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cimag.3 (140177) cimag.3 (181377)
1.\" Copyright (c) 2004 Stefan Farfeleder
2.\" All rights reserved.
3.\"
4.\" Redistribution and use in source and binary forms, with or without
5.\" modification, are permitted provided that the following conditions
6.\" are met:
7.\" 1. Redistributions of source code must retain the above copyright
8.\" notice, this list of conditions and the following disclaimer.

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17.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
18.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
19.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
20.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
21.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
22.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
23.\" SUCH DAMAGE.
24.\"
1.\" Copyright (c) 2004 Stefan Farfeleder
2.\" All rights reserved.
3.\"
4.\" Redistribution and use in source and binary forms, with or without
5.\" modification, are permitted provided that the following conditions
6.\" are met:
7.\" 1. Redistributions of source code must retain the above copyright
8.\" notice, this list of conditions and the following disclaimer.

--- 8 unchanged lines hidden (view full) ---

17.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
18.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
19.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
20.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
21.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
22.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
23.\" SUCH DAMAGE.
24.\"
25.\" $FreeBSD: head/lib/msun/man/cimag.3 140177 2005-01-13 10:43:01Z ru $
25.\" $FreeBSD: head/lib/msun/man/cimag.3 181377 2008-08-07 15:07:48Z das $
26.\"
26.\"
27.Dd August 7, 2004
27.Dd August 7, 2008
28.Dt CIMAG 3
29.Os
30.Sh NAME
31.Nm cimag , cimagf , cimagl ,
32.Nm conj , conjf , conjl ,
28.Dt CIMAG 3
29.Os
30.Sh NAME
31.Nm cimag , cimagf , cimagl ,
32.Nm conj , conjf , conjl ,
33.Nm cproj , cprojf , cprojl ,
33.Nm creal , crealf , creall
34.Nd "functions to manipulate complex numbers"
35.Sh LIBRARY
36.Lb libm
37.Sh SYNOPSIS
38.In complex.h
39.Ft double
40.Fn cimag "double complex z"
41.Ft float
42.Fn cimagf "float complex z"
43.Ft "long double"
44.Fn cimagl "long double complex z"
45.Ft "double complex"
46.Fn conj "double complex z"
47.Ft "float complex"
48.Fn conjf "float complex z"
49.Ft "long double complex"
50.Fn conjl "long double complex z"
34.Nm creal , crealf , creall
35.Nd "functions to manipulate complex numbers"
36.Sh LIBRARY
37.Lb libm
38.Sh SYNOPSIS
39.In complex.h
40.Ft double
41.Fn cimag "double complex z"
42.Ft float
43.Fn cimagf "float complex z"
44.Ft "long double"
45.Fn cimagl "long double complex z"
46.Ft "double complex"
47.Fn conj "double complex z"
48.Ft "float complex"
49.Fn conjf "float complex z"
50.Ft "long double complex"
51.Fn conjl "long double complex z"
52.Ft "double complex"
53.Fn cproj "double complex z"
54.Ft "float complex"
55.Fn cprojf "float complex z"
56.Ft "long double complex"
57.Fn cprojl "long double complex z"
51.Ft double
52.Fn creal "double complex z"
53.Ft float
54.Fn crealf "float complex z"
55.Ft "long double"
56.Fn creall "long double complex z"
57.Sh DESCRIPTION
58Let
59.Sm off
60.Fa a + b * Em i
61.Sm on
62denote the complex number
63.Fa z .
64.Pp
65The
58.Ft double
59.Fn creal "double complex z"
60.Ft float
61.Fn crealf "float complex z"
62.Ft "long double"
63.Fn creall "long double complex z"
64.Sh DESCRIPTION
65Let
66.Sm off
67.Fa a + b * Em i
68.Sm on
69denote the complex number
70.Fa z .
71.Pp
72The
73.Fn creal
74functions return the real part
75.Fa a ,
76and the
66.Fn cimag
67functions return the imaginary part
68.Fa b .
69.Pp
70The
71.Fn conj
72functions return the complex conjugate
73.Sm off
74.Fa a - b * Em i .
75.Sm on
76.Pp
77The
77.Fn cimag
78functions return the imaginary part
79.Fa b .
80.Pp
81The
82.Fn conj
83functions return the complex conjugate
84.Sm off
85.Fa a - b * Em i .
86.Sm on
87.Pp
88The
78.Fn creal
79functions return the real part
80.Fa a .
89.Fn cproj
90functions return the projection onto the Riemann sphere.
91If
92.Fa z
93contains an infinite component, then the result is
94.Fa \*(If \*(Pm 0 Ns * Ns Em i ,
95where the (zero) imaginary part of the result has the same sign as
96.Fa b .
97Otherwise, the result is
98.Fa z .
99.Pp
100These functions do not signal any floating point exceptions.
81.Sh STANDARDS
82The
83.Fn cimag ,
101.Sh STANDARDS
102The
103.Fn cimag ,
84.Fn conj
104.Fn conj ,
105.Fn cproj ,
85and
86.Fn creal
87functions conform to
88.St -isoC-99 .
89.Sh HISTORY
90The
91.Fn cimag ,
92.Fn conj
93and
94.Fn creal
95functions first appeared in
96.Fx 5.3 .
106and
107.Fn creal
108functions conform to
109.St -isoC-99 .
110.Sh HISTORY
111The
112.Fn cimag ,
113.Fn conj
114and
115.Fn creal
116functions first appeared in
117.Fx 5.3 .
118The
119.Fn cproj
120functions appeared in
121.Fx 8.0.