This file is indexed.

/usr/lib/ats2-postiats-0.1.3/libc/SATS/math.sats is in ats2-lang 0.1.3-1.

This file is owned by root:root, with mode 0o644.

The actual contents of the file can be viewed below.

  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
(***********************************************************************)
(*                                                                     *)
(*                         Applied Type System                         *)
(*                                                                     *)
(***********************************************************************)

(*
** ATS/Postiats - Unleashing the Potential of Types!
** Copyright (C) 2011-2013 Hongwei Xi, ATS Trustful Software, Inc.
** All rights reserved
**
** ATS is free software;  you can  redistribute it and/or modify it under
** the terms of  the GNU GENERAL PUBLIC LICENSE (GPL) as published by the
** Free Software Foundation; either version 3, or (at  your  option)  any
** later version.
** 
** ATS is distributed in the hope that it will be useful, but WITHOUT ANY
** WARRANTY; without  even  the  implied  warranty  of MERCHANTABILITY or
** FITNESS FOR A PARTICULAR PURPOSE.  See the  GNU General Public License
** for more details.
** 
** You  should  have  received  a  copy of the GNU General Public License
** along  with  ATS;  see the  file COPYING.  If not, please write to the
** Free Software Foundation,  51 Franklin Street, Fifth Floor, Boston, MA
** 02110-1301, USA.
*)

(* ****** ****** *)
//
// Author: Hongwei Xi (gmhwxi AT gmail DOT com)
// Start Time: April, 2013
//
(* ****** ****** *)

%{#
#include "libc/CATS/math.cats"
%} // end of [%{#]

(* ****** ****** *)

#define ATS_PACKNAME "ATSLIB.libc"
#define ATS_EXTERN_PREFIX "atslib_" // prefix for external names

(* ****** ****** *)

#define RD(x) x // for commenting: read-only
#define NSH(x) x // for commenting: no sharing
#define SHR(x) x // for commenting: it is shared

(* ****** ****** *)

macdef M_E = 2.7182818284590452354	// e
macdef M_PI = 3.14159265358979323846	// pi
macdef M_PI_2 = 1.57079632679489661923	// pi/2
macdef M_PI_4 = 0.78539816339744830962	// pi/4

(* ****** ****** *)

macdef INFINITY = $extval (float, "INFINITY")

(* ****** ****** *)
//
// _XOPEN_SOURCE >= 600 || ...
//
fun{a:t0p} isfinite (x: INV(a)):<> int
fun isfinite_float (x: float):<> int = "mac#%"
fun isfinite_double (x: double):<> int = "mac#%"
fun isfinite_ldouble (x: ldouble):<> int = "mac#%"
//
fun{a:t0p} isnormal (x: INV(a)):<> int
fun isnormal_float (x: float):<> int = "mac#%"
fun isnormal_double (x: double):<> int = "mac#%"
fun isnormal_ldouble (x: ldouble):<> int = "mac#%"
//
fun{a:t0p} fpclassify (x: INV(a)):<> int
fun fpclassify_float (x: float):<> int = "mac#%"
fun fpclassify_double (x: double):<> int = "mac#%"
fun fpclassify_ldouble (x: ldouble):<> int = "mac#%"

(* ****** ****** *)
//
// _BSD_SOURCE || _XOPEN_SOURCE || ...
//
fun{a:t0p} isnan (x: INV(a)):<> int
fun isnan_float (x: float):<> int = "mac#%"
fun isnan_double (x: double):<> int = "mac#%"
fun isnan_ldouble (x: ldouble):<> int = "mac#%"
//
(* ****** ****** *)
//
// _BSD_SOURCE || _XOPEN_SOURCE >= 600 || ...
//
fun{a:t0p} isinf (x: INV(a)):<> int
fun isinf_float (x: float):<> int = "mac#%"
fun isinf_double (x: double):<> int = "mac#%"
fun isinf_ldouble (x: ldouble):<> int = "mac#%"
//
(* ****** ****** *)
//
fun{a:t0p} ceil (x: INV(a)):<> a
//
fun ceil_float (x: float):<> float = "mac#%"
fun ceil_double (x: double):<> double = "mac#%"
fun ceil_ldouble (x: ldouble):<> ldouble = "mac#%"
//
(* ****** ****** *)
//
fun{a:t0p} floor (x: INV(a)):<> a
//
fun floor_float (x: float):<> float = "mac#%"
fun floor_double (x: double):<> double = "mac#%"
fun floor_ldouble (x: ldouble):<> ldouble = "mac#%"
//
(* ****** ****** *)
//
fun{a:t0p} round (x: INV(a)):<> a
//
fun round_float (x: float):<> float = "mac#%"
fun round_double (x: double):<> double = "mac#%"
fun round_ldouble (x: ldouble):<> ldouble = "mac#%"
//
(* ****** ****** *)
//
fun{a:t0p} trunc (x: INV(a)):<> a
//
fun trunc_float (x: float):<> float = "mac#%"
fun trunc_double (x: double):<> double = "mac#%"
fun trunc_ldouble (x: ldouble):<> ldouble = "mac#%"
//
(* ****** ****** *)

fun{
a:t0p
} fmod (x1: INV(a), x2: a):<> a
fun fmod_float (x1: float, x2: float):<> float = "mac#%"
fun fmod_double (x1: double, x2: double):<> double = "mac#%"
fun fmod_ldouble (x1: ldouble, x2: ldouble):<> ldouble = "mac#%"

(* ****** ****** *)
//
fun{
a:t0p
} fmax (x1: INV(a), x2: a):<> a
fun fmax_float (x1: float, x2: float):<> float = "mac#%"
fun fmax_double (x1: double, x2: double):<> double = "mac#%"
fun fmax_ldouble (x1: ldouble, x2: ldouble):<> ldouble = "mac#%"
//
fun{
a:t0p
} fmin (x1: INV(a), x2: a):<> a
fun fmin_float (x1: float, x2: float):<> float = "mac#%"
fun fmin_double (x1: double, x2: double):<> double = "mac#%"
fun fmin_ldouble (x1: ldouble, x2: ldouble):<> ldouble = "mac#%"
//
(* ****** ****** *)

fun{
a:t0p
} fdim (x1: INV(a), x2: a):<> a
fun fdim_float (x1: float, x2: float):<> float = "mac#%"
fun fdim_double (x1: double, x2: double):<> double = "mac#%"
fun fdim_ldouble (x1: ldouble, x2: ldouble):<> ldouble = "mac#%"

(* ****** ****** *)
//
// HX: fma (x, y, z) = x * y + z
//
fun{a:t0p} fma (x1: INV(a), x2: a, x3: a):<> a
fun fma_float (x1: float, x2: float, x3: float):<> float = "mac#%"
fun fma_double (x1: double, x2: double, x3: double):<> double = "mac#%"
fun fma_ldouble (x1: ldouble, x2: ldouble, x3: ldouble):<> ldouble = "mac#%"
//
(* ****** ****** *)

fun{a:t0p} sqrt (x: INV(a)):<> a
fun sqrt_float (f: float):<> float = "mac#%"
fun sqrt_double (d: double):<> double = "mac#%"
fun sqrt_ldouble (ld: ldouble):<> ldouble = "mac#%"

(* ****** ****** *)

fun{a:t0p} cbrt (x: INV(a)):<> a
fun cbrt_float (f: float):<> float = "mac#%"
fun cbrt_double (d: double):<> double = "mac#%"
fun cbrt_ldouble (ld: ldouble):<> ldouble = "mac#%"

(* ****** ****** *)

fun{a:t0p} pow (x1: INV(a), x2: a):<> a
fun pow_float (x1: float, x2: float):<> float = "mac#%"
fun pow_double (x1: double, x2: double):<> double = "mac#%"
fun pow_ldouble (x1: ldouble, x2: ldouble):<> ldouble = "mac#%"

(* ****** ****** *)

fun{a:t0p} exp (x: INV(a)):<> a
fun exp_float (f: float):<> float = "mac#%"
fun exp_double (d: double):<> double = "mac#%"
fun exp_ldouble (ld: ldouble):<> ldouble = "mac#%"

(* ****** ****** *)

fun{a:t0p} log (x: INV(a)):<> a
fun log_float (f: float):<> float = "mac#%"
fun log_double (d: double):<> double = "mac#%"
fun log_ldouble (ld: ldouble):<> ldouble = "mac#%"

fun{a:t0p} log10 (x: INV(a)):<> a
fun log10_float (f: float):<> float = "mac#%"
fun log10_double (d: double):<> double = "mac#%"
fun log10_ldouble (ld: ldouble):<> ldouble = "mac#%"

(* ****** ****** *)

fun{a:t0p} sin (x: INV(a)):<> a
fun sin_float (x: float):<> float = "mac#%"
fun sin_double (x: double):<> double = "mac#%"
fun sin_ldouble (x: ldouble):<> ldouble = "mac#%"

fun{a:t0p} cos (x: INV(a)):<> a
fun cos_float (x: float):<> float = "mac#%"
fun cos_double (x: double):<> double = "mac#%"
fun cos_ldouble (x: ldouble):<> ldouble = "mac#%"

fun{a:t0p} tan (x: INV(a)):<> a
fun tan_float (x: float):<> float = "mac#%"
fun tan_double (x: double):<> double = "mac#%"
fun tan_ldouble (x: ldouble):<> ldouble = "mac#%"

(* ****** ****** *)

fun{a:t0p} asin (x: INV(a)):<> a
fun asin_float (x: float):<> float = "mac#%"
fun asin_double (x: double):<> double = "mac#%"
fun asin_ldouble (x: ldouble):<> ldouble = "mac#%"

fun{a:t0p} acos (x: INV(a)):<> a
fun acos_float (x: float):<> float = "mac#%"
fun acos_double (x: double):<> double = "mac#%"
fun acos_ldouble (x: ldouble):<> ldouble = "mac#%"

fun{a:t0p} atan (x: INV(a)):<> a
fun atan_float (x: float):<> float = "mac#%"
fun atan_double (x: double):<> double = "mac#%"
fun atan_ldouble (x: ldouble):<> ldouble = "mac#%"

fun{a:t0p} atan2 (x1: INV(a), x2: a):<> a
fun atan2_float (x1: float, x2: float):<> float = "mac#%"
fun atan2_double (x1: double, x2: double):<> double = "mac#%"
fun atan2_ldouble (x1: ldouble, x2: ldouble):<> ldouble = "mac#%"

(* ****** ****** *)

fun{a:t0p} sinh (x: INV(a)):<> a
fun sinh_float (x: float):<> float = "mac#%"
fun sinh_double (x: double):<> double = "mac#%"
fun sinh_ldouble (x: ldouble):<> ldouble = "mac#%"

fun{a:t0p} cosh (x: INV(a)):<> a
fun cosh_float (x: float):<> float = "mac#%"
fun cosh_double (x: double):<> double = "mac#%"
fun cosh_ldouble (x: ldouble):<> ldouble = "mac#%"

fun{a:t0p} tanh (x: INV(a)):<> a
fun tanh_float (x: float):<> float = "mac#%"
fun tanh_double (x: double):<> double = "mac#%"
fun tanh_ldouble (x: ldouble):<> ldouble = "mac#%"

(* ****** ****** *)

fun{a:t0p} asinh (x: INV(a)):<> a
fun asinh_float (x: float):<> float = "mac#%"
fun asinh_double (x: double):<> double = "mac#%"
fun asinh_ldouble (x: ldouble):<> ldouble = "mac#%"

fun{a:t0p} acosh (x: INV(a)):<> a
fun acosh_float (x: float):<> float = "mac#%"
fun acosh_double (x: double):<> double = "mac#%"
fun acosh_ldouble (x: ldouble):<> ldouble = "mac#%"

fun{a:t0p} atanh (x: INV(a)):<> a
fun atanh_float (x: float):<> float = "mac#%"
fun atanh_double (x: double):<> double = "mac#%"
fun atanh_ldouble (x: ldouble):<> ldouble = "mac#%"

(* ****** ****** *)

(* end of [math.sats] *)