Annotation of OpenXM_contrib2/asir2018/engine/cplx.c, Revision 1.1
1.1 ! 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
! 26: * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
! 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: *
! 48: * $OpenXM$
! 49: */
! 50: #include "ca.h"
! 51: #include "base.h"
! 52:
! 53: void toreim(a,rp,ip)
! 54: Num a;
! 55: Num *rp,*ip;
! 56: {
! 57: if ( !a )
! 58: *rp = *ip = 0;
! 59: #if defined(INTERVAL)
! 60: else if ( NID(a) <= N_PRE_C ) {
! 61: #else
! 62: else if ( NID(a) <= N_B ) {
! 63: #endif
! 64: *rp = a; *ip = 0;
! 65: } else {
! 66: *rp = ((C)a)->r; *ip = ((C)a)->i;
! 67: }
! 68: }
! 69:
! 70: void reimtocplx(r,i,cp)
! 71: Num r,i;
! 72: Num *cp;
! 73: {
! 74: C c;
! 75:
! 76: if ( !i )
! 77: *cp = r;
! 78: else {
! 79: NEWC(c); c->r = r; c->i = i; *cp = (Num)c;
! 80: }
! 81: }
! 82:
! 83: void addcplx(a,b,c)
! 84: Num a,b;
! 85: Num *c;
! 86: {
! 87: Num ar,ai,br,bi,cr,ci;
! 88:
! 89: if ( !a )
! 90: *c = b;
! 91: else if ( !b )
! 92: *c = a;
! 93: #if defined(INTERVAL)
! 94: else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) )
! 95: #else
! 96: else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )
! 97: #endif
! 98: addnum(0,a,b,c);
! 99: else {
! 100: toreim(a,&ar,&ai); toreim(b,&br,&bi);
! 101: addnum(0,ar,br,&cr); addnum(0,ai,bi,&ci);
! 102: reimtocplx(cr,ci,c);
! 103: }
! 104: }
! 105:
! 106: void subcplx(a,b,c)
! 107: Num a,b;
! 108: Num *c;
! 109: {
! 110: Num ar,ai,br,bi,cr,ci;
! 111:
! 112: if ( !a )
! 113: chsgnnum(b,c);
! 114: else if ( !b )
! 115: *c = a;
! 116: #if defined(INTERVAL)
! 117: else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) )
! 118: #else
! 119: else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )
! 120: #endif
! 121: subnum(0,a,b,c);
! 122: else {
! 123: toreim(a,&ar,&ai); toreim(b,&br,&bi);
! 124: subnum(0,ar,br,&cr); subnum(0,ai,bi,&ci);
! 125: reimtocplx(cr,ci,c);
! 126: }
! 127: }
! 128:
! 129: void mulcplx(a,b,c)
! 130: Num a,b;
! 131: Num *c;
! 132: {
! 133: Num ar,ai,br,bi,cr,ci,t,s;
! 134:
! 135: if ( !a || !b )
! 136: *c = 0;
! 137: #if defined(INTERVAL)
! 138: else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) )
! 139: #else
! 140: else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )
! 141: #endif
! 142: mulnum(0,a,b,c);
! 143: else {
! 144: toreim(a,&ar,&ai); toreim(b,&br,&bi);
! 145: mulnum(0,ar,br,&t); mulnum(0,ai,bi,&s); subnum(0,t,s,&cr);
! 146: mulnum(0,ar,bi,&t); mulnum(0,ai,br,&s); addnum(0,t,s,&ci);
! 147: reimtocplx(cr,ci,c);
! 148: }
! 149: }
! 150:
! 151: void divcplx(a,b,c)
! 152: Num a,b;
! 153: Num *c;
! 154: {
! 155: Num ar,ai,br,bi,cr,ci,t,s,u,w;
! 156:
! 157: if ( !b )
! 158: error("divcplx : division by 0");
! 159: else if ( !a )
! 160: *c = 0;
! 161: #if defined(INTERVAL)
! 162: else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) )
! 163: #else
! 164: else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )
! 165: #endif
! 166: divnum(0,a,b,c);
! 167: else {
! 168: toreim(a,&ar,&ai); toreim(b,&br,&bi);
! 169: mulnum(0,br,br,&t); mulnum(0,bi,bi,&s); addnum(0,t,s,&u);
! 170: mulnum(0,ar,br,&t); mulnum(0,ai,bi,&s);
! 171: addnum(0,t,s,&w); divnum(0,w,u,&cr);
! 172: mulnum(0,ar,bi,&t); mulnum(0,ai,br,&s);
! 173: subnum(0,s,t,&w); divnum(0,w,u,&ci);
! 174: reimtocplx(cr,ci,c);
! 175: }
! 176: }
! 177:
! 178: void pwrcplx(a,e,c)
! 179: Num a,e;
! 180: Num *c;
! 181: {
! 182: int ei;
! 183: Num t;
! 184:
! 185: if ( !e )
! 186: *c = (Num)ONE;
! 187: else if ( !a )
! 188: *c = 0;
! 189: else if ( !INT(e) )
! 190: error("pwrcplx : not implemented (use eval()).");
! 191: else {
! 192: ei = sgnq((Q)e)*sgnq((Q)e);
! 193: pwrcplx0(a,ei,&t);
! 194: if ( sgnq((Q)e) < 0 )
! 195: divnum(0,(Num)ONE,t,c);
! 196: else
! 197: *c = t;
! 198: }
! 199: }
! 200:
! 201: void pwrcplx0(a,e,c)
! 202: Num a;
! 203: int e;
! 204: Num *c;
! 205: {
! 206: Num t,s;
! 207:
! 208: if ( e == 1 )
! 209: *c = a;
! 210: else {
! 211: pwrcplx0(a,e/2,&t);
! 212: if ( !(e%2) )
! 213: mulnum(0,t,t,c);
! 214: else {
! 215: mulnum(0,t,t,&s); mulnum(0,s,a,c);
! 216: }
! 217: }
! 218: }
! 219:
! 220: void chsgncplx(a,c)
! 221: Num a,*c;
! 222: {
! 223: Num r,i;
! 224:
! 225: if ( !a )
! 226: *c = 0;
! 227: #if defined(INTERVAL)
! 228: else if ( NID(a) <= N_PRE_C )
! 229: #else
! 230: else if ( NID(a) <= N_B )
! 231: #endif
! 232: chsgnnum(a,c);
! 233: else {
! 234: chsgnnum(((C)a)->r,&r); chsgnnum(((C)a)->i,&i);
! 235: reimtocplx(r,i,c);
! 236: }
! 237: }
! 238:
! 239: int cmpcplx(a,b)
! 240: Num a,b;
! 241: {
! 242: Num ar,ai,br,bi;
! 243: int s;
! 244:
! 245: if ( !a ) {
! 246: #if defined(INTERVAL)
! 247: if ( !b || (NID(b)<=N_PRE_C) )
! 248: #else
! 249: if ( !b || (NID(b)<=N_B) )
! 250: #endif
! 251: return compnum(0,a,b);
! 252: else
! 253: return -1;
! 254: } else if ( !b ) {
! 255: #if defined(INTERVAL)
! 256: if ( !a || (NID(a)<=N_PRE_C) )
! 257: #else
! 258: if ( !a || (NID(a)<=N_B) )
! 259: #endif
! 260: return compnum(0,a,b);
! 261: else
! 262: return 1;
! 263: } else {
! 264: toreim(a,&ar,&ai); toreim(b,&br,&bi);
! 265: s = compnum(0,ar,br);
! 266: if ( s )
! 267: return s;
! 268: else
! 269: return compnum(0,ai,bi);
! 270: }
! 271: }
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