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1//
2// Copyright (C) 2000, 2001, Intel Corporation
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3// All rights reserved.
4//
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5// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
6// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
8da2915d 7//
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8// Redistribution and use in source and binary forms, with or without
9// modification, are permitted provided that the following conditions are
10// met:
11//
12// * Redistributions of source code must retain the above copyright
13// notice, this list of conditions and the following disclaimer.
14//
15// * Redistributions in binary form must reproduce the above copyright
16// notice, this list of conditions and the following disclaimer in the
17// documentation and/or other materials provided with the distribution.
18//
19// * The name of Intel Corporation may not be used to endorse or promote
20// products derived from this software without specific prior written
21// permission.
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22//
23// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
24// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
25// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
26// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
27// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
28// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
29// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
30// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
31// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
32// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
33// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
34//
35// Intel Corporation is the author of this code, and requests that all
36// problem reports or change requests be submitted to it directly at
a334319f 37// http://developer.intel.com/opensource.
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38//
39
40// History: 02/02/2000 Initial version
41// 2/28/2000 added tags for logb and nextafter
a334319f 42// 3/22/2000 Changes to support _LIB_VERSION variable
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43// and filled some enum gaps. Added support for C99.
44// 5/31/2000 added prototypes for __libm_frexp_4l/8l
a334319f 45// 8/10/2000 Changed declaration of _LIB_VERSION to work for library
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46// builds and other application builds (precompiler directives).
47// 8/11/2000 Added pointers-to-matherr-functions declarations to allow
48// for user-defined matherr functions in the dll build.
49// 12/07/2000 Added scalbn error_types values.
50//
51
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52#ifndef __ASSEMBLER__
53#include <math.h>
54
55float __libm_frexp_4f( float x, int* exp);
56float _GI___libm_frexp_4f( float x, int* exp);
57float __libm_frexp_8f( float x, int* exp);
58double __libm_frexp_4( double x, int* exp);
59double _GI___libm_frexp_4( double x, int* exp);
60double __libm_frexp_8( double x, int* exp);
61long double __libm_frexp_4l( long double x, int* exp);
62long double _GI___libm_frexp_4l( long double x, int* exp);
63long double __libm_frexp_8l( long double x, int* exp);
64void __libm_sincos_pi4(double,double*,double*,int);
65void __libm_y0y1(double , double *, double *);
66void __libm_j0j1(double , double *, double *);
67double __libm_lgamma_kernel(double,int*,int,int);
68double __libm_j0(double);
69double __libm_j1(double);
70double __libm_jn(int,double);
71double __libm_y0(double);
72double __libm_y1(double);
73double __libm_yn(int,double);
74
75extern double rint(double);
76extern double sqrt(double);
77extern double fabs(double);
78extern double log(double);
79extern double log1p(double);
80extern double sqrt(double);
81extern double sin(double);
82extern double exp(double);
83extern double modf(double, double *);
84extern double asinh(double);
85extern double acosh(double);
86extern double atanh(double);
87extern double tanh(double);
88extern double erf(double);
89extern double erfc(double);
90extern double j0(double);
91extern double j1(double);
92extern double jn(int, double);
93extern double y0(double);
94extern double y1(double);
95extern double yn(int, double);
96
97extern float fabsf(float);
98extern float asinhf(float);
99extern float acoshf(float);
100extern float atanhf(float);
101extern float tanhf(float);
102extern float erff(float);
103extern float erfcf(float);
104extern float j0f(float);
105extern float j1f(float);
106extern float jnf(int, float);
107extern float y0f(float);
108extern float y1f(float);
109extern float ynf(int, float);
110
111extern long double log1pl(long double);
112extern long double logl(long double);
113extern long double sqrtl(long double);
114extern long double expl(long double);
115
116extern long lround(double);
117extern long lroundf(float);
118extern long lroundl(long double);
8da2915d 119
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120#if !(defined(SIZE_INT_32) || defined(SIZE_INT_64))
121 #error integer size not established; define SIZE_INT_32 or SIZE_INT_64
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122#endif
123
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124struct fp64 { /*/ sign:1 exponent:11 significand:52 (implied leading 1)*/
125 unsigned lo_significand:32;
126 unsigned hi_significand:20;
127 unsigned exponent:11;
128 unsigned sign:1;
129};
8da2915d 130
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131#define HI_SIGNIFICAND_LESS(X, HI) ((X)->hi_significand < 0x ## HI)
132#define f64abs(x) ((x) < 0.0 ? -(x) : (x))
8da2915d 133
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134typedef enum
135{
136 logl_zero=0, logl_negative, /* 0, 1 */
137 log_zero, log_negative, /* 2, 3 */
138 logf_zero, logf_negative, /* 4, 5 */
139 log10l_zero, log10l_negative, /* 6, 7 */
140 log10_zero, log10_negative, /* 8, 9 */
141 log10f_zero, log10f_negative, /* 10, 11 */
142 expl_overflow, expl_underflow, /* 12, 13 */
143 exp_overflow, exp_underflow, /* 14, 15 */
144 expf_overflow, expf_underflow, /* 16, 17 */
145 powl_overflow, powl_underflow, /* 18, 19 */
146 powl_zero_to_zero, /* 20 */
147 powl_zero_to_negative, /* 21 */
148 powl_neg_to_non_integer, /* 22 */
149 powl_nan_to_zero, /* 23 */
150 pow_overflow, pow_underflow, /* 24, 25 */
151 pow_zero_to_zero, /* 26 */
152 pow_zero_to_negative, /* 27 */
153 pow_neg_to_non_integer, /* 28 */
154 pow_nan_to_zero, /* 29 */
155 powf_overflow, powf_underflow, /* 30, 31 */
156 powf_zero_to_zero, /* 32 */
157 powf_zero_to_negative, /* 33 */
158 powf_neg_to_non_integer, /* 34 */
159 powf_nan_to_zero, /* 35 */
160 atan2l_zero, /* 36 */
161 atan2_zero, /* 37 */
162 atan2f_zero, /* 38 */
163 expm1l_overflow, /* 39 */
164 expm1l_underflow, /* 40 */
165 expm1_overflow, /* 41 */
166 expm1_underflow, /* 42 */
167 expm1f_overflow, /* 43 */
168 expm1f_underflow, /* 44 */
169 hypotl_overflow, /* 45 */
170 hypot_overflow, /* 46 */
171 hypotf_overflow, /* 47 */
172 sqrtl_negative, /* 48 */
173 sqrt_negative, /* 49 */
174 sqrtf_negative, /* 50 */
175 scalbl_overflow, scalbl_underflow, /* 51, 52 */
176 scalb_overflow, scalb_underflow, /* 53, 54 */
177 scalbf_overflow, scalbf_underflow, /* 55, 56 */
178 acosl_gt_one, acos_gt_one, acosf_gt_one, /* 57, 58, 59 */
179 asinl_gt_one, asin_gt_one, asinf_gt_one, /* 60, 61, 62 */
180 coshl_overflow, cosh_overflow, coshf_overflow, /* 63, 64, 65 */
181 y0l_zero, y0l_negative,y0l_gt_loss, /* 66, 67, 68 */
182 y0_zero, y0_negative,y0_gt_loss, /* 69, 70, 71 */
183 y0f_zero, y0f_negative,y0f_gt_loss, /* 72, 73, 74 */
184 y1l_zero, y1l_negative,y1l_gt_loss, /* 75, 76, 77 */
185 y1_zero, y1_negative,y1_gt_loss, /* 78, 79, 80 */
186 y1f_zero, y1f_negative,y1f_gt_loss, /* 81, 82, 83 */
187 ynl_zero, ynl_negative,ynl_gt_loss, /* 84, 85, 86 */
188 yn_zero, yn_negative,yn_gt_loss, /* 87, 88, 89 */
189 ynf_zero, ynf_negative,ynf_gt_loss, /* 90, 91, 92 */
190 j0l_gt_loss, /* 93 */
191 j0_gt_loss, /* 94 */
192 j0f_gt_loss, /* 95 */
193 j1l_gt_loss, /* 96 */
194 j1_gt_loss, /* 97 */
195 j1f_gt_loss, /* 98 */
196 jnl_gt_loss, /* 99 */
197 jn_gt_loss, /* 100 */
198 jnf_gt_loss, /* 101 */
199 lgammal_overflow, lgammal_negative,lgammal_reserve, /* 102, 103, 104 */
200 lgamma_overflow, lgamma_negative,lgamma_reserve, /* 105, 106, 107 */
201 lgammaf_overflow, lgammaf_negative, lgammaf_reserve,/* 108, 109, 110 */
202 gammal_overflow,gammal_negative, gammal_reserve, /* 111, 112, 113 */
203 gamma_overflow, gamma_negative, gamma_reserve, /* 114, 115, 116 */
204 gammaf_overflow,gammaf_negative,gammaf_reserve, /* 117, 118, 119 */
205 fmodl_by_zero, /* 120 */
206 fmod_by_zero, /* 121 */
207 fmodf_by_zero, /* 122 */
208 remainderl_by_zero, /* 123 */
209 remainder_by_zero, /* 124 */
210 remainderf_by_zero, /* 125 */
211 sinhl_overflow, sinh_overflow, sinhf_overflow, /* 126, 127, 128 */
212 atanhl_gt_one, atanhl_eq_one, /* 129, 130 */
213 atanh_gt_one, atanh_eq_one, /* 131, 132 */
214 atanhf_gt_one, atanhf_eq_one, /* 133, 134 */
215 acoshl_lt_one, /* 135 */
216 acosh_lt_one, /* 136 */
217 acoshf_lt_one, /* 137 */
218 log1pl_zero, log1pl_negative, /* 138, 139 */
219 log1p_zero, log1p_negative, /* 140, 141 */
220 log1pf_zero, log1pf_negative, /* 142, 143 */
221 ldexpl_overflow, ldexpl_underflow, /* 144, 145 */
222 ldexp_overflow, ldexp_underflow, /* 146, 147 */
223 ldexpf_overflow, ldexpf_underflow, /* 148, 149 */
224 logbl_zero, logb_zero, logbf_zero, /* 150, 151, 152 */
225 nextafterl_overflow, nextafter_overflow,
226 nextafterf_overflow, /* 153, 154, 155 */
227 ilogbl_zero, ilogb_zero, ilogbf_zero, /* 156, 157, 158 */
228 exp2l_overflow, exp2l_underflow, /* 159, 160 */
229 exp2_overflow, exp2_underflow, /* 161, 162 */
230 exp2f_overflow, exp2f_underflow, /* 163, 164 */
231 exp10l_overflow, exp10_overflow,
232 exp10f_overflow, /* 165, 166, 167 */
233 log2l_zero, log2l_negative, /* 168, 169 */
234 log2_zero, log2_negative, /* 170, 171 */
235 log2f_zero, log2f_negative, /* 172, 173 */
236 scalbnl_overflow, scalbnl_underflow, /* 174, 175 */
237 scalbn_overflow, scalbn_underflow, /* 176, 177 */
238 scalbnf_overflow, scalbnf_underflow /* 178, 179 */
239} error_types;
240
241void __libm_error_support(void*,void*,void*,error_types);
242libc_hidden_proto(__libm_error_support)
243
244#define BIAS_64 1023
245#define EXPINF_64 2047
246
247#define DOUBLE_HEX(HI, LO) 0x ## LO, 0x ## HI
248
249#if 0
250static const unsigned INF[] = {
251 DOUBLE_HEX(7ff00000, 00000000),
252 DOUBLE_HEX(fff00000, 00000000)
253};
8da2915d 254
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255static const double _zeroo = 0.0;
256static const double _bigg = 1.0e300;
257static const double _ponee = 1.0;
258static const double _nonee = -1.0;
8da2915d 259
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260#define INVALID (_zeroo * *((double*)&INF[0]))
261#define PINF *((double*)&INF[0])
262#define NINF -PINF
263#define PINF_DZ (_ponee/_zeroo)
264#define X_TLOSS 1.41484755040568800000e+16
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265#endif
266
267struct exceptionf
268{
269 int type;
270 char *name;
271 float arg1, arg2, retval;
272};
273
274# ifdef __cplusplus
275struct __exception
276{
277 int type;
278 char *name;
279 double arg1, arg2, retval;
280};
281# else
282
283# ifndef _LIBC
284struct exception
285{
286 int type;
287 char *name;
288 double arg1, arg2, retval;
289};
290# endif
291# endif
292
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293
294
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295struct exceptionl
296{
297 int type;
298 char *name;
299 long double arg1, arg2, retval;
300};
301
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302#ifdef _MS_
303#define MATHERR_F _matherrf
304#define MATHERR_D _matherr
8da2915d 305#else
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306#define MATHERR_F matherrf
307#define MATHERR_D matherr
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308#endif
309
310# ifdef __cplusplus
a334319f 311#define EXC_DECL_D __exception
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312#else
313// exception is a reserved name in C++
a334319f 314#define EXC_DECL_D exception
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315#endif
316
317extern int MATHERR_F(struct exceptionf*);
318extern int MATHERR_D(struct EXC_DECL_D*);
319extern int matherrl(struct exceptionl*);
320
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321
322/* Set these appropriately to make thread Safe */
323#define ERRNO_RANGE errno = ERANGE
324#define ERRNO_DOMAIN errno = EDOM
325
326
327// Add code to support _LIB_VERSION
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328#ifndef _LIBC
329typedef enum
330{
331 _IEEE_ = -1, // IEEE-like behavior
332 _SVID_, // SysV, Rel. 4 behavior
333 _XOPEN_, // Unix98
334 _POSIX_, // Posix
335 _ISOC_ // ISO C9X
336} _LIB_VERSION_TYPE;
0ecb606c 337
a334319f 338extern _LIB_VERSION_TYPE _LIB_VERSION;
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339#endif
340
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341// This is a run-time variable and may effect
342// floating point behavior of the libm functions
0ecb606c 343
a334319f 344#elif defined _LIBC
0ecb606c 345
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346# if !defined NOT_IN_libc && defined SHARED && defined DO_VERSIONING \
347 && !defined HAVE_BROKEN_ALIAS_ATTRIBUTE && !defined NO_HIDDEN
348# define __libm_error_support __GI___libm_error_support
349# endif
27b02589 350
a334319f 351#endif /* __ASSEMBLER__ */
8da2915d 352
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353/* Support for compatible assembler handling. */
354#if !defined L && defined _LIBC
355#define L(name) .L##name
8da2915d 356#endif
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357#ifdef __ELF__
358#define ASM_SIZE_DIRECTIVE(name) .size name,.-name
359#define ASM_TYPE_DIRECTIVE(name,T) .type name,T
8da2915d 360#else
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361#define ASM_SIZE_DIRECTIVE(name)
362#define ASM_TYPE_DIRECTIVE(name,T)
8da2915d 363#endif