Annotation of OpenXM_contrib2/asir2018/engine/cplx.c, Revision 1.2
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: *
1.2 ! noro 48: * $OpenXM: OpenXM_contrib2/asir2018/engine/cplx.c,v 1.1 2018/09/19 05:45:07 noro Exp $
1.1 noro 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 {
1.2 ! noro 192: ei = sgnq((Q)e)*ZTOS((Q)e);
1.1 noro 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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