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
|
/* $OpenBSD: t19.c,v 1.3 2014/11/26 15:23:13 otto Exp $ */
/*
* Copyright (c) 2012 Otto Moerbeek <otto@drijf.net>
*
* Permission to use, copy, modify, and distribute this software for any
* purpose with or without fee is hereby granted, provided that the above
* copyright notice and this permission notice appear in all copies.
*
* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
* ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
* ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
* OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
#include <float.h>
#include <math.h>
#include <stdio.h>
int scale[] = { 1, 2, 3, 10, 15, 20, 30};
long double num[] = {-10, -M_PI, -3, -2, -1, -0.5, -0.01, 0, 0.01,
0.5, 1, 2, 3, M_PI, 10};
struct func {const char *name; long double (*f)(long double);};
struct func funcs[] = { {"s", sinl},
{"c", cosl},
{"e", expl},
{"l", logl},
{"a", atanl}
};
#define nitems(_a) (sizeof((_a)) / sizeof((_a)[0]))
main()
{
int ret, si, ni, fi;
int status = 0;
for (si = 0; si < nitems(scale); si++) {
for (ni = 0; ni < nitems(num); ni++) {
for (fi = 0; fi < nitems(funcs); fi++) {
char cmd[100];
FILE *fp;
long double v, d1, d2, diff, prec;
v = num[ni];
if (v == 0.0 && funcs[fi].f == logl)
continue;
snprintf(cmd, sizeof(cmd),
"bc -l -e scale=%d -e '%s(%.19Lf)' -equit",
scale[si], funcs[fi].name, v);
fp = popen(cmd, "r");
ret = fscanf(fp, "%Lf", &d1);
pclose(fp);
d2 = funcs[fi].f(v);
diff = fabsl(d1 - d2);
prec = powl(10.0L, (long double)-scale[si]);
if (prec < LDBL_EPSILON)
prec = LDBL_EPSILON;
prec *= 2;
/* XXX cheating ? */
if (funcs[fi].f == logl)
prec *= 4;
else if (funcs[fi].f == expl)
prec *= 8;
if (diff > prec) {
printf("%s %d %Le %Le %Le %Le %Le\n",
funcs[fi].name, scale[si],
v, d1, d2, diff, prec);
status = 1;
}
}
}
}
return status;
}
|
