exp.3 (3a8617a83f16ffc9db4f96e1f0f21af94078e6b1) exp.3 (7a15a32a17f4c2cbeb6f842c4c6b1cf93e4639e7)
1.\" Copyright (c) 1985, 1991 Regents of the University of California.
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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25.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
26.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
27.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
28.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
29.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
30.\" SUCH DAMAGE.
31.\"
32.\" from: @(#)exp.3 6.12 (Berkeley) 7/31/91
1.\" Copyright (c) 1985, 1991 Regents of the University of California.
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.

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

25.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
26.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
27.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
28.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
29.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
30.\" SUCH DAMAGE.
31.\"
32.\" from: @(#)exp.3 6.12 (Berkeley) 7/31/91
33.\" $Id: exp.3,v 1.7 1994/02/11 18:34:05 jtc Exp $
33.\" $Id: exp.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $
34.\"
35.Dd July 31, 1991
36.Dt EXP 3
37.Os BSD 4
38.Sh NAME
39.Nm exp ,
34.\"
35.Dd July 31, 1991
36.Dt EXP 3
37.Os BSD 4
38.Sh NAME
39.Nm exp ,
40.Nm expf ,
40.Nm exp2 ,
41.Nm exp2 ,
42.Nm exp2f ,
41.Nm exp10 ,
43.Nm exp10 ,
44.Nm exp10f ,
42.Nm expm1 ,
45.Nm expm1 ,
46.Nm expm1f ,
43.Nm log ,
47.Nm log ,
48.Nm logf ,
44.Nm log2 ,
49.Nm log2 ,
50.Nm log2f ,
45.Nm log10 ,
51.Nm log10 ,
52.Nm log10f ,
46.Nm log1p ,
53.Nm log1p ,
47.Nm pow
54.Nm log1pf ,
55.Nm pow ,
56.Nm powf
48.Nd exponential, logarithm, power functions
49.Sh SYNOPSIS
50.Fd #include <math.h>
51.Ft double
52.Fn exp "double x"
57.Nd exponential, logarithm, power functions
58.Sh SYNOPSIS
59.Fd #include <math.h>
60.Ft double
61.Fn exp "double x"
62.Ft float
63.Fn expf "float x"
53.Ft double
54.Fn expm1 "double x"
64.Ft double
65.Fn expm1 "double x"
66.Ft float
67.Fn expm1f "float x"
55.Ft double
56.Fn log "double x"
68.Ft double
69.Fn log "double x"
70.Ft float
71.Fn logf "float x"
57.Ft double
58.Fn log10 "double x"
72.Ft double
73.Fn log10 "double x"
74.Ft float
75.Fn log10f "float x"
59.Ft double
60.Fn log1p "double x"
76.Ft double
77.Fn log1p "double x"
78.Ft float
79.Fn log1pf "float x"
61.Ft double
62.Fn pow "double x" "double y"
80.Ft double
81.Fn pow "double x" "double y"
82.Ft float
83.Fn powf "float x" "float y"
63.Sh DESCRIPTION
64The
65.Fn exp
84.Sh DESCRIPTION
85The
86.Fn exp
66function computes the exponential value of the given argument
87and the
88.Fn expf
89functions compute the exponential value of the given argument
67.Fa x .
68.Pp
69The
70.Fn expm1
90.Fa x .
91.Pp
92The
93.Fn expm1
71function computes the value exp(x)\-1 accurately even for tiny argument
94and the
95.Fn expm1f
96functions compute the value exp(x)\-1 accurately even for tiny argument
72.Fa x .
73.Pp
74The
75.Fn log
97.Fa x .
98.Pp
99The
100.Fn log
76function computes the value of the natural logarithm of argument
101and the
102.Fn logf
103functions compute the value of the natural logarithm of argument
77.Fa x.
78.Pp
79The
80.Fn log10
104.Fa x.
105.Pp
106The
107.Fn log10
81function computes the value of the logarithm of argument
108and the
109.Fn log10f
110functions compute the value of the logarithm of argument
82.Fa x
83to base 10.
84.Pp
85The
86.Fn log1p
111.Fa x
112to base 10.
113.Pp
114The
115.Fn log1p
87function computes
116and the
117.Fn log1pf
118functions compute
88the value of log(1+x) accurately even for tiny argument
89.Fa x .
90.Pp
91The
92.Fn pow
119the value of log(1+x) accurately even for tiny argument
120.Fa x .
121.Pp
122The
123.Fn pow
93computes the value
124and the
125.Fn powf
126functions compute the value
94of
95.Ar x
96to the exponent
97.Ar y .
98.Sh ERROR (due to Roundoff etc.)
127of
128.Ar x
129to the exponent
130.Ar y .
131.Sh ERROR (due to Roundoff etc.)
99exp(x), log(x), expm1(x) and log1p(x) are accurate to within
132.Fn exp(x) ,
133.Fn log(x) ,
134.Fn expm1(x) and
135.Fn log1p(x)
136are accurate to within
100an
101.Em ulp ,
102and log10(x) to within about 2
103.Em ulps ;
104an
105.Em ulp
106is one
107.Em Unit

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1402**53 for
141.Tn IEEE
142754.
143.Sh RETURN VALUES
144These functions will return the appropriate computation unless an error
145occurs or an argument is out of range.
146The functions
147.Fn exp ,
137an
138.Em ulp ,
139and log10(x) to within about 2
140.Em ulps ;
141an
142.Em ulp
143is one
144.Em Unit

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1772**53 for
178.Tn IEEE
179754.
180.Sh RETURN VALUES
181These functions will return the appropriate computation unless an error
182occurs or an argument is out of range.
183The functions
184.Fn exp ,
148.Fn expm1
149and
185.Fn expm1 ,
150.Fn pow
151detect if the computed value will overflow,
152set the global variable
153.Va errno to
154.Er ERANGE
155and cause a reserved operand fault on a
156.Tn VAX
157or
158.Tn Tahoe .
186.Fn pow
187detect if the computed value will overflow,
188set the global variable
189.Va errno to
190.Er ERANGE
191and cause a reserved operand fault on a
192.Tn VAX
193or
194.Tn Tahoe .
159The function
195The functions
160.Fn pow x y
161checks to see if
162.Fa x
163< 0 and
164.Fa y
165is not an integer, in the event this is true,
166the global variable
167.Va errno

--- 120 unchanged lines hidden --- 		196.Fn pow x y
197checks to see if
198.Fa x
199< 0 and
200.Fa y
201is not an integer, in the event this is true,
202the global variable
203.Va errno

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