po4a/complex/po/complex.pot

   1 # SOME DESCRIPTIVE TITLE
   2 # Copyright (C) YEAR Free Software Foundation, Inc.
   3 # This file is distributed under the same license as the PACKAGE package.
   4 # FIRST AUTHOR <EMAIL@ADDRESS>, YEAR.
   5 #
   6 #, fuzzy
   7 msgid ""
   8 msgstr ""
   9 "Project-Id-Version: PACKAGE VERSION\n"
  10 "POT-Creation-Date: 2012-05-01 04:38+0900\n"
  11 "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n"
  12 "Last-Translator: FULL NAME <EMAIL@ADDRESS>\n"
  13 "Language-Team: LANGUAGE <LL@li.org>\n"
  14 "Language: \n"
  15 "MIME-Version: 1.0\n"
  16 "Content-Type: text/plain; charset=CHARSET\n"
  17 "Content-Transfer-Encoding: 8bit\n"
  18
  19 #. type: TH
  20 #: build/C/man3/cabs.3:4
  21 #, no-wrap
  22 msgid "CABS"
  23 msgstr ""
  24
  25 #. type: TH
  26 #: build/C/man3/cabs.3:4 build/C/man3/carg.3:4 build/C/man3/casin.3:4 build/C/man3/casinh.3:4 build/C/man3/ccos.3:4 build/C/man3/ccosh.3:4 build/C/man3/cexp.3:4 build/C/man3/cimag.3:4 build/C/man3/clog.3:4 build/C/man3/clog10.3:4 build/C/man3/conj.3:4 build/C/man3/cpow.3:4 build/C/man3/creal.3:4 build/C/man3/csin.3:4 build/C/man3/csinh.3:4 build/C/man3/csqrt.3:4 build/C/man3/ctan.3:4 build/C/man3/ctanh.3:4
  27 #, no-wrap
  28 msgid "2008-08-11"
  29 msgstr ""
  30
  31 #. type: TH
  32 #: build/C/man3/cabs.3:4 build/C/man3/cacos.3:5 build/C/man3/cacosh.3:5 build/C/man3/carg.3:4 build/C/man3/casin.3:4 build/C/man3/casinh.3:4 build/C/man3/catan.3:5 build/C/man3/catanh.3:5 build/C/man3/ccos.3:4 build/C/man3/ccosh.3:4 build/C/man3/cerf.3:4 build/C/man3/cexp.3:4 build/C/man3/cexp2.3:4 build/C/man3/cimag.3:4 build/C/man3/clog.3:4 build/C/man3/clog10.3:4 build/C/man3/clog2.3:4 build/C/man7/complex.7:4 build/C/man3/conj.3:4 build/C/man3/cpow.3:4 build/C/man3/cproj.3:4 build/C/man3/creal.3:4 build/C/man3/csin.3:4 build/C/man3/csinh.3:4 build/C/man3/csqrt.3:4 build/C/man3/ctan.3:4 build/C/man3/ctanh.3:4
  33 #, no-wrap
  34 msgid "Linux Programmer's Manual"
  35 msgstr ""
  36
  37 #. type: SH
  38 #: build/C/man3/cabs.3:5 build/C/man3/cacos.3:6 build/C/man3/cacosh.3:6 build/C/man3/carg.3:5 build/C/man3/casin.3:5 build/C/man3/casinh.3:5 build/C/man3/catan.3:6 build/C/man3/catanh.3:6 build/C/man3/ccos.3:5 build/C/man3/ccosh.3:5 build/C/man3/cerf.3:5 build/C/man3/cexp.3:5 build/C/man3/cexp2.3:5 build/C/man3/cimag.3:5 build/C/man3/clog.3:5 build/C/man3/clog10.3:5 build/C/man3/clog2.3:5 build/C/man7/complex.7:5 build/C/man3/conj.3:5 build/C/man3/cpow.3:5 build/C/man3/cproj.3:5 build/C/man3/creal.3:5 build/C/man3/csin.3:5 build/C/man3/csinh.3:5 build/C/man3/csqrt.3:5 build/C/man3/ctan.3:5 build/C/man3/ctanh.3:5
  39 #, no-wrap
  40 msgid "NAME"
  41 msgstr ""
  42
  43 #. type: Plain text
  44 #: build/C/man3/cabs.3:7
  45 msgid "cabs, cabsf, cabsl - absolute value of a complex number"
  46 msgstr ""
  47
  48 #. type: SH
  49 #: build/C/man3/cabs.3:7 build/C/man3/cacos.3:8 build/C/man3/cacosh.3:8 build/C/man3/carg.3:7 build/C/man3/casin.3:7 build/C/man3/casinh.3:7 build/C/man3/catan.3:8 build/C/man3/catanh.3:8 build/C/man3/ccos.3:7 build/C/man3/ccosh.3:7 build/C/man3/cerf.3:7 build/C/man3/cexp.3:7 build/C/man3/cexp2.3:7 build/C/man3/cimag.3:7 build/C/man3/clog.3:7 build/C/man3/clog10.3:7 build/C/man3/clog2.3:7 build/C/man7/complex.7:7 build/C/man3/conj.3:7 build/C/man3/cpow.3:7 build/C/man3/cproj.3:7 build/C/man3/creal.3:7 build/C/man3/csin.3:7 build/C/man3/csinh.3:7 build/C/man3/csqrt.3:7 build/C/man3/ctan.3:7 build/C/man3/ctanh.3:7
  50 #, no-wrap
  51 msgid "SYNOPSIS"
  52 msgstr ""
  53
  54 #. type: Plain text
  55 #: build/C/man3/cabs.3:9 build/C/man3/cacos.3:10 build/C/man3/cacosh.3:10 build/C/man3/carg.3:9 build/C/man3/casin.3:9 build/C/man3/casinh.3:9 build/C/man3/catan.3:10 build/C/man3/catanh.3:10 build/C/man3/ccos.3:9 build/C/man3/ccosh.3:9 build/C/man3/cerf.3:9 build/C/man3/cexp.3:9 build/C/man3/cexp2.3:9 build/C/man3/cimag.3:9 build/C/man3/clog.3:9 build/C/man3/clog10.3:11 build/C/man3/clog2.3:9 build/C/man7/complex.7:9 build/C/man3/conj.3:9 build/C/man3/cproj.3:9 build/C/man3/creal.3:9 build/C/man3/csin.3:9 build/C/man3/csinh.3:9 build/C/man3/csqrt.3:9 build/C/man3/ctan.3:9 build/C/man3/ctanh.3:9
  56 msgid "B<#include E<lt>complex.hE<gt>>"
  57 msgstr ""
  58
  59 #. type: Plain text
  60 #: build/C/man3/cabs.3:11
  61 msgid "B<double cabs(double complex >I<z>B<);>"
  62 msgstr ""
  63
  64 #. type: Plain text
  65 #: build/C/man3/cabs.3:13
  66 msgid "B<float cabsf(float complex >I<z>B<);>"
  67 msgstr ""
  68
  69 #. type: Plain text
  70 #: build/C/man3/cabs.3:15
  71 msgid "B<long double cabsl(long double complex >I<z>B<);>"
  72 msgstr ""
  73
  74 #. type: Plain text
  75 #: build/C/man3/cabs.3:17 build/C/man3/cacos.3:18 build/C/man3/cacosh.3:18 build/C/man3/carg.3:17 build/C/man3/casin.3:17 build/C/man3/casinh.3:17 build/C/man3/catan.3:18 build/C/man3/catanh.3:18 build/C/man3/ccos.3:17 build/C/man3/ccosh.3:17 build/C/man3/cerf.3:23 build/C/man3/cexp.3:17 build/C/man3/cexp2.3:17 build/C/man3/cimag.3:17 build/C/man3/clog.3:17 build/C/man3/clog10.3:19 build/C/man3/conj.3:17 build/C/man3/cproj.3:17 build/C/man3/creal.3:17 build/C/man3/csin.3:17 build/C/man3/csinh.3:17 build/C/man3/csqrt.3:17 build/C/man3/ctan.3:17 build/C/man3/ctanh.3:17
  76 msgid "Link with I<-lm>."
  77 msgstr ""
  78
  79 #. type: SH
  80 #: build/C/man3/cabs.3:17 build/C/man3/cacos.3:18 build/C/man3/cacosh.3:18 build/C/man3/carg.3:17 build/C/man3/casin.3:17 build/C/man3/casinh.3:17 build/C/man3/catan.3:18 build/C/man3/catanh.3:18 build/C/man3/ccos.3:17 build/C/man3/ccosh.3:17 build/C/man3/cerf.3:23 build/C/man3/cexp.3:17 build/C/man3/cexp2.3:17 build/C/man3/cimag.3:17 build/C/man3/clog.3:17 build/C/man3/clog10.3:19 build/C/man3/clog2.3:17 build/C/man7/complex.7:9 build/C/man3/conj.3:17 build/C/man3/cpow.3:20 build/C/man3/cproj.3:17 build/C/man3/creal.3:17 build/C/man3/csin.3:17 build/C/man3/csinh.3:17 build/C/man3/csqrt.3:17 build/C/man3/ctan.3:17 build/C/man3/ctanh.3:17
  81 #, no-wrap
  82 msgid "DESCRIPTION"
  83 msgstr ""
  84
  85 #. type: Plain text
  86 #: build/C/man3/cabs.3:23
  87 msgid ""
  88 "The B<cabs>()  function returns the absolute value of the complex number "
  89 "I<z>.  The result is a real number."
  90 msgstr ""
  91
  92 #. type: SH
  93 #: build/C/man3/cabs.3:23 build/C/man3/cacos.3:33 build/C/man3/cacosh.3:36 build/C/man3/carg.3:45 build/C/man3/casin.3:32 build/C/man3/casinh.3:32 build/C/man3/catan.3:31 build/C/man3/catanh.3:33 build/C/man3/ccos.3:23 build/C/man3/ccosh.3:23 build/C/man3/cexp.3:27 build/C/man3/cimag.3:28 build/C/man3/clog.3:36 build/C/man3/clog10.3:32 build/C/man3/conj.3:29 build/C/man3/cpow.3:28 build/C/man3/cproj.3:27 build/C/man3/creal.3:28 build/C/man3/csin.3:23 build/C/man3/csinh.3:23 build/C/man3/csqrt.3:24 build/C/man3/ctan.3:23 build/C/man3/ctanh.3:24
  94 #, no-wrap
  95 msgid "VERSIONS"
  96 msgstr ""
  97
  98 #. type: Plain text
  99 #: build/C/man3/cabs.3:25 build/C/man3/cacos.3:35 build/C/man3/cacosh.3:38 build/C/man3/carg.3:47 build/C/man3/casin.3:34 build/C/man3/casinh.3:34 build/C/man3/catan.3:33 build/C/man3/catanh.3:35 build/C/man3/ccos.3:25 build/C/man3/ccosh.3:25 build/C/man3/cexp.3:29 build/C/man3/cimag.3:30 build/C/man3/clog.3:38 build/C/man3/clog10.3:34 build/C/man3/conj.3:31 build/C/man3/cpow.3:30 build/C/man3/cproj.3:29 build/C/man3/creal.3:30 build/C/man3/csin.3:25 build/C/man3/csinh.3:25 build/C/man3/csqrt.3:26 build/C/man3/ctan.3:25 build/C/man3/ctanh.3:26
 100 msgid "These functions first appeared in glibc in version 2.1."
 101 msgstr ""
 102
 103 #. type: SH
 104 #: build/C/man3/cabs.3:25 build/C/man3/cacos.3:35 build/C/man3/cacosh.3:38 build/C/man3/carg.3:47 build/C/man3/casin.3:34 build/C/man3/casinh.3:34 build/C/man3/catan.3:33 build/C/man3/catanh.3:35 build/C/man3/ccos.3:25 build/C/man3/ccosh.3:25 build/C/man3/cerf.3:32 build/C/man3/cexp.3:29 build/C/man3/cexp2.3:20 build/C/man3/cimag.3:30 build/C/man3/clog.3:38 build/C/man3/clog10.3:34 build/C/man3/clog2.3:31 build/C/man3/conj.3:31 build/C/man3/cpow.3:30 build/C/man3/cproj.3:29 build/C/man3/creal.3:30 build/C/man3/csin.3:25 build/C/man3/csinh.3:25 build/C/man3/csqrt.3:26 build/C/man3/ctan.3:25 build/C/man3/ctanh.3:26
 105 #, no-wrap
 106 msgid "CONFORMING TO"
 107 msgstr ""
 108
 109 #. type: Plain text
 110 #: build/C/man3/cabs.3:27 build/C/man3/cacos.3:37 build/C/man3/cacosh.3:40 build/C/man3/carg.3:49 build/C/man3/casin.3:36 build/C/man3/casinh.3:36 build/C/man3/catan.3:35 build/C/man3/catanh.3:37 build/C/man3/ccos.3:27 build/C/man3/ccosh.3:27 build/C/man3/cexp.3:31 build/C/man3/cimag.3:32 build/C/man3/clog.3:40 build/C/man3/conj.3:33 build/C/man3/cpow.3:32 build/C/man3/cproj.3:31 build/C/man3/creal.3:32 build/C/man3/csin.3:27 build/C/man3/csinh.3:27 build/C/man3/csqrt.3:28 build/C/man3/ctan.3:27 build/C/man3/ctanh.3:28
 111 msgid "C99."
 112 msgstr ""
 113
 114 #. type: SH
 115 #: build/C/man3/cabs.3:27 build/C/man3/cimag.3:32 build/C/man3/cproj.3:31 build/C/man3/creal.3:32
 116 #, no-wrap
 117 msgid "NOTES"
 118 msgstr ""
 119
 120 #. type: Plain text
 121 #: build/C/man3/cabs.3:32
 122 msgid ""
 123 "The function is actually an alias for I<hypot(a,\\ b)> (or, equivalently, "
 124 "I<sqrt(a*a\\ +\\ b*b)>)."
 125 msgstr ""
 126
 127 #. type: SH
 128 #: build/C/man3/cabs.3:32 build/C/man3/cacos.3:70 build/C/man3/cacosh.3:70 build/C/man3/carg.3:49 build/C/man3/casin.3:36 build/C/man3/casinh.3:36 build/C/man3/catan.3:66 build/C/man3/catanh.3:67 build/C/man3/ccos.3:27 build/C/man3/ccosh.3:27 build/C/man3/cerf.3:37 build/C/man3/cexp.3:31 build/C/man3/cexp2.3:25 build/C/man3/cimag.3:35 build/C/man3/clog.3:40 build/C/man3/clog10.3:37 build/C/man3/clog2.3:36 build/C/man7/complex.7:52 build/C/man3/conj.3:33 build/C/man3/cpow.3:32 build/C/man3/cproj.3:35 build/C/man3/creal.3:35 build/C/man3/csin.3:27 build/C/man3/csinh.3:27 build/C/man3/csqrt.3:28 build/C/man3/ctan.3:27 build/C/man3/ctanh.3:28
 129 #, no-wrap
 130 msgid "SEE ALSO"
 131 msgstr ""
 132
 133 #. type: Plain text
 134 #: build/C/man3/cabs.3:37
 135 msgid "B<abs>(3), B<cimag>(3), B<hypot>(3), B<complex>(7)"
 136 msgstr ""
 137
 138 #. type: SH
 139 #: build/C/man3/cabs.3:37 build/C/man3/cacos.3:74 build/C/man3/cacosh.3:76 build/C/man3/carg.3:52 build/C/man3/casin.3:40 build/C/man3/casinh.3:42 build/C/man3/catan.3:71 build/C/man3/catanh.3:73 build/C/man3/ccos.3:33 build/C/man3/ccosh.3:33 build/C/man3/cerf.3:40 build/C/man3/cexp.3:37 build/C/man3/cexp2.3:30 build/C/man3/cimag.3:39 build/C/man3/clog.3:46 build/C/man3/clog10.3:43 build/C/man3/clog2.3:42 build/C/man7/complex.7:79 build/C/man3/conj.3:37 build/C/man3/cpow.3:36 build/C/man3/cproj.3:38 build/C/man3/creal.3:39 build/C/man3/csin.3:33 build/C/man3/csinh.3:33 build/C/man3/csqrt.3:32 build/C/man3/ctan.3:33 build/C/man3/ctanh.3:34
 140 #, no-wrap
 141 msgid "COLOPHON"
 142 msgstr ""
 143
 144 #. type: Plain text
 145 #: build/C/man3/cabs.3:44 build/C/man3/cacos.3:81 build/C/man3/cacosh.3:83 build/C/man3/carg.3:59 build/C/man3/casin.3:47 build/C/man3/casinh.3:49 build/C/man3/catan.3:78 build/C/man3/catanh.3:80 build/C/man3/ccos.3:40 build/C/man3/ccosh.3:40 build/C/man3/cerf.3:47 build/C/man3/cexp.3:44 build/C/man3/cexp2.3:37 build/C/man3/cimag.3:46 build/C/man3/clog.3:53 build/C/man3/clog10.3:50 build/C/man3/clog2.3:49 build/C/man7/complex.7:86 build/C/man3/conj.3:44 build/C/man3/cpow.3:43 build/C/man3/cproj.3:45 build/C/man3/creal.3:46 build/C/man3/csin.3:40 build/C/man3/csinh.3:40 build/C/man3/csqrt.3:39 build/C/man3/ctan.3:40 build/C/man3/ctanh.3:41
 146 msgid ""
 147 "This page is part of release 3.40 of the Linux I<man-pages> project.  A "
 148 "description of the project, and information about reporting bugs, can be "
 149 "found at http://www.kernel.org/doc/man-pages/."
 150 msgstr ""
 151
 152 #. type: TH
 153 #: build/C/man3/cacos.3:5
 154 #, no-wrap
 155 msgid "CACOS"
 156 msgstr ""
 157
 158 #. type: TH
 159 #: build/C/man3/cacos.3:5 build/C/man3/cacosh.3:5 build/C/man3/catan.3:5 build/C/man3/catanh.3:5
 160 #, no-wrap
 161 msgid "2011-09-15"
 162 msgstr ""
 163
 164 #. type: Plain text
 165 #: build/C/man3/cacos.3:8
 166 msgid "cacos, cacosf, cacosl - complex arc cosine"
 167 msgstr ""
 168
 169 #. type: Plain text
 170 #: build/C/man3/cacos.3:12
 171 msgid "B<double complex cacos(double complex >I<z>B<);>"
 172 msgstr ""
 173
 174 #. type: Plain text
 175 #: build/C/man3/cacos.3:14
 176 msgid "B<float complex cacosf(float complex >I<z>B<);>"
 177 msgstr ""
 178
 179 #. type: Plain text
 180 #: build/C/man3/cacos.3:16
 181 msgid "B<long double complex cacosl(long double complex >I<z>B<);>"
 182 msgstr ""
 183
 184 #. type: Plain text
 185 #: build/C/man3/cacos.3:27
 186 msgid ""
 187 "The B<cacos>()  function calculates the complex arc cosine of I<z>.  If "
 188 "I<y\\ =\\ cacos(z)>, then I<z\\ =\\ ccos(y)>.  The real part of I<y> is "
 189 "chosen in the interval [0,pi]."
 190 msgstr ""
 191
 192 #. type: Plain text
 193 #: build/C/man3/cacos.3:29 build/C/man3/cacosh.3:32 build/C/man3/carg.3:39 build/C/man3/casin.3:28 build/C/man3/casinh.3:28 build/C/man3/catan.3:27 build/C/man3/catanh.3:29 build/C/man3/cexp.3:23 build/C/man3/cimag.3:24 build/C/man3/clog.3:28 build/C/man3/conj.3:25 build/C/man3/creal.3:24
 194 msgid "One has:"
 195 msgstr ""
 196
 197 #. type: Plain text
 198 #: build/C/man3/cacos.3:32
 199 #, no-wrap
 200 msgid "    cacos(z) = -i * clog(z + i * csqrt(1 - z * z))\n"
 201 msgstr ""
 202
 203 #. type: SH
 204 #: build/C/man3/cacos.3:37 build/C/man3/cacosh.3:40 build/C/man3/catan.3:35 build/C/man3/catanh.3:37 build/C/man7/complex.7:33
 205 #, no-wrap
 206 msgid "EXAMPLE"
 207 msgstr ""
 208
 209 #. type: Plain text
 210 #: build/C/man3/cacos.3:40 build/C/man3/cacosh.3:43 build/C/man3/catan.3:38 build/C/man3/catanh.3:40
 211 #, no-wrap
 212 msgid "/* Link with \"-lm\" */\n"
 213 msgstr ""
 214
 215 #. type: Plain text
 216 #: build/C/man3/cacos.3:45 build/C/man3/cacosh.3:48 build/C/man3/catan.3:43 build/C/man3/catanh.3:45
 217 #, no-wrap
 218 msgid ""
 219 "#include E<lt>complex.hE<gt>\n"
 220 "#include E<lt>stdlib.hE<gt>\n"
 221 "#include E<lt>unistd.hE<gt>\n"
 222 "#include E<lt>stdio.hE<gt>\n"
 223 msgstr ""
 224
 225 #. type: Plain text
 226 #: build/C/man3/cacos.3:51 build/C/man3/catan.3:49
 227 #, no-wrap
 228 msgid ""
 229 "int\n"
 230 "main(int argc, char *argv[])\n"
 231 "{\n"
 232 "    double complex z, c, f;\n"
 233 "    double complex i = I;\n"
 234 msgstr ""
 235
 236 #. type: Plain text
 237 #: build/C/man3/cacos.3:56 build/C/man3/cacosh.3:58 build/C/man3/catan.3:54 build/C/man3/catanh.3:55
 238 #, no-wrap
 239 msgid ""
 240 "    if (argc != 3) {\n"
 241 "        fprintf(stderr, \"Usage: %s E<lt>realE<gt> E<lt>imagE<gt>\\en\", "
 242 "argv[0]);\n"
 243 "        exit(EXIT_FAILURE);\n"
 244 "    }\n"
 245 msgstr ""
 246
 247 #. type: Plain text
 248 #: build/C/man3/cacos.3:58 build/C/man3/cacosh.3:60 build/C/man3/catan.3:56 build/C/man3/catanh.3:57
 249 #, no-wrap
 250 msgid "    z = atof(argv[1]) + atof(argv[2]) * I;\n"
 251 msgstr ""
 252
 253 #. type: Plain text
 254 #: build/C/man3/cacos.3:60
 255 #, no-wrap
 256 msgid "    c = cacos(z);\n"
 257 msgstr ""
 258
 259 #. type: Plain text
 260 #: build/C/man3/cacos.3:62
 261 #, no-wrap
 262 msgid "    printf(\"cacos() = %6.3f %6.3f*i\\en\", creal(c), cimag(c));\n"
 263 msgstr ""
 264
 265 #. type: Plain text
 266 #: build/C/man3/cacos.3:64
 267 #, no-wrap
 268 msgid "    f = -i * clog(z + i * csqrt(1 - z * z));\n"
 269 msgstr ""
 270
 271 #. type: Plain text
 272 #: build/C/man3/cacos.3:66
 273 #, no-wrap
 274 msgid "    printf(\"formula = %6.3f %6.3f*i\\en\", creal(f), cimag(f));\n"
 275 msgstr ""
 276
 277 #. type: Plain text
 278 #: build/C/man3/cacos.3:69 build/C/man3/cacosh.3:69 build/C/man3/catan.3:65 build/C/man3/catanh.3:66
 279 #, no-wrap
 280 msgid ""
 281 "    exit(EXIT_SUCCESS);\n"
 282 "}\n"
 283 msgstr ""
 284
 285 #. type: Plain text
 286 #: build/C/man3/cacos.3:74
 287 msgid "B<ccos>(3), B<clog>(3), B<complex>(7)"
 288 msgstr ""
 289
 290 #. type: TH
 291 #: build/C/man3/cacosh.3:5
 292 #, no-wrap
 293 msgid "CACOSH"
 294 msgstr ""
 295
 296 #. type: Plain text
 297 #: build/C/man3/cacosh.3:8
 298 msgid "cacosh, cacoshf, cacoshl - complex arc hyperbolic cosine"
 299 msgstr ""
 300
 301 #. type: Plain text
 302 #: build/C/man3/cacosh.3:12
 303 msgid "B<double complex cacosh(double complex >I<z>B<);>"
 304 msgstr ""
 305
 306 #. type: Plain text
 307 #: build/C/man3/cacosh.3:14
 308 msgid "B<float complex cacoshf(float complex >I<z>B<);>"
 309 msgstr ""
 310
 311 #. type: Plain text
 312 #: build/C/man3/cacosh.3:16
 313 msgid "B<long double complex cacoshl(long double complex >I<z>B<);>"
 314 msgstr ""
 315
 316 #. type: Plain text
 317 #: build/C/man3/cacosh.3:30
 318 msgid ""
 319 "The B<cacosh>()  function calculates the complex arc hyperpolic cosine of "
 320 "I<z>.  If I<y\\ =\\ cacosh(z)>, then I<z\\ =\\ ccosh(y)>.  The imaginary "
 321 "part of I<y> is chosen in the interval [-pi,pi].  The real part of I<y> is "
 322 "chosen nonnegative."
 323 msgstr ""
 324
 325 #. type: Plain text
 326 #: build/C/man3/cacosh.3:35
 327 #, no-wrap
 328 msgid "    cacosh(z) = 2 * clog(csqrt((z + 1) / 2) + csqrt((z - 1) / 2))\n"
 329 msgstr ""
 330
 331 #. type: Plain text
 332 #: build/C/man3/cacosh.3:53 build/C/man3/catanh.3:50
 333 #, no-wrap
 334 msgid ""
 335 "int\n"
 336 "main(int argc, char *argv[])\n"
 337 "{\n"
 338 "    double complex z, c, f;\n"
 339 msgstr ""
 340
 341 #. type: Plain text
 342 #: build/C/man3/cacosh.3:63
 343 #, no-wrap
 344 msgid ""
 345 "    c = cacosh(z);\n"
 346 "    printf(\"cacosh() = %6.3f %6.3f*i\\en\", creal(c), cimag(c));\n"
 347 msgstr ""
 348
 349 #. type: Plain text
 350 #: build/C/man3/cacosh.3:66
 351 #, no-wrap
 352 msgid ""
 353 "    f = 2 * clog(csqrt((z + 1)/2) + csqrt((z - 1)/2));\n"
 354 "    printf(\"formula  = %6.3f %6.3f*i\\en\", creal(f2), cimag(f2));\n"
 355 msgstr ""
 356
 357 #. type: Plain text
 358 #: build/C/man3/cacosh.3:76
 359 msgid "B<acosh>(3), B<cabs>(3), B<ccosh>(3), B<cimag>(3), B<complex>(7)"
 360 msgstr ""
 361
 362 #. type: TH
 363 #: build/C/man3/carg.3:4
 364 #, no-wrap
 365 msgid "CARG"
 366 msgstr ""
 367
 368 #. type: Plain text
 369 #: build/C/man3/carg.3:7
 370 msgid "carg, cargf, cargl - calculate the complex argument"
 371 msgstr ""
 372
 373 #. type: Plain text
 374 #: build/C/man3/carg.3:11
 375 msgid "B<double carg(double complex >I<z>B<);>"
 376 msgstr ""
 377
 378 #. type: Plain text
 379 #: build/C/man3/carg.3:13
 380 msgid "B<float cargf(float complex >I<z>B<);>"
 381 msgstr ""
 382
 383 #. type: Plain text
 384 #: build/C/man3/carg.3:15
 385 msgid "B<long double cargl(long double complex >I<z>B<);>"
 386 msgstr ""
 387
 388 #. type: Plain text
 389 #: build/C/man3/carg.3:20
 390 msgid ""
 391 "A complex number can be described by two real coordinates.  One may use "
 392 "rectangular coordinates and gets"
 393 msgstr ""
 394
 395 #. type: Plain text
 396 #: build/C/man3/carg.3:23
 397 #, no-wrap
 398 msgid "    z = x + I * y\n"
 399 msgstr ""
 400
 401 #. type: Plain text
 402 #: build/C/man3/carg.3:26
 403 msgid "where I<x\\ =\\ creal(z)> and I<y\\ =\\ cimag(z)>."
 404 msgstr ""
 405
 406 #. type: Plain text
 407 #: build/C/man3/carg.3:28
 408 msgid "Or one may use polar coordinates and gets"
 409 msgstr ""
 410
 411 #. type: Plain text
 412 #: build/C/man3/carg.3:31
 413 #, no-wrap
 414 msgid "    z = r * cexp(I * a)\n"
 415 msgstr ""
 416
 417 #. type: Plain text
 418 #: build/C/man3/carg.3:37
 419 msgid ""
 420 "where I<r\\ =\\ cabs(z)> is the \"radius\", the \"modulus\", the absolute "
 421 "value of I<z>, and I<a\\ =\\ carg(z)> is the \"phase angle\", the argument "
 422 "of I<z>."
 423 msgstr ""
 424
 425 #. type: Plain text
 426 #: build/C/man3/carg.3:42
 427 #, no-wrap
 428 msgid "    tan(carg(z)) = cimag(z) / creal(z)\n"
 429 msgstr ""
 430
 431 #. type: SH
 432 #: build/C/man3/carg.3:43
 433 #, no-wrap
 434 msgid "RETURN VALUE"
 435 msgstr ""
 436
 437 #. type: Plain text
 438 #: build/C/man3/carg.3:45
 439 msgid "The return value is the range of [-pi,pi]."
 440 msgstr ""
 441
 442 #. type: Plain text
 443 #: build/C/man3/carg.3:52 build/C/man3/cproj.3:38
 444 msgid "B<cabs>(3), B<complex>(7)"
 445 msgstr ""
 446
 447 #. type: TH
 448 #: build/C/man3/casin.3:4
 449 #, no-wrap
 450 msgid "CASIN"
 451 msgstr ""
 452
 453 #. type: Plain text
 454 #: build/C/man3/casin.3:7
 455 msgid "casin, casinf, casinl - complex arc sine"
 456 msgstr ""
 457
 458 #. type: Plain text
 459 #: build/C/man3/casin.3:11
 460 msgid "B<double complex casin(double complex >I<z>B<);>"
 461 msgstr ""
 462
 463 #. type: Plain text
 464 #: build/C/man3/casin.3:13
 465 msgid "B<float complex casinf(float complex >I<z>B<);>"
 466 msgstr ""
 467
 468 #. type: Plain text
 469 #: build/C/man3/casin.3:15
 470 msgid "B<long double complex casinl(long double complex >I<z>B<);>"
 471 msgstr ""
 472
 473 #. type: Plain text
 474 #: build/C/man3/casin.3:26
 475 msgid ""
 476 "The B<casin>()  function calculates the complex arc sine of I<z>.  If I<y\\ "
 477 "=\\ casin(z)>, then I<z\\ =\\ csin(y)>.  The real part of I<y> is chosen in "
 478 "the interval [-pi/2,pi/2]."
 479 msgstr ""
 480
 481 #. type: Plain text
 482 #: build/C/man3/casin.3:31
 483 #, no-wrap
 484 msgid "    casin(z) = -i clog(iz + csqrt(1 - z * z))\n"
 485 msgstr ""
 486
 487 #. type: Plain text
 488 #: build/C/man3/casin.3:40
 489 msgid "B<clog>(3), B<csin>(3), B<complex>(7)"
 490 msgstr ""
 491
 492 #. type: TH
 493 #: build/C/man3/casinh.3:4
 494 #, no-wrap
 495 msgid "CASINH"
 496 msgstr ""
 497
 498 #. type: Plain text
 499 #: build/C/man3/casinh.3:7
 500 msgid "casinh, casinhf, casinhl - complex arc sine hyperbolic"
 501 msgstr ""
 502
 503 #. type: Plain text
 504 #: build/C/man3/casinh.3:11
 505 msgid "B<double complex casinh(double complex >I<z>B<);>"
 506 msgstr ""
 507
 508 #. type: Plain text
 509 #: build/C/man3/casinh.3:13
 510 msgid "B<float complex casinhf(float complex >I<z>B<);>"
 511 msgstr ""
 512
 513 #. type: Plain text
 514 #: build/C/man3/casinh.3:15
 515 msgid "B<long double complex casinhl(long double complex >I<z>B<);>"
 516 msgstr ""
 517
 518 #. type: Plain text
 519 #: build/C/man3/casinh.3:26
 520 msgid ""
 521 "The B<casinh>()  function calculates the complex arc hyperbolic sine of "
 522 "I<z>.  If I<y\\ =\\ casinh(z)>, then I<z\\ =\\ csinh(y)>.  The imaginary "
 523 "part of I<y> is chosen in the interval [-pi/2,pi/2]."
 524 msgstr ""
 525
 526 #. type: Plain text
 527 #: build/C/man3/casinh.3:31
 528 #, no-wrap
 529 msgid "    casinh(z) = clog(z + csqrt(z * z + 1))\n"
 530 msgstr ""
 531
 532 #. type: Plain text
 533 #: build/C/man3/casinh.3:42
 534 msgid "B<asinh>(3), B<cabs>(3), B<cimag>(3), B<csinh>(3), B<complex>(7)"
 535 msgstr ""
 536
 537 #. type: TH
 538 #: build/C/man3/catan.3:5
 539 #, no-wrap
 540 msgid "CATAN"
 541 msgstr ""
 542
 543 #. type: Plain text
 544 #: build/C/man3/catan.3:8
 545 msgid "catan, catanf, catanl - complex arc tangents"
 546 msgstr ""
 547
 548 #. type: Plain text
 549 #: build/C/man3/catan.3:12
 550 msgid "B<double complex catan(double complex >I<z>B<);>"
 551 msgstr ""
 552
 553 #. type: Plain text
 554 #: build/C/man3/catan.3:14
 555 msgid "B<float complex catanf(float complex >I<z>B<);>"
 556 msgstr ""
 557
 558 #. type: Plain text
 559 #: build/C/man3/catan.3:16
 560 msgid "B<long double complex catanl(long double complex >I<z>B<);>"
 561 msgstr ""
 562
 563 #. type: Plain text
 564 #: build/C/man3/catan.3:25
 565 msgid ""
 566 "The B<catan>()  function calculates the complex arc tangent of I<z>.  If "
 567 "I<y\\ =\\ catan(z)>, then I<z\\ =\\ ctan(y)>.  The real part of y is chosen "
 568 "in the interval [-pi/2,pi/2]."
 569 msgstr ""
 570
 571 #. type: Plain text
 572 #: build/C/man3/catan.3:30
 573 #, no-wrap
 574 msgid "    catan(z) = (clog(1 + i * z) - clog(1 - i * z)) / (2 * i)\n"
 575 msgstr ""
 576
 577 #. type: Plain text
 578 #: build/C/man3/catan.3:59
 579 #, no-wrap
 580 msgid ""
 581 "    c = catan(z);\n"
 582 "    printf(\"catan() = %6.3f %6.3f*i\\en\", creal(c), cimag(c));\n"
 583 msgstr ""
 584
 585 #. type: Plain text
 586 #: build/C/man3/catan.3:62
 587 #, no-wrap
 588 msgid ""
 589 "    f = (clog(1 + i * z) - clog(1 - i * z)) / (2 * i);\n"
 590 "    printf(\"formula = %6.3f %6.3f*i\\en\", creal(f2), cimag(f2));\n"
 591 msgstr ""
 592
 593 #. type: Plain text
 594 #: build/C/man3/catan.3:71
 595 msgid "B<ccos>(3), B<clog>(3), B<ctan>(3), B<complex>(7)"
 596 msgstr ""
 597
 598 #. type: TH
 599 #: build/C/man3/catanh.3:5
 600 #, no-wrap
 601 msgid "CATANH"
 602 msgstr ""
 603
 604 #. type: Plain text
 605 #: build/C/man3/catanh.3:8
 606 msgid "catanh, catanhf, catanhl - complex arc tangents hyperbolic"
 607 msgstr ""
 608
 609 #. type: Plain text
 610 #: build/C/man3/catanh.3:12
 611 msgid "B<double complex catanh(double complex >I<z>B<);>"
 612 msgstr ""
 613
 614 #. type: Plain text
 615 #: build/C/man3/catanh.3:14
 616 msgid "B<float complex catanhf(float complex >I<z>B<);>"
 617 msgstr ""
 618
 619 #. type: Plain text
 620 #: build/C/man3/catanh.3:16
 621 msgid "B<long double complex catanhl(long double complex >I<z>B<);>"
 622 msgstr ""
 623
 624 #. type: Plain text
 625 #: build/C/man3/catanh.3:27
 626 msgid ""
 627 "The B<catanh>()  function calculates the complex arc hyperbolic tangent of "
 628 "I<z>.  If I<y\\ =\\ catanh(z)>, then I<z\\ =\\ ctanh(y)>.  The imaginary "
 629 "part of I<y> is chosen in the interval [-pi/2,pi/2]."
 630 msgstr ""
 631
 632 #. type: Plain text
 633 #: build/C/man3/catanh.3:32
 634 #, no-wrap
 635 msgid "    catanh(z) = 0.5 * (clog(1 + z) - clog(1 - z))\n"
 636 msgstr ""
 637
 638 #. type: Plain text
 639 #: build/C/man3/catanh.3:60
 640 #, no-wrap
 641 msgid ""
 642 "    c = catanh(z);\n"
 643 "    printf(\"catanh() = %6.3f %6.3f*i\\en\", creal(c), cimag(c));\n"
 644 msgstr ""
 645
 646 #. type: Plain text
 647 #: build/C/man3/catanh.3:63
 648 #, no-wrap
 649 msgid ""
 650 "    f = 0.5 * (clog(1 + z) - clog(1 - z));\n"
 651 "    printf(\"formula  = %6.3f %6.3f*i\\en\", creal(f2), cimag(f2));\n"
 652 msgstr ""
 653
 654 #. type: Plain text
 655 #: build/C/man3/catanh.3:73
 656 msgid "B<atanh>(3), B<cabs>(3), B<cimag>(3), B<ctanh>(3), B<complex>(7)"
 657 msgstr ""
 658
 659 #. type: TH
 660 #: build/C/man3/ccos.3:4
 661 #, no-wrap
 662 msgid "CCOS"
 663 msgstr ""
 664
 665 #. type: Plain text
 666 #: build/C/man3/ccos.3:7
 667 msgid "ccos, ccosf, ccosl - complex cosine function"
 668 msgstr ""
 669
 670 #. type: Plain text
 671 #: build/C/man3/ccos.3:11
 672 msgid "B<double complex ccos(double complex >I<z>B<);>"
 673 msgstr ""
 674
 675 #. type: Plain text
 676 #: build/C/man3/ccos.3:13
 677 msgid "B<float complex ccosf(float complex >I<z>B<);>"
 678 msgstr ""
 679
 680 #. type: Plain text
 681 #: build/C/man3/ccos.3:15
 682 msgid "B<long double complex ccosl(long double complex >I<z>B<);>"
 683 msgstr ""
 684
 685 #. type: Plain text
 686 #: build/C/man3/ccos.3:19
 687 msgid "The complex cosine function is defined as:"
 688 msgstr ""
 689
 690 #. type: Plain text
 691 #: build/C/man3/ccos.3:22
 692 #, no-wrap
 693 msgid "    ccos(z) = (exp(i * z) + exp(-i * z)) / 2\n"
 694 msgstr ""
 695
 696 #. type: Plain text
 697 #: build/C/man3/ccos.3:33
 698 msgid "B<cabs>(3), B<cacos>(3), B<csin>(3), B<ctan>(3), B<complex>(7)"
 699 msgstr ""
 700
 701 #. type: TH
 702 #: build/C/man3/ccosh.3:4
 703 #, no-wrap
 704 msgid "CCOSH"
 705 msgstr ""
 706
 707 #. type: Plain text
 708 #: build/C/man3/ccosh.3:7
 709 msgid "ccosh, ccoshf, ccoshl - complex hyperbolic cosine"
 710 msgstr ""
 711
 712 #. type: Plain text
 713 #: build/C/man3/ccosh.3:11
 714 msgid "B<double complex ccosh(double complex >I<z>B<);>"
 715 msgstr ""
 716
 717 #. type: Plain text
 718 #: build/C/man3/ccosh.3:13
 719 msgid "B<float complex ccoshf(float complex >I<z>B<);>"
 720 msgstr ""
 721
 722 #. type: Plain text
 723 #: build/C/man3/ccosh.3:15
 724 msgid "B<long double complex ccoshl(long double complex >I<z>B<);>"
 725 msgstr ""
 726
 727 #. type: Plain text
 728 #: build/C/man3/ccosh.3:19
 729 msgid "The complex hyperbolic cosine function is defined as:"
 730 msgstr ""
 731
 732 #. type: Plain text
 733 #: build/C/man3/ccosh.3:22
 734 #, no-wrap
 735 msgid "    ccosh(z) = (exp(z)+exp(-z))/2\n"
 736 msgstr ""
 737
 738 #. type: Plain text
 739 #: build/C/man3/ccosh.3:33
 740 msgid "B<cabs>(3), B<cacosh>(3), B<csinh>(3), B<ctanh>(3), B<complex>(7)"
 741 msgstr ""
 742
 743 #. type: TH
 744 #: build/C/man3/cerf.3:4
 745 #, no-wrap
 746 msgid "CERF"
 747 msgstr ""
 748
 749 #. type: TH
 750 #: build/C/man3/cerf.3:4
 751 #, no-wrap
 752 msgid "2010-09-12"
 753 msgstr ""
 754
 755 #. type: Plain text
 756 #: build/C/man3/cerf.3:7
 757 msgid "cerf, cerff, cerfl, cerfc, cerfcf, cerfcl - complex error function"
 758 msgstr ""
 759
 760 #. type: Plain text
 761 #: build/C/man3/cerf.3:11
 762 msgid "B<double complex cerf(double complex >I<z>B<);>"
 763 msgstr ""
 764
 765 #. type: Plain text
 766 #: build/C/man3/cerf.3:13
 767 msgid "B<float complex cerff(float complex >I<z>B<);>"
 768 msgstr ""
 769
 770 #. type: Plain text
 771 #: build/C/man3/cerf.3:15
 772 msgid "B<long double complex cerfl(long double complex >I<z>B<);>"
 773 msgstr ""
 774
 775 #. type: Plain text
 776 #: build/C/man3/cerf.3:17
 777 msgid "B<double complex cerfc(double complex >I<z>B<);>"
 778 msgstr ""
 779
 780 #. type: Plain text
 781 #: build/C/man3/cerf.3:19
 782 msgid "B<float complex cerfcf(float complex >I<z>B<);>"
 783 msgstr ""
 784
 785 #. type: Plain text
 786 #: build/C/man3/cerf.3:21
 787 msgid "B<long double complex cerfcl(long double complex >I<z>B<);>"
 788 msgstr ""
 789
 790 #.  must check 1/sqrt(2*pi) ?
 791 #. type: Plain text
 792 #: build/C/man3/cerf.3:32
 793 msgid ""
 794 "The (unimplemented) function B<cerf>()  is the complex version of the error "
 795 "function.  erf(z) = 2/sqrt(pi) * integral from 0 to z of exp(-t*t) dt.  The "
 796 "function B<cerfc>()  is defined as cerfc(z) = 1-cerf(z)."
 797 msgstr ""
 798
 799 #. type: Plain text
 800 #: build/C/man3/cerf.3:34
 801 msgid "The function names are reserved for future use in C99."
 802 msgstr ""
 803
 804 #. type: SH
 805 #: build/C/man3/cerf.3:34 build/C/man3/cexp2.3:22 build/C/man3/clog2.3:33
 806 #, no-wrap
 807 msgid "AVAILABILITY"
 808 msgstr ""
 809
 810 #.  But reserved in NAMESPACE.
 811 #. type: Plain text
 812 #: build/C/man3/cerf.3:37
 813 msgid "Not yet in glibc, as at version 2.12."
 814 msgstr ""
 815
 816 #. type: Plain text
 817 #: build/C/man3/cerf.3:40
 818 msgid "B<erf>(3), B<complex>(7)"
 819 msgstr ""
 820
 821 #. type: TH
 822 #: build/C/man3/cexp.3:4
 823 #, no-wrap
 824 msgid "CEXP"
 825 msgstr ""
 826
 827 #. type: Plain text
 828 #: build/C/man3/cexp.3:7
 829 msgid "cexp, cexpf, cexpl - complex exponential function"
 830 msgstr ""
 831
 832 #. type: Plain text
 833 #: build/C/man3/cexp.3:11
 834 msgid "B<double complex cexp(double complex >I<z>B<);>"
 835 msgstr ""
 836
 837 #. type: Plain text
 838 #: build/C/man3/cexp.3:13
 839 msgid "B<float complex cexpf(float complex >I<z>B<);>"
 840 msgstr ""
 841
 842 #. type: Plain text
 843 #: build/C/man3/cexp.3:15
 844 msgid "B<long double complex cexpl(long double complex >I<z>B<);>"
 845 msgstr ""
 846
 847 #. type: Plain text
 848 #: build/C/man3/cexp.3:21
 849 msgid ""
 850 "The function calculates e (2.71828..., the base of natural logarithms)  "
 851 "raised to the power of I<z>."
 852 msgstr ""
 853
 854 #. type: Plain text
 855 #: build/C/man3/cexp.3:26
 856 #, no-wrap
 857 msgid "    cexp(I * z) = ccos(z) + I * csin(z)\n"
 858 msgstr ""
 859
 860 #. type: Plain text
 861 #: build/C/man3/cexp.3:37
 862 msgid "B<cabs>(3), B<cexp2>(3), B<clog>(3), B<cpow>(3), B<complex>(7)"
 863 msgstr ""
 864
 865 #. type: TH
 866 #: build/C/man3/cexp2.3:4
 867 #, no-wrap
 868 msgid "CEXP2"
 869 msgstr ""
 870
 871 #. type: TH
 872 #: build/C/man3/cexp2.3:4 build/C/man3/clog2.3:4
 873 #, no-wrap
 874 msgid "2008-08-07"
 875 msgstr ""
 876
 877 #. type: Plain text
 878 #: build/C/man3/cexp2.3:7
 879 msgid "cexp2, cexp2f, cexp2l - base-2 exponent of a complex number"
 880 msgstr ""
 881
 882 #. type: Plain text
 883 #: build/C/man3/cexp2.3:11
 884 msgid "B<double complex cexp2(double complex >I<z>B<);>"
 885 msgstr ""
 886
 887 #. type: Plain text
 888 #: build/C/man3/cexp2.3:13
 889 msgid "B<float complex cexp2f(float complex >I<z>B<);>"
 890 msgstr ""
 891
 892 #. type: Plain text
 893 #: build/C/man3/cexp2.3:15
 894 msgid "B<long double complex cexp2l(long double complex >I<z>B<);>"
 895 msgstr ""
 896
 897 #. type: Plain text
 898 #: build/C/man3/cexp2.3:20
 899 msgid "The function returns 2 raised to the power of I<z>."
 900 msgstr ""
 901
 902 #. type: Plain text
 903 #: build/C/man3/cexp2.3:22 build/C/man3/clog2.3:33
 904 msgid "These function names are reserved for future use in C99."
 905 msgstr ""
 906
 907 #.  But reserved in NAMESPACE.
 908 #. type: Plain text
 909 #: build/C/man3/cexp2.3:25 build/C/man3/clog2.3:36
 910 msgid "Not yet in glibc, as at version 2.8."
 911 msgstr ""
 912
 913 #. type: Plain text
 914 #: build/C/man3/cexp2.3:30
 915 msgid "B<cabs>(3), B<cexp>(3), B<clog10>(3), B<complex>(7)"
 916 msgstr ""
 917
 918 #. type: TH
 919 #: build/C/man3/cimag.3:4
 920 #, no-wrap
 921 msgid "CIMAG"
 922 msgstr ""
 923
 924 #. type: Plain text
 925 #: build/C/man3/cimag.3:7
 926 msgid "cimag, cimagf, cimagl - get imaginary part of a complex number"
 927 msgstr ""
 928
 929 #. type: Plain text
 930 #: build/C/man3/cimag.3:11
 931 msgid "B<double cimag(double complex >I<z>B<);>"
 932 msgstr ""
 933
 934 #. type: Plain text
 935 #: build/C/man3/cimag.3:13
 936 msgid "B<float cimagf(float complex >I<z>B<);>"
 937 msgstr ""
 938
 939 #. type: Plain text
 940 #: build/C/man3/cimag.3:15
 941 msgid "B<long double cimagl(long double complex >I<z>B<);>"
 942 msgstr ""
 943
 944 #. type: Plain text
 945 #: build/C/man3/cimag.3:22
 946 msgid ""
 947 "The B<cimag>()  function returns the imaginary part of the complex number "
 948 "I<z>."
 949 msgstr ""
 950
 951 #. type: Plain text
 952 #: build/C/man3/cimag.3:27 build/C/man3/creal.3:27
 953 #, no-wrap
 954 msgid "    z = creal(z) + I * cimag(z)\n"
 955 msgstr ""
 956
 957 #. type: Plain text
 958 #: build/C/man3/cimag.3:35
 959 msgid "gcc also supports __imag__.  That is a GNU extension."
 960 msgstr ""
 961
 962 #. type: Plain text
 963 #: build/C/man3/cimag.3:39
 964 msgid "B<cabs>(3), B<creal>(3), B<complex>(7)"
 965 msgstr ""
 966
 967 #. type: TH
 968 #: build/C/man3/clog.3:4
 969 #, no-wrap
 970 msgid "CLOG"
 971 msgstr ""
 972
 973 #. type: Plain text
 974 #: build/C/man3/clog.3:7
 975 msgid "clog, clogf, clogl - natural logarithm of a complex number"
 976 msgstr ""
 977
 978 #. type: Plain text
 979 #: build/C/man3/clog.3:11
 980 msgid "B<double complex clog(double complex >I<z>B<);>"
 981 msgstr ""
 982
 983 #. type: Plain text
 984 #: build/C/man3/clog.3:13
 985 msgid "B<float complex clogf(float complex >I<z>B<);>"
 986 msgstr ""
 987
 988 #. type: Plain text
 989 #: build/C/man3/clog.3:15
 990 msgid "B<long double complex clogl(long double complex >I<z>B<);>"
 991 msgstr ""
 992
 993 #. type: Plain text
 994 #: build/C/man3/clog.3:26
 995 msgid ""
 996 "The logarithm B<clog>()  is the inverse function of the exponential "
 997 "B<cexp>(3).  Thus, if I<y\\ =\\ clog(z)>, then I<z\\ =\\ cexp(y)>.  The "
 998 "imaginary part of I<y> is chosen in the interval [-pi,pi]."
 999 msgstr ""
1000
1001 #. type: Plain text
1002 #: build/C/man3/clog.3:31
1003 #, no-wrap
1004 msgid "    clog(z) = log(cabs(z)) + I * carg(z)\n"
1005 msgstr ""
1006
1007 #. type: Plain text
1008 #: build/C/man3/clog.3:36 build/C/man3/clog10.3:32 build/C/man3/clog2.3:31
1009 msgid "Note that I<z> close to zero will cause an overflow."
1010 msgstr ""
1011
1012 #. type: Plain text
1013 #: build/C/man3/clog.3:46
1014 msgid "B<cabs>(3), B<cexp>(3), B<clog10>(3), B<clog2>(3), B<complex>(7)"
1015 msgstr ""
1016
1017 #. type: TH
1018 #: build/C/man3/clog10.3:4
1019 #, no-wrap
1020 msgid "CLOG10"
1021 msgstr ""
1022
1023 #. type: Plain text
1024 #: build/C/man3/clog10.3:7
1025 msgid "clog10, clog10f, clog10l - base-10 logarithm of a complex number"
1026 msgstr ""
1027
1028 #. type: Plain text
1029 #: build/C/man3/clog10.3:9
1030 msgid "B<#define _GNU_SOURCE> /* See feature_test_macros(7) */"
1031 msgstr ""
1032
1033 #. type: Plain text
1034 #: build/C/man3/clog10.3:13
1035 msgid "B<double complex clog10(double complex >I<z>B<);>"
1036 msgstr ""
1037
1038 #. type: Plain text
1039 #: build/C/man3/clog10.3:15
1040 msgid "B<float complex clog10f(float complex >I<z>B<);>"
1041 msgstr ""
1042
1043 #. type: Plain text
1044 #: build/C/man3/clog10.3:17
1045 msgid "B<long double complex clog10l(long double complex >I<z>B<);>"
1046 msgstr ""
1047
1048 #. type: Plain text
1049 #: build/C/man3/clog10.3:28
1050 msgid ""
1051 "The call I<clog10(z)> is equivalent to I<clog(z)/log(10)>.  The other "
1052 "functions perform the same task for I<float> and I<long double>."
1053 msgstr ""
1054
1055 #. type: Plain text
1056 #: build/C/man3/clog10.3:37
1057 msgid "This function is a GNU extension.  It is reserved for future use in C99."
1058 msgstr ""
1059
1060 #. type: Plain text
1061 #: build/C/man3/clog10.3:43
1062 msgid "B<cabs>(3), B<cexp>(3), B<clog>(3), B<clog2>(3), B<complex>(7)"
1063 msgstr ""
1064
1065 #. type: TH
1066 #: build/C/man3/clog2.3:4
1067 #, no-wrap
1068 msgid "CLOG2"
1069 msgstr ""
1070
1071 #. type: Plain text
1072 #: build/C/man3/clog2.3:7
1073 msgid "clog2, clog2f, clog2l - base-2 logarithm of a complex number"
1074 msgstr ""
1075
1076 #. type: Plain text
1077 #: build/C/man3/clog2.3:11
1078 msgid "B<double complex clog2(double complex >I<z>B<);>"
1079 msgstr ""
1080
1081 #. type: Plain text
1082 #: build/C/man3/clog2.3:13
1083 msgid "B<float complex clog2f(float complex >I<z>B<);>"
1084 msgstr ""
1085
1086 #.  .sp
1087 #.  Link with \fI\-lm\fP.
1088 #. type: Plain text
1089 #: build/C/man3/clog2.3:17
1090 msgid "B<long double complex clog2l(long double complex >I<z>B<);>"
1091 msgstr ""
1092
1093 #. type: Plain text
1094 #: build/C/man3/clog2.3:22
1095 msgid "The call I<clog2(z)> is equivalent to I<clog(z)/log(2)>."
1096 msgstr ""
1097
1098 #. type: Plain text
1099 #: build/C/man3/clog2.3:27
1100 msgid "The other functions perform the same task for I<float> and I<long double>."
1101 msgstr ""
1102
1103 #. type: Plain text
1104 #: build/C/man3/clog2.3:42
1105 msgid "B<cabs>(3), B<cexp>(3), B<clog>(3), B<clog10>(3), B<complex>(7)"
1106 msgstr ""
1107
1108 #. type: TH
1109 #: build/C/man7/complex.7:4
1110 #, no-wrap
1111 msgid "COMPLEX"
1112 msgstr ""
1113
1114 #. type: TH
1115 #: build/C/man7/complex.7:4
1116 #, no-wrap
1117 msgid "2011-09-16"
1118 msgstr ""
1119
1120 #. type: Plain text
1121 #: build/C/man7/complex.7:7
1122 msgid "complex - basics of complex mathematics"
1123 msgstr ""
1124
1125 #. type: Plain text
1126 #: build/C/man7/complex.7:12
1127 msgid ""
1128 "Complex numbers are numbers of the form z = a+b*i, where a and b are real "
1129 "numbers and i = sqrt(-1), so that i*i = -1."
1130 msgstr ""
1131
1132 #. type: Plain text
1133 #: build/C/man7/complex.7:22
1134 msgid ""
1135 "There are other ways to represent that number.  The pair (a,b) of real "
1136 "numbers may be viewed as a point in the plane, given by X- and "
1137 "Y-coordinates.  This same point may also be described by giving the pair of "
1138 "real numbers (r,phi), where r is the distance to the origin O, and phi the "
1139 "angle between the X-axis and the line Oz.  Now z = r*exp(i*phi) = "
1140 "r*(cos(phi)+i*sin(phi))."
1141 msgstr ""
1142
1143 #. type: Plain text
1144 #: build/C/man7/complex.7:24
1145 msgid "The basic operations are defined on z = a+b*i and w = c+d*i as:"
1146 msgstr ""
1147
1148 #. type: TP
1149 #: build/C/man7/complex.7:24
1150 #, no-wrap
1151 msgid "B<addition: z+w = (a+c) + (b+d)*i>"
1152 msgstr ""
1153
1154 #. type: TP
1155 #: build/C/man7/complex.7:26
1156 #, no-wrap
1157 msgid "B<multiplication: z*w = (a*c - b*d) + (a*d + b*c)*i>"
1158 msgstr ""
1159
1160 #. type: TP
1161 #: build/C/man7/complex.7:28
1162 #, no-wrap
1163 msgid "B<division: z/w = ((a*c + b*d)/(c*c + d*d)) + ((b*c - a*d)/(c*c + d*d))*i>"
1164 msgstr ""
1165
1166 #. type: Plain text
1167 #: build/C/man7/complex.7:33
1168 msgid ""
1169 "Nearly all math function have a complex counterpart but there are some "
1170 "complex-only functions."
1171 msgstr ""
1172
1173 #. type: Plain text
1174 #: build/C/man7/complex.7:37
1175 msgid ""
1176 "Your C-compiler can work with complex numbers if it supports the C99 "
1177 "standard.  Link with I<-lm>.  The imaginary unit is represented by I."
1178 msgstr ""
1179
1180 #. type: Plain text
1181 #: build/C/man7/complex.7:43
1182 #, no-wrap
1183 msgid ""
1184 "/* check that exp(i * pi) == -1 */\n"
1185 "#include E<lt>math.hE<gt>        /* for atan */\n"
1186 "#include E<lt>stdio.hE<gt>\n"
1187 "#include E<lt>complex.hE<gt>\n"
1188 msgstr ""
1189
1190 #. type: Plain text
1191 #: build/C/man7/complex.7:51
1192 #, no-wrap
1193 msgid ""
1194 "int\n"
1195 "main(void)\n"
1196 "{\n"
1197 "    double pi = 4 * atan(1.0);\n"
1198 "    double complex z = cexp(I * pi);\n"
1199 "    printf(\"%f + %f * i\\en\", creal(z), cimag(z));\n"
1200 "}\n"
1201 msgstr ""
1202
1203 #. type: Plain text
1204 #: build/C/man7/complex.7:79
1205 msgid ""
1206 "B<cabs>(3), B<cacos>(3), B<cacosh>(3), B<carg>(3), B<casin>(3), "
1207 "B<casinh>(3), B<catan>(3), B<catanh>(3), B<ccos>(3), B<ccosh>(3), "
1208 "B<cerf>(3), B<cexp>(3), B<cexp2>(3), B<cimag>(3), B<clog>(3), B<clog10>(3), "
1209 "B<clog2>(3), B<conj>(3), B<cpow>(3), B<cproj>(3), B<creal>(3), B<csin>(3), "
1210 "B<csinh>(3), B<csqrt>(3), B<ctan>(3), B<ctanh>(3)"
1211 msgstr ""
1212
1213 #. type: TH
1214 #: build/C/man3/conj.3:4
1215 #, no-wrap
1216 msgid "CONJ"
1217 msgstr ""
1218
1219 #. type: Plain text
1220 #: build/C/man3/conj.3:7
1221 msgid "conj, conjf, conjl - calculate the complex conjugate"
1222 msgstr ""
1223
1224 #. type: Plain text
1225 #: build/C/man3/conj.3:11
1226 msgid "B<double complex conj(double complex >I<z>B<);>"
1227 msgstr ""
1228
1229 #. type: Plain text
1230 #: build/C/man3/conj.3:13
1231 msgid "B<float complex conjf(float complex >I<z>B<);>"
1232 msgstr ""
1233
1234 #. type: Plain text
1235 #: build/C/man3/conj.3:15
1236 msgid "B<long double complex conjl(long double complex >I<z>B<);>"
1237 msgstr ""
1238
1239 #. type: Plain text
1240 #: build/C/man3/conj.3:23
1241 msgid ""
1242 "The B<conj>()  function returns the complex conjugate value of I<z>.  That "
1243 "is the value obtained by changing the sign of the imaginary part."
1244 msgstr ""
1245
1246 #. type: Plain text
1247 #: build/C/man3/conj.3:28
1248 #, no-wrap
1249 msgid "    cabs(z) = csqrt(z * conj(z))\n"
1250 msgstr ""
1251
1252 #. type: Plain text
1253 #: build/C/man3/conj.3:37
1254 msgid "B<cabs>(3), B<csqrt>(3), B<complex>(7)"
1255 msgstr ""
1256
1257 #. type: TH
1258 #: build/C/man3/cpow.3:4
1259 #, no-wrap
1260 msgid "CPOW"
1261 msgstr ""
1262
1263 #. type: Plain text
1264 #: build/C/man3/cpow.3:7
1265 msgid "cpow, cpowf, cpowl - complex power function"
1266 msgstr ""
1267
1268 #. type: Plain text
1269 #: build/C/man3/cpow.3:10
1270 #, no-wrap
1271 msgid "B<#include E<lt>complex.hE<gt>>\n"
1272 msgstr ""
1273
1274 #. type: Plain text
1275 #: build/C/man3/cpow.3:12
1276 #, no-wrap
1277 msgid "B<double complex cpow(double complex >I<x>B<, complex double >I<z>B<);>\n"
1278 msgstr ""
1279
1280 #. type: Plain text
1281 #: build/C/man3/cpow.3:14
1282 #, no-wrap
1283 msgid "B<float complex cpowf(float complex >I<x>B<, complex float >I<z>B<);>\n"
1284 msgstr ""
1285
1286 #. type: Plain text
1287 #: build/C/man3/cpow.3:17
1288 #, no-wrap
1289 msgid ""
1290 "B<long double complex cpowl(long double complex >I<x>B<,>\n"
1291 "B<                          complex long double >I<z>B<);>\n"
1292 msgstr ""
1293
1294 #. type: Plain text
1295 #: build/C/man3/cpow.3:19
1296 #, no-wrap
1297 msgid "Link with I<-lm>.\n"
1298 msgstr ""
1299
1300 #. type: Plain text
1301 #: build/C/man3/cpow.3:28
1302 msgid ""
1303 "The function calculates I<x> raised to the power I<z>.  (With a branch cut "
1304 "for I<x> along the negative real axis.)"
1305 msgstr ""
1306
1307 #. type: Plain text
1308 #: build/C/man3/cpow.3:36
1309 msgid "B<cabs>(3), B<pow>(3), B<complex>(7)"
1310 msgstr ""
1311
1312 #. type: TH
1313 #: build/C/man3/cproj.3:4
1314 #, no-wrap
1315 msgid "CPROJ"
1316 msgstr ""
1317
1318 #. type: TH
1319 #: build/C/man3/cproj.3:4
1320 #, no-wrap
1321 msgid "2010-06-10"
1322 msgstr ""
1323
1324 #. type: Plain text
1325 #: build/C/man3/cproj.3:7
1326 msgid "cproj, cprojf, cprojl - project into Riemann Sphere"
1327 msgstr ""
1328
1329 #. type: Plain text
1330 #: build/C/man3/cproj.3:11
1331 msgid "B<double complex cproj(double complex >I<z>B<);>"
1332 msgstr ""
1333
1334 #. type: Plain text
1335 #: build/C/man3/cproj.3:13
1336 msgid "B<float complex cprojf(float complex >I<z>B<);>"
1337 msgstr ""
1338
1339 #. type: Plain text
1340 #: build/C/man3/cproj.3:15
1341 msgid "B<long double complex cprojl(long double complex >I<z>B<);>"
1342 msgstr ""
1343
1344 #. type: Plain text
1345 #: build/C/man3/cproj.3:27
1346 msgid ""
1347 "This function projects a point in the plane onto the surface of a Riemann "
1348 "Sphere, the one-point compactification of the complex plane.  Each finite "
1349 "point I<z> projects to I<z> itself.  Every complex infinite value is "
1350 "projected to a single infinite value, namely to positive infinity on the "
1351 "real axis."
1352 msgstr ""
1353
1354 #.  http://sources.redhat.com/bugzilla/show_bug.cgi?id=10401
1355 #. type: Plain text
1356 #: build/C/man3/cproj.3:35
1357 msgid ""
1358 "In glibc 2.11 and earlier, the implementation does something different (a "
1359 "I<stereographic> projection onto a Riemann Sphere)."
1360 msgstr ""
1361
1362 #. type: TH
1363 #: build/C/man3/creal.3:4
1364 #, no-wrap
1365 msgid "CREAL"
1366 msgstr ""
1367
1368 #. type: Plain text
1369 #: build/C/man3/creal.3:7
1370 msgid "creal, crealf, creall - get real part of a complex number"
1371 msgstr ""
1372
1373 #. type: Plain text
1374 #: build/C/man3/creal.3:11
1375 msgid "B<double creal(double complex >I<z>B<);>"
1376 msgstr ""
1377
1378 #. type: Plain text
1379 #: build/C/man3/creal.3:13
1380 msgid "B<float crealf(float complex >I<z>B<);>"
1381 msgstr ""
1382
1383 #. type: Plain text
1384 #: build/C/man3/creal.3:15
1385 msgid "B<long double creall(long double complex >I<z>B<);>"
1386 msgstr ""
1387
1388 #. type: Plain text
1389 #: build/C/man3/creal.3:22
1390 msgid "The B<creal>()  function returns the real part of the complex number I<z>."
1391 msgstr ""
1392
1393 #. type: Plain text
1394 #: build/C/man3/creal.3:35
1395 msgid "The gcc supports also __real__.  That is a GNU extension."
1396 msgstr ""
1397
1398 #. type: Plain text
1399 #: build/C/man3/creal.3:39
1400 msgid "B<cabs>(3), B<cimag>(3), B<complex>(7)"
1401 msgstr ""
1402
1403 #. type: TH
1404 #: build/C/man3/csin.3:4
1405 #, no-wrap
1406 msgid "CSIN"
1407 msgstr ""
1408
1409 #. type: Plain text
1410 #: build/C/man3/csin.3:7
1411 msgid "csin, csinf, csinl - complex sine function"
1412 msgstr ""
1413
1414 #. type: Plain text
1415 #: build/C/man3/csin.3:11
1416 msgid "B<double complex csin(double complex >I<z>B<);>"
1417 msgstr ""
1418
1419 #. type: Plain text
1420 #: build/C/man3/csin.3:13
1421 msgid "B<float complex csinf(float complex >I<z>B<);>"
1422 msgstr ""
1423
1424 #. type: Plain text
1425 #: build/C/man3/csin.3:15
1426 msgid "B<long double complex csinl(long double complex >I<z>B<);>"
1427 msgstr ""
1428
1429 #. type: Plain text
1430 #: build/C/man3/csin.3:19
1431 msgid "The complex sine function is defined as:"
1432 msgstr ""
1433
1434 #. type: Plain text
1435 #: build/C/man3/csin.3:22
1436 #, no-wrap
1437 msgid "    csin(z) = (exp(i * z) - exp(-i * z)) / (2 * i)\n"
1438 msgstr ""
1439
1440 #. type: Plain text
1441 #: build/C/man3/csin.3:33
1442 msgid "B<cabs>(3), B<casin>(3), B<ccos>(3), B<ctan>(3), B<complex>(7)"
1443 msgstr ""
1444
1445 #. type: TH
1446 #: build/C/man3/csinh.3:4
1447 #, no-wrap
1448 msgid "CSINH"
1449 msgstr ""
1450
1451 #. type: Plain text
1452 #: build/C/man3/csinh.3:7
1453 msgid "csinh, csinhf, csinhl - complex hyperbolic sine"
1454 msgstr ""
1455
1456 #. type: Plain text
1457 #: build/C/man3/csinh.3:11
1458 msgid "B<double complex csinh(double complex >I<z>B<);>"
1459 msgstr ""
1460
1461 #. type: Plain text
1462 #: build/C/man3/csinh.3:13
1463 msgid "B<float complex csinhf(float complex >I<z>B<);>"
1464 msgstr ""
1465
1466 #. type: Plain text
1467 #: build/C/man3/csinh.3:15
1468 msgid "B<long double complex csinhl(long double complex >I<z>B<);>"
1469 msgstr ""
1470
1471 #. type: Plain text
1472 #: build/C/man3/csinh.3:19
1473 msgid "The complex hyperbolic sine function is defined as:"
1474 msgstr ""
1475
1476 #. type: Plain text
1477 #: build/C/man3/csinh.3:22
1478 #, no-wrap
1479 msgid "    csinh(z) = (exp(z)-exp(-z))/2\n"
1480 msgstr ""
1481
1482 #. type: Plain text
1483 #: build/C/man3/csinh.3:33
1484 msgid "B<cabs>(3), B<casinh>(3), B<ccosh>(3), B<ctanh>(3), B<complex>(7)"
1485 msgstr ""
1486
1487 #. type: TH
1488 #: build/C/man3/csqrt.3:4
1489 #, no-wrap
1490 msgid "CSQRT"
1491 msgstr ""
1492
1493 #. type: Plain text
1494 #: build/C/man3/csqrt.3:7
1495 msgid "csqrt, csqrtf, csqrtl - complex square root"
1496 msgstr ""
1497
1498 #. type: Plain text
1499 #: build/C/man3/csqrt.3:11
1500 msgid "B<double complex csqrt(double complex >I<z>B<);>"
1501 msgstr ""
1502
1503 #. type: Plain text
1504 #: build/C/man3/csqrt.3:13
1505 msgid "B<float complex csqrtf(float complex >I<z>B<);>"
1506 msgstr ""
1507
1508 #. type: Plain text
1509 #: build/C/man3/csqrt.3:15
1510 msgid "B<long double complex csqrtl(long double complex >I<z>B<);>"
1511 msgstr ""
1512
1513 #. type: Plain text
1514 #: build/C/man3/csqrt.3:24
1515 msgid ""
1516 "Calculate the square root of a given complex number, with nonnegative real "
1517 "part, and with a branch cut along the negative real axis.  (That means that "
1518 "I<csqrt(-1+eps*I)> will be close to I while I<csqrt(-1-eps*I)> will be close "
1519 "to -I, I<if eps> is a small positive real number.)"
1520 msgstr ""
1521
1522 #. type: Plain text
1523 #: build/C/man3/csqrt.3:32
1524 msgid "B<cabs>(3), B<cexp>(3), B<complex>(7)"
1525 msgstr ""
1526
1527 #. type: TH
1528 #: build/C/man3/ctan.3:4
1529 #, no-wrap
1530 msgid "CTAN"
1531 msgstr ""
1532
1533 #. type: Plain text
1534 #: build/C/man3/ctan.3:7
1535 msgid "ctan, ctanf, ctanl - complex tangent function"
1536 msgstr ""
1537
1538 #. type: Plain text
1539 #: build/C/man3/ctan.3:11
1540 msgid "B<double complex ctan(double complex >I<z>B<);>"
1541 msgstr ""
1542
1543 #. type: Plain text
1544 #: build/C/man3/ctan.3:13
1545 msgid "B<float complex ctanf(float complex >I<z>B<);>"
1546 msgstr ""
1547
1548 #. type: Plain text
1549 #: build/C/man3/ctan.3:15
1550 msgid "B<long double complex ctanl(long double complex >I<z>B<);>"
1551 msgstr ""
1552
1553 #. type: Plain text
1554 #: build/C/man3/ctan.3:19
1555 msgid "The complex tangent function is defined as:"
1556 msgstr ""
1557
1558 #. type: Plain text
1559 #: build/C/man3/ctan.3:22
1560 #, no-wrap
1561 msgid "    ctan(z) = csin(z) / ccos(z)\n"
1562 msgstr ""
1563
1564 #. type: Plain text
1565 #: build/C/man3/ctan.3:33
1566 msgid "B<cabs>(3), B<catan>(3), B<ccos>(3), B<csin>(3), B<complex>(7)"
1567 msgstr ""
1568
1569 #. type: TH
1570 #: build/C/man3/ctanh.3:4
1571 #, no-wrap
1572 msgid "CTANH"
1573 msgstr ""
1574
1575 #. type: Plain text
1576 #: build/C/man3/ctanh.3:7
1577 msgid "ctanh, ctanhf, ctanhl - complex hyperbolic tangent"
1578 msgstr ""
1579
1580 #. type: Plain text
1581 #: build/C/man3/ctanh.3:11
1582 msgid "B<double complex ctanh(double complex >I<z>B<);>"
1583 msgstr ""
1584
1585 #. type: Plain text
1586 #: build/C/man3/ctanh.3:13
1587 msgid "B<float complex ctanhf(float complex >I<z>B<);>"
1588 msgstr ""
1589
1590 #. type: Plain text
1591 #: build/C/man3/ctanh.3:15
1592 msgid "B<long double complex ctanhl(long double complex >I<z>B<);>"
1593 msgstr ""
1594
1595 #. type: Plain text
1596 #: build/C/man3/ctanh.3:20
1597 msgid "The complex hyperbolic tangent function is defined mathematically as:"
1598 msgstr ""
1599
1600 #. type: Plain text
1601 #: build/C/man3/ctanh.3:23
1602 #, no-wrap
1603 msgid "    ctanh(z) = csinh(z) / ccosh(z)\n"
1604 msgstr ""
1605
1606 #. type: Plain text
1607 #: build/C/man3/ctanh.3:34
1608 msgid "B<cabs>(3), B<catanh>(3), B<ccosh>(3), B<csinh>(3), B<complex>(7)"
1609 msgstr ""