aboutsummaryrefslogtreecommitdiff
path: root/newlib/libm/math/k_standard.c
blob: 91fd6c33ff326465c4e9a13676c2e7519b3bc408 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359

/* @(#)k_standard.c 5.1 93/09/24 */
/*
 * ====================================================
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
 *
 * Developed at SunPro, a Sun Microsystems, Inc. business.
 * Permission to use, copy, modify, and distribute this
 * software is freely granted, provided that this notice 
 * is preserved.
 * ====================================================
 *
 */

#include "fdlibm.h"
#include <errno.h>

#ifndef _USE_WRITE
#include <stdio.h>			/* fputs(), stderr */
#define	WRITE2(u,v)	fputs(u, stderr)
#else	/* !defined(_USE_WRITE) */
#include <unistd.h>			/* write */
#define	WRITE2(u,v)	write(2, u, v)
#undef fflush
#endif	/* !defined(_USE_WRITE) */

#ifdef __STDC__
static const double zero = 0.0;	/* used as const */
#else
static double zero = 0.0;	/* used as const */
#endif

/* 
 * POSIX Standard conformance on exception cases.
 * Mapping:
 *	1 -- acos(|x|>1)
 *	2 -- asin(|x|>1)
 *	3 -- atan2(+-0,+-0)
 *	4 -- hypot overflow
 *	5 -- cosh overflow
 *	6 -- exp overflow
 *	7 -- exp underflow
 *	8 -- y0(0)
 *	9 -- y0(-ve)
 *	10-- y1(0)
 *	11-- y1(-ve)
 *	12-- yn(0)
 *	13-- yn(-ve)
 *	14-- lgamma(finite) overflow
 *	15-- lgamma(-integer)
 *	16-- log(0)
 *	17-- log(x<0)
 *	18-- log10(0)
 *	19-- log10(x<0)
 *	20-- pow(0.0,0.0)
 *	21-- pow(x,y) overflow
 *	22-- pow(x,y) underflow
 *	23-- pow(0,negative) 
 *	24-- pow(neg,non-integral)
 *	25-- sinh(finite) overflow
 *	26-- sqrt(negative)
 *      27-- fmod(x,0)
 *      28-- remainder(x,0)
 *	29-- acosh(x<1)
 *	30-- atanh(|x|>1)
 *	31-- atanh(|x|=1)
 *	32-- scalb overflow
 *	33-- scalb underflow
 *	34-- j0(|x|>X_TLOSS)
 *	35-- y0(x>X_TLOSS)
 *	36-- j1(|x|>X_TLOSS)
 *	37-- y1(x>X_TLOSS)
 *	38-- jn(|x|>X_TLOSS, n)
 *	39-- yn(x>X_TLOSS, n)
 *	40-- gamma(finite) overflow
 *	41-- gamma(-integer)
 *	42-- pow(NaN,0.0)
 */


#ifdef __STDC__
	double __kernel_standard(double x, double y, int type) 
#else
	double __kernel_standard(x,y,type) 
	double x,y; int type;
#endif
{
	double retval = 0.0;
#ifndef HUGE_VAL	/* this is the only routine that uses HUGE_VAL */ 
#define HUGE_VAL inf
	double inf = 0.0;

	SET_HIGH_WORD(inf,0x7ff00000);	/* set inf to infinite */
#endif

#ifdef _USE_WRITE
        /* (void) fflush(_stdout_r(p)); */        
#endif
	switch(type) {
	    case 1:
	    case 101:
		/* acos(|x|>1) */
		retval = zero;
		errno = EDOM;
		break;
	    case 2:
	    case 102:
		/* asin(|x|>1) */
		retval = zero;
		errno = EDOM;
		break;
	    case 3:
	    case 103:
		/* atan2(+-0,+-0) */
		retval = zero;
		errno = EDOM;
		break;
	    case 4:
	    case 104:
		/* hypot(finite,finite) overflow */
		retval = HUGE_VAL;
		errno = ERANGE;
		break;
	    case 5:
	    case 105:
		/* cosh(finite) overflow */
		retval = HUGE_VAL;
		errno = ERANGE;
		break;
	    case 6:
	    case 106:
		/* exp(finite) overflow */
		retval = HUGE_VAL;
		errno = ERANGE;
		break;
	    case 7:
	    case 107:
		/* exp(finite) underflow */
		retval = zero;
		errno = ERANGE;
		break;
	    case 8:
	    case 108:
		/* y0(0) = -inf */
		retval = -HUGE_VAL;
		errno = EDOM;
		break;
	    case 9:
	    case 109:
		/* y0(x<0) = NaN */
		retval = -HUGE_VAL;
		errno = EDOM;
		break;
	    case 10:
	    case 110:
		/* y1(0) = -inf */
		retval = -HUGE_VAL;
		errno = EDOM;
		break;
	    case 11:
	    case 111:
		/* y1(x<0) = NaN */
		retval = -HUGE_VAL;
		errno = EDOM;
		break;
	    case 12:
	    case 112:
		/* yn(n,0) = -inf */
		retval = -HUGE_VAL;
		errno = EDOM;
		break;
	    case 13:
	    case 113:
		/* yn(x<0) = NaN */
		retval = -HUGE_VAL;
		errno = EDOM;
		break;
	    case 14:
	    case 114:
		/* lgamma(finite) overflow */
		retval = HUGE_VAL;
		errno = ERANGE;
		break;
	    case 15:
	    case 115:
		/* lgamma(-integer) or lgamma(0) */
		retval = HUGE_VAL;
		errno = EDOM;
		break;
	    case 16:
	    case 116:
		/* log(0) */
		retval = -HUGE_VAL;
		errno = EDOM;
		break;
	    case 17:
	    case 117:
		/* log(x<0) */
		retval = -HUGE_VAL;
		errno = EDOM;
		break;
	    case 18:
	    case 118:
		/* log10(0) */
		retval = -HUGE_VAL;
		errno = EDOM;
		break;
	    case 19:
	    case 119:
		/* log10(x<0) */
		retval = -HUGE_VAL;
		errno = EDOM;
		break;
	    case 20:
	    case 120:
		/* pow(0.0,0.0) */
		/* Not an error.  */
		retval = 1.0;
		break;
	    case 21:
	    case 121:
		/* pow(x,y) overflow */
		retval = HUGE_VAL;
		y *= 0.5;
		if(x<zero&&rint(y)!=y)
		  retval = -HUGE_VAL;
		errno = ERANGE;
		break;
	    case 22:
	    case 122:
		/* pow(x,y) underflow */
		retval =  zero;
		errno = ERANGE;
		break;
	    case 23:
	    case 123:
		/* 0**neg */
		retval = -HUGE_VAL;
		errno = EDOM;
		break;
	    case 24:
	    case 124:
		/* neg**non-integral */
		retval = zero/zero;
		errno = EDOM;
		break;
	    case 25:
	    case 125:
		/* sinh(finite) overflow */
		retval = ( (x>zero) ? HUGE_VAL : -HUGE_VAL);
		errno = ERANGE;
		break;
	    case 26:
	    case 126:
		/* sqrt(x<0) */
		retval = zero/zero;
		errno = EDOM;
		break;
            case 27:
	    case 127:
		/* fmod(x,0) */
		retval = zero/zero;
		errno = EDOM;
                break;
            case 28:
	    case 128:
                /* remainder(x,0) */
		retval = zero/zero;
		errno = EDOM;
                break;
            case 29:
	    case 129:
                /* acosh(x<1) */
		retval = zero/zero;
		errno = EDOM;
                break;
            case 30:
	    case 130:
                /* atanh(|x|>1) */
		retval = zero/zero;
		errno = EDOM;
                break;
            case 31:
	    case 131:
                /* atanh(|x|=1) */
		retval = x/zero;	/* sign(x)*inf */
		errno = EDOM;
                break;
	    case 32:
	    case 132:
		/* scalb overflow */
		retval = x > zero ? HUGE_VAL : -HUGE_VAL;
		errno = ERANGE;
		break;
	    case 33:
	    case 133:
		/* scalb underflow */
		retval = copysign(zero,x);
		errno = ERANGE;
		break;
	    case 34:
	    case 134:
		/* j0(|x|>X_TLOSS) */
		retval = zero;
		errno = ERANGE;
		break;
	    case 35:
	    case 135:
		/* y0(x>X_TLOSS) */
		retval = zero;
		errno = ERANGE;
		break;
	    case 36:
	    case 136:
		/* j1(|x|>X_TLOSS) */
		retval = zero;
		errno = ERANGE;
		break;
	    case 37:
	    case 137:
		/* y1(x>X_TLOSS) */
		retval = zero;
		errno = ERANGE;
		break;
	    case 38:
	    case 138:
		/* jn(|x|>X_TLOSS) */
		retval = zero;
		errno = ERANGE;
		break;
	    case 39:
	    case 139:
		/* yn(x>X_TLOSS) */
		retval = zero;
		errno = ERANGE;
		break;
	    case 40:
	    case 140:
		/* gamma(finite) overflow */
		retval = HUGE_VAL;
		errno = ERANGE;
		break;
	    case 41:
	    case 141:
		/* gamma(-integer) or gamma(0) */
		retval = HUGE_VAL;
		errno = EDOM;
		break;
	    case 42:
	    case 142:
		/* pow(NaN,0.0) */
		/* Not an error.  */
		retval = 1.0;
		break;
	}
	return retval;
}