ARG0(arg),O_P,"sremm"); + asir_assert(ARG1(arg),O_P,"sremm"); + asir_assert(ARG2(arg),O_N,"sremm"); + dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); m = QTOS((Q)ARG2(arg)); + if ( argc(arg) == 4 ) { + v = VR((P)ARG3(arg)); + change_mvar(CO,dnd,v,&dnd1); change_mvar(CO,dvr,v,&dvr1); + reordvar(CO,v,&vl); + ptomp(m,dnd1,&dndm); ptomp(m,dvr1,&dvrm); + divsrmp(vl,m,dndm,dvrm,&q,&t); mptop(t,&r); + restore_mvar(CO,r,v,(P *)rp); + } else { + ptomp(m,dnd,&dndm); ptomp(m,dvr,&dvrm); + divsrmp(CO,m,dndm,dvrm,&q,&t); mptop(t,(P *)rp); + } } void Psqrm(arg,rp) NODE arg; LIST *rp; { - P q,q1,r,r1,dnd,dnd1,dndm,dvr,dvr1,dvrm; - NODE n,tn; - V v; - VL vl; - int m; + P q,q1,r,r1,dnd,dnd1,dndm,dvr,dvr1,dvrm; + NODE n,tn; + V v; + VL vl; + int m; - asir_assert(ARG0(arg),O_P,"sqrm"); - asir_assert(ARG1(arg),O_P,"sqrm"); - asir_assert(ARG2(arg),O_N,"sqrm"); - dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); m = QTOS((Q)ARG2(arg)); - if ( argc(arg) == 4 ) { - v = VR((P)ARG3(arg)); - change_mvar(CO,dnd,v,&dnd1); change_mvar(CO,dvr,v,&dvr1); - reordvar(CO,v,&vl); - ptomp(m,dnd1,&dndm); ptomp(m,dvr1,&dvrm); - divsrp(vl,dndm,dvrm,&q,&r); mptop(q,&q1); mptop(r,&r1); - restore_mvar(CO,q1,v,&q); restore_mvar(CO,r1,v,&r); - } else { - ptomp(m,dnd,&dndm); ptomp(m,dvr,&dvrm); - divsrp(CO,dnd,dvr,&q1,&r1); mptop(q1,&q); mptop(r1,&r); - } - MKNODE(tn,r,0); MKNODE(n,q,tn); MKLIST(*rp,n); + asir_assert(ARG0(arg),O_P,"sqrm"); + asir_assert(ARG1(arg),O_P,"sqrm"); + asir_assert(ARG2(arg),O_N,"sqrm"); + dnd = (P)ARG0(arg); dvr = (P)ARG1(arg); m = QTOS((Q)ARG2(arg)); + if ( argc(arg) == 4 ) { + v = VR((P)ARG3(arg)); + change_mvar(CO,dnd,v,&dnd1); change_mvar(CO,dvr,v,&dvr1); + reordvar(CO,v,&vl); + ptomp(m,dnd1,&dndm); ptomp(m,dvr1,&dvrm); + divsrmp(vl,m,dndm,dvrm,&q,&r); mptop(q,&q1); mptop(r,&r1); + restore_mvar(CO,q1,v,&q); restore_mvar(CO,r1,v,&r); + } else { + ptomp(m,dnd,&dndm); ptomp(m,dvr,&dvrm); + divsrmp(CO,m,dndm,dvrm,&q1,&r1); mptop(q1,&q); mptop(r1,&r); + } + MKNODE(tn,r,0); MKNODE(n,q,tn); MKLIST(*rp,n); } void Pinva_mod(arg,rp) NODE arg; P *rp; { - P dp,f; - Q q; - int n,i; - int mod; - V v; - UM wf,wdp,winv; + P dp,f; + Q q; + int n,i; + int mod; + V v; + UM wf,wdp,winv; - asir_assert(ARG0(arg),O_P,"gcda_mod"); - asir_assert(ARG1(arg),O_N,"gcda_mod"); - asir_assert(ARG2(arg),O_P,"gcda_mod"); - dp = (P)ARG0(arg); - mod = QTOS((Q)ARG1(arg)); - f = (P)ARG2(arg); - if ( NUM(f) ) { - i = invm(rem(NM((Q)f),mod),mod); - STOQ(i,q); *rp = (P)q; - } else { - v = VR(dp); - n = MAX(UDEG(dp),UDEG(f)); - wf = W_UMALLOC(n); wdp = W_UMALLOC(n); - winv = W_UMALLOC(n); - ptoum(mod,f,wf); ptoum(mod,dp,wdp); - invum(mod,wdp,wf,winv); - if ( DEG(winv) < 0 ) - *rp = 0; - else { - umtop(v,winv,rp); - } - } + asir_assert(ARG0(arg),O_P,"gcda_mod"); + asir_assert(ARG1(arg),O_N,"gcda_mod"); + asir_assert(ARG2(arg),O_P,"gcda_mod"); + dp = (P)ARG0(arg); + mod = QTOS((Q)ARG1(arg)); + f = (P)ARG2(arg); + if ( NUM(f) ) { + i = invm(rem(NM((Q)f),mod),mod); + STOQ(i,q); *rp = (P)q; + } else { + v = VR(dp); + n = MAX(UDEG(dp),UDEG(f)); + wf = W_UMALLOC(n); wdp = W_UMALLOC(n); + winv = W_UMALLOC(n); + ptoum(mod,f,wf); ptoum(mod,dp,wdp); + invum(mod,wdp,wf,winv); + if ( DEG(winv) < 0 ) + *rp = 0; + else { + umtop(v,winv,rp); + } + } } void Psrem_mod(arg,rp) NODE arg; P *rp; { - P p1,p2; - int n,dr; - int mod; - V v; - UM wp1,wp2,q; + P p1,p2; + int n,dr; + int mod; + V v; + UM wp1,wp2,q; - asir_assert(ARG0(arg),O_P,"srem_mod"); - asir_assert(ARG1(arg),O_P,"srem_mod"); - asir_assert(ARG2(arg),O_N,"srem_mod"); - p1 = (P)ARG0(arg); p2 = (P)ARG1(arg); mod = QTOS((Q)ARG2(arg)); - if ( !p1 || NUM(p1) ) - *rp = p1; - else { - v = VR(p1); - n = MAX(UDEG(p1),UDEG(p2)); - wp1 = W_UMALLOC(n); wp2 = W_UMALLOC(n); q = W_UMALLOC(n); - ptoum(mod,p1,wp1); ptoum(mod,p2,wp2); - dr = divum(mod,wp1,wp2,q); - if ( ( DEG(wp1) = dr ) == -1 ) - *rp = 0; - else - umtop(v,wp1,rp); - } + asir_assert(ARG0(arg),O_P,"srem_mod"); + asir_assert(ARG1(arg),O_P,"srem_mod"); + asir_assert(ARG2(arg),O_N,"srem_mod"); + p1 = (P)ARG0(arg); p2 = (P)ARG1(arg); mod = QTOS((Q)ARG2(arg)); + if ( !p1 || NUM(p1) ) + *rp = p1; + else { + v = VR(p1); + n = MAX(UDEG(p1),UDEG(p2)); + wp1 = W_UMALLOC(n); wp2 = W_UMALLOC(n); q = W_UMALLOC(n); + ptoum(mod,p1,wp1); ptoum(mod,p2,wp2); + dr = divum(mod,wp1,wp2,q); + if ( ( DEG(wp1) = dr ) == -1 ) + *rp = 0; + else + umtop(v,wp1,rp); + } } void Purem(arg,rp) NODE arg; P *rp; { - asir_assert(ARG0(arg),O_P,"urem"); - asir_assert(ARG1(arg),O_P,"urem"); - uremp((P)ARG0(arg),(P)ARG1(arg),rp); + asir_assert(ARG0(arg),O_P,"urem"); + asir_assert(ARG1(arg),O_P,"urem"); + uremp((P)ARG0(arg),(P)ARG1(arg),rp); } void Pugcd(arg,rp) NODE arg; P *rp; { - asir_assert(ARG0(arg),O_P,"ugcd"); - asir_assert(ARG1(arg),O_P,"ugcd"); - ugcdp((P)ARG0(arg),(P)ARG1(arg),rp); + asir_assert(ARG0(arg),O_P,"ugcd"); + asir_assert(ARG1(arg),O_P,"ugcd"); + ugcdp((P)ARG0(arg),(P)ARG1(arg),rp); } void invum(mod,dp,f,inv) int mod; UM dp,f,inv; { - UM g1,g2,a1,a2,a3,wm,q,tum; - int d,dr; + UM g1,g2,a1,a2,a3,wm,q,tum; + int d,dr; - d = DEG(dp)+DEG(f)+10; - g1 = W_UMALLOC(d); g2 = W_UMALLOC(d); a1 = W_UMALLOC(d); - a2 = W_UMALLOC(d); a3 = W_UMALLOC(d); wm = W_UMALLOC(d); - q = W_UMALLOC(d); - DEG(a1) = 0; COEF(a1)[0] = 1; DEG(a2) = -1; - cpyum(f,g1); cpyum(dp,g2); - while ( 1 ) { - dr = divum(mod,g1,g2,q); tum = g1; g1 = g2; g2 = tum; - if ( ( DEG(g2) = dr ) == -1 ) - break; - mulum(mod,a2,q,wm); subum(mod,a1,wm,a3); dr = divum(mod,a3,dp,q); - tum = a1; a1 = a2; a2 = a3; a3 = tum; DEG(a3) = dr; - } - if ( DEG(g1) != 0 ) - DEG(inv) = -1; - else if ( COEF(g1)[0] != 1 ) - mulsum(mod,a2,invm(COEF(g1)[0],mod),inv); - else - cpyum(a2,inv); + d = DEG(dp)+DEG(f)+10; + g1 = W_UMALLOC(d); g2 = W_UMALLOC(d); a1 = W_UMALLOC(d); + a2 = W_UMALLOC(d); a3 = W_UMALLOC(d); wm = W_UMALLOC(d); + q = W_UMALLOC(d); + DEG(a1) = 0; COEF(a1)[0] = 1; DEG(a2) = -1; + cpyum(f,g1); cpyum(dp,g2); + while ( 1 ) { + dr = divum(mod,g1,g2,q); tum = g1; g1 = g2; g2 = tum; + if ( ( DEG(g2) = dr ) == -1 ) + break; + mulum(mod,a2,q,wm); subum(mod,a1,wm,a3); dr = divum(mod,a3,dp,q); + tum = a1; a1 = a2; a2 = a3; a3 = tum; DEG(a3) = dr; + } + if ( DEG(g1) != 0 ) + DEG(inv) = -1; + else if ( COEF(g1)[0] != 1 ) + mulsum(mod,a2,invm(COEF(g1)[0],mod),inv); + else + cpyum(a2,inv); }