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
|
.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
.\" Distributed under GPL
.\" Based on glibc infopages
.\" and Copyright 2008, Linux Foundation, written by Michael Kerrisk
.\" <mtk.manpages@gmail.com>
.\" Modified 2004-11-15, fixed error noted by Fabian Kreutz
.\" <kreutz@dbs.uni-hannover.de>
.\"
.\" Japanese Version Copyright (c) 2002 Akihiro MOTOKI
.\" all rights reserved.
.\" Translated Sun Sep 22 09:31:52 2002
.\" by Akihiro MOTOKI <amotoki@dd.iij4u.or.jp>
.\" Updated & Modified Sat Feb 12 12:00:00 2005
.\" by SAITOH Akira <s-akira@users.sourceforge.net>
.\" Updated 2008-09-16, Akihiro MOTOKI <amotoki@dd.iij4u.or.jp>
.\"
.TH TGAMMA 3 2008-08-11 "GNU" "Linux Programmer's Manual"
.SH ̾
tgamma, tgammaf, tgammal \- Υؿ
.SH
.B #include <math.h>
.sp
.BI "double tgamma(double " x );
.br
.BI "float tgammaf(float " x );
.br
.BI "long double tgammal(long double " x );
.sp
\fI\-lm\fP ǥ롣
.sp
.in -4n
Feature Test Macro Requirements for glibc (see
.BR feature_test_macros (7)):
.in
.sp
.ad l
.BR tgamma (),
.BR tgammaf (),
.BR tgammal ():
_XOPEN_SOURCE\ >=\ 600 || _ISOC99_SOURCE; or
.I cc\ -std=c99
.ad b
.SH
ؿϰʲΤ褦:
.sp
Gamma(x) = t^(x\-1) e^\-t dt 0 ̵ޤǤʬ
.sp
δؿǤʤ٤Ƥμ¿ФƤ롣
\fIm\fP ˴ؤơʲΩ:
.sp
Gamma(m+1) = m!
.sp
Ūˤϡ٤Ƥ \fIx\fP ˴ؤưʲΩ:
.sp
Gamma(x+1) = x * Gamma(x)
.sp
ˡˤ٤Ƥ \fIx\fP ǼΩ:
.sp
Gamma(x) * Gamma(1 \- x) = PI / sin(PI * x)
.PP
.SH ֤
ȡδؿ Gamma(x) ֤
.I x
NaN ξ硢NaN ֤롣
.I x
̵ξ硢̵礬֤롣
.I x
̵ξ硢ΰ襨顼 (domain error) ȯ
NaN ֤롣
̤Сե硢ϰϥ顼 (range error) ȯ
ƴؿϤ줾
.BR HUGE_VAL ,
.BR HUGE_VALF ,
.BR HUGE_VALL ,
֤κݡŪ椬Ϳ롣
̤ե硢ϰϥ顼 (range error) ȯ
ؿ 0 ֤κݡŪ椬Ϳ롣
.I x
\-0 +0 ξ硢˥顼 (pole error) ȯ
ƴؿϤ줾
.BR HUGE_VAL ,
.BR HUGE_VALF ,
.BR HUGE_VALL ,
֤
0 Ʊ椬Ϳ롣
.SH 顼
δؿƤӽФݤ˥顼ȯȽˡˤĤƤξ
.BR math_error (7)
ȤΤȡ
.PP
ʲΥ顼ȯǽ롣
.TP
ΰ襨顼: \fIx\fP ̵
.\" FIXME . errno is not set to EDOM for x == -inf
.\" Bug raised: http://sources.redhat.com/bugzilla/show_bug.cgi?id=6809
.I errno
.B EDOM
ꤵ롣
(invalid) ư㳰
.RB ( FE_INVALID )
夬 (֥Хפ)
.TP
˥顼 (pole error): \fIx\fP +0 \-0
.I errno
.B ERANGE
ꤵ롣
0 ˤ (divide-by-zero) ư㳰
.RB ( FE_DIVBYZERO )
夬롣
.TP
ϰϥ顼 (range error): ̤ΥСե
.I errno
.B ERANGE
ꤵ롣
Сեư㳰
.RB ( FE_OVERFLOW )
夬롣
.PP
glibc ǤϡC99 POSIX.1-2001 ǵꤵƤʤʲΥ顼
롣
.TP
ϰϥ顼 (range error): ̤Υե
.\" e.g., tgamma(-172.5) on glibc 2.8/x86-32
.\" .I errno
.\" is set to
.\" .BR ERANGE .
եư㳰
.RB ( FE_UNDERFLOW )
夬롣
ξ
.I errno
ꤵʤ
.\" FIXME . Is it intentional that errno is not set:
.\" Bug raised: http://sources.redhat.com/bugzilla/show_bug.cgi?id=6810
.\"
.\" glibc (as at 2.8) also supports and an inexact
.\" exception for various cases.
.SH С
δؿ glibc С 2.1 ǽо줷
.SH
C99, POSIX.1-2001.
.SH
δؿ (true) ؿפȸƤФʤФʤʤä
ʤʤ顢¾֤ͤ
.BR gamma (3)
ȤؿǤ¸ߤ뤫Ǥ (ܺ٤ˤĤƤ
.BR gamma (3)
)
.SH Х
.I x
̵ξ硢
.I errno
ꤵʤ
.RB ( EDOM
ꤵ٤Ǥ)
.\" Bug raised: http://sources.redhat.com/bugzilla/show_bug.cgi?id=6809
glibc С 2.3.3 Ǥϡ
+0 \-0 Ϥȡ˥顼ǤϤʤ
ΰ襨顼ְäȯƤ
(ΰ襨顼ξ硢
.I errno
.B EDOM
ꤵ졢
.B FE_INVALID
㳰ȯ)
.SH Ϣ
.BR gamma (3),
.BR lgamma (3)
|
