Annotation of OpenXM_contrib2/asir2000/engine/cplx.c, Revision 1.8
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: *
1.8 ! noro 48: * $OpenXM: OpenXM_contrib2/asir2000/engine/cplx.c,v 1.7 2015/08/20 08:42:07 noro Exp $
1.2 noro 49: */
1.1 noro 50: #include "ca.h"
51: #include "base.h"
52:
53: void toreim(a,rp,ip)
54: Num a;
55: Num *rp,*ip;
56: {
1.8 ! noro 57: if ( !a )
! 58: *rp = *ip = 0;
1.4 saito 59: #if defined(INTERVAL)
1.8 ! noro 60: else if ( NID(a) <= N_PRE_C ) {
1.4 saito 61: #else
1.8 ! noro 62: else if ( NID(a) <= N_B ) {
1.4 saito 63: #endif
1.8 ! noro 64: *rp = a; *ip = 0;
! 65: } else {
! 66: *rp = ((C)a)->r; *ip = ((C)a)->i;
! 67: }
1.1 noro 68: }
69:
70: void reimtocplx(r,i,cp)
71: Num r,i;
72: Num *cp;
73: {
1.8 ! noro 74: C c;
1.1 noro 75:
1.8 ! noro 76: if ( !i )
! 77: *cp = r;
! 78: else {
! 79: NEWC(c); c->r = r; c->i = i; *cp = (Num)c;
! 80: }
1.1 noro 81: }
82:
83: void addcplx(a,b,c)
84: Num a,b;
85: Num *c;
86: {
1.8 ! noro 87: Num ar,ai,br,bi,cr,ci;
1.1 noro 88:
1.8 ! noro 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: }
1.1 noro 104: }
105:
106: void subcplx(a,b,c)
107: Num a,b;
108: Num *c;
109: {
1.8 ! noro 110: Num ar,ai,br,bi,cr,ci;
1.1 noro 111:
1.8 ! noro 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: }
1.1 noro 127: }
128:
129: void mulcplx(a,b,c)
130: Num a,b;
131: Num *c;
132: {
1.8 ! noro 133: Num ar,ai,br,bi,cr,ci,t,s;
1.1 noro 134:
1.8 ! noro 135: if ( !a || !b )
! 136: *c = 0;
1.4 saito 137: #if defined(INTERVAL)
1.8 ! noro 138: else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) )
1.4 saito 139: #else
1.8 ! noro 140: else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )
1.4 saito 141: #endif
1.8 ! noro 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: }
1.1 noro 149: }
150:
151: void divcplx(a,b,c)
152: Num a,b;
153: Num *c;
154: {
1.8 ! noro 155: Num ar,ai,br,bi,cr,ci,t,s,u,w;
1.1 noro 156:
1.8 ! noro 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: }
1.1 noro 176: }
177:
178: void pwrcplx(a,e,c)
179: Num a,e;
180: Num *c;
181: {
1.8 ! noro 182: int ei;
! 183: Num t;
1.1 noro 184:
1.8 ! noro 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 = SGN((Q)e)*QTOS((Q)e);
! 193: pwrcplx0(a,ei,&t);
! 194: if ( SGN((Q)e) < 0 )
! 195: divnum(0,(Num)ONE,t,c);
! 196: else
! 197: *c = t;
! 198: }
1.1 noro 199: }
200:
201: void pwrcplx0(a,e,c)
202: Num a;
203: int e;
204: Num *c;
205: {
1.8 ! noro 206: Num t,s;
1.1 noro 207:
1.8 ! noro 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: }
1.1 noro 218: }
219:
220: void chsgncplx(a,c)
221: Num a,*c;
222: {
1.8 ! noro 223: Num r,i;
1.1 noro 224:
1.8 ! noro 225: if ( !a )
! 226: *c = 0;
1.4 saito 227: #if defined(INTERVAL)
1.8 ! noro 228: else if ( NID(a) <= N_PRE_C )
1.4 saito 229: #else
1.8 ! noro 230: else if ( NID(a) <= N_B )
1.4 saito 231: #endif
1.8 ! noro 232: chsgnnum(a,c);
! 233: else {
! 234: chsgnnum(((C)a)->r,&r); chsgnnum(((C)a)->i,&i);
! 235: reimtocplx(r,i,c);
! 236: }
1.1 noro 237: }
238:
239: int cmpcplx(a,b)
240: Num a,b;
241: {
1.8 ! noro 242: Num ar,ai,br,bi;
! 243: int s;
1.1 noro 244:
1.8 ! noro 245: if ( !a ) {
1.4 saito 246: #if defined(INTERVAL)
1.8 ! noro 247: if ( !b || (NID(b)<=N_PRE_C) )
1.4 saito 248: #else
1.8 ! noro 249: if ( !b || (NID(b)<=N_B) )
1.4 saito 250: #endif
1.8 ! noro 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: }
1.1 noro 271: }
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