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# SOME DESCRIPTIVE TITLE
# Copyright (C) YEAR Free Software Foundation, Inc.
# This file is distributed under the same license as the PACKAGE package.
# FIRST AUTHOR <EMAIL@ADDRESS>, YEAR.
#
#, fuzzy
msgid ""
msgstr ""
"Project-Id-Version: PACKAGE VERSION\n"
"POT-Creation-Date: 2024-03-01 17:12+0100\n"
"PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n"
"Last-Translator: FULL NAME <EMAIL@ADDRESS>\n"
"Language-Team: LANGUAGE <LL@li.org>\n"
"Language: \n"
"MIME-Version: 1.0\n"
"Content-Type: text/plain; charset=UTF-8\n"
"Content-Transfer-Encoding: 8bit\n"
#. type: TH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "tgamma"
msgstr ""
#. type: TH
#: archlinux fedora-40 fedora-rawhide mageia-cauldron
#, no-wrap
msgid "2023-10-31"
msgstr ""
#. type: TH
#: archlinux fedora-40 fedora-rawhide mageia-cauldron
#, no-wrap
msgid "Linux man-pages 6.06"
msgstr ""
#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "NAME"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "tgamma, tgammaf, tgammal - true gamma function"
msgstr ""
#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "LIBRARY"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "Math library (I<libm>, I<-lm>)"
msgstr ""
#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "SYNOPSIS"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "B<#include E<lt>math.hE<gt>>\n"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid ""
"B<double tgamma(double >I<x>B<);>\n"
"B<float tgammaf(float >I<x>B<);>\n"
"B<long double tgammal(long double >I<x>B<);>\n"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"Feature Test Macro Requirements for glibc (see B<feature_test_macros>(7)):"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "B<tgamma>(), B<tgammaf>(), B<tgammal>():"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid " _ISOC99_SOURCE || _POSIX_C_SOURCE E<gt>= 200112L\n"
msgstr ""
#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "DESCRIPTION"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "These functions calculate the Gamma function of I<x>."
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "The Gamma function is defined by"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "Gamma(x) = integral from 0 to infinity of t\\[ha](x-1) e\\[ha]-t dt"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"It is defined for every real number except for nonpositive integers. For "
"nonnegative integral I<m> one has"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "Gamma(m+1) = m!"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "and, more generally, for all I<x>:"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "Gamma(x+1) = x * Gamma(x)"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"Furthermore, the following is valid for all values of I<x> outside the poles:"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "Gamma(x) * Gamma(1 - x) = PI / sin(PI * x)"
msgstr ""
#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "RETURN VALUE"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "On success, these functions return Gamma(x)."
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "If I<x> is a NaN, a NaN is returned."
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "If I<x> is positive infinity, positive infinity is returned."
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"If I<x> is a negative integer, or is negative infinity, a domain error "
"occurs, and a NaN is returned."
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"If the result overflows, a range error occurs, and the functions return "
"B<HUGE_VAL>, B<HUGE_VALF>, or B<HUGE_VALL>, respectively, with the correct "
"mathematical sign."
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"If the result underflows, a range error occurs, and the functions return 0, "
"with the correct mathematical sign."
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"If I<x> is -0 or +0, a pole error occurs, and the functions return "
"B<HUGE_VAL>, B<HUGE_VALF>, or B<HUGE_VALL>, respectively, with the same sign "
"as the 0."
msgstr ""
#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "ERRORS"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"See B<math_error>(7) for information on how to determine whether an error "
"has occurred when calling these functions."
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "The following errors can occur:"
msgstr ""
#. type: TP
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "Domain error: I<x> is a negative integer, or negative infinity"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"I<errno> is set to B<EDOM>. An invalid floating-point exception "
"(B<FE_INVALID>) is raised (but see BUGS)."
msgstr ""
#. type: TP
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "Pole error: I<x> is +0 or -0"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"I<errno> is set to B<ERANGE>. A divide-by-zero floating-point exception "
"(B<FE_DIVBYZERO>) is raised."
msgstr ""
#. type: TP
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "Range error: result overflow"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"I<errno> is set to B<ERANGE>. An overflow floating-point exception "
"(B<FE_OVERFLOW>) is raised."
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"glibc also gives the following error which is not specified in C99 or "
"POSIX.1-2001."
msgstr ""
#. type: TP
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "Range error: result underflow"
msgstr ""
#. e.g., tgamma(-172.5) on glibc 2.8/x86-32
#. .I errno
#. is set to
#. .BR ERANGE .
#. glibc (as at 2.8) also supports an inexact
#. exception for various cases.
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"An underflow floating-point exception (B<FE_UNDERFLOW>) is raised, and "
"I<errno> is set to B<ERANGE>."
msgstr ""
#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "ATTRIBUTES"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"For an explanation of the terms used in this section, see B<attributes>(7)."
msgstr ""
#. type: tbl table
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "Interface"
msgstr ""
#. type: tbl table
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "Attribute"
msgstr ""
#. type: tbl table
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "Value"
msgstr ""
#. type: tbl table
#: archlinux debian-unstable fedora-40 fedora-rawhide mageia-cauldron
#: opensuse-tumbleweed
#, no-wrap
msgid ".na\n"
msgstr ""
#. type: tbl table
#: archlinux debian-unstable fedora-40 fedora-rawhide mageia-cauldron
#: opensuse-tumbleweed
#, no-wrap
msgid ".nh\n"
msgstr ""
#. type: tbl table
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid ""
"B<tgamma>(),\n"
"B<tgammaf>(),\n"
"B<tgammal>()"
msgstr ""
#. type: tbl table
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "Thread safety"
msgstr ""
#. type: tbl table
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "MT-Safe"
msgstr ""
#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "STANDARDS"
msgstr ""
#. type: Plain text
#: archlinux debian-unstable fedora-40 fedora-rawhide mageia-cauldron
#: opensuse-leap-15-6 opensuse-tumbleweed
msgid "C11, POSIX.1-2008."
msgstr ""
#. type: SH
#: archlinux debian-unstable fedora-40 fedora-rawhide mageia-cauldron
#: opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "HISTORY"
msgstr ""
#. type: Plain text
#: archlinux debian-unstable fedora-40 fedora-rawhide mageia-cauldron
#: opensuse-leap-15-6 opensuse-tumbleweed
msgid "glibc 2.1. C99, POSIX.1-2001."
msgstr ""
#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "NOTES"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"This function had to be called \"true gamma function\" since there is "
"already a function B<gamma>(3) that returns something else (see "
"B<gamma>(3) for details)."
msgstr ""
#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "BUGS"
msgstr ""
#. #-#-#-#-# archlinux: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. https://www.sourceware.org/bugzilla/show_bug.cgi?id=6809
#. type: Plain text
#. #-#-#-#-# debian-bookworm: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. http://sources.redhat.com/bugzilla/show_bug.cgi?id=6809
#. type: Plain text
#. #-#-#-#-# debian-unstable: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. https://www.sourceware.org/bugzilla/show_bug.cgi?id=6809
#. type: Plain text
#. #-#-#-#-# fedora-40: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. https://www.sourceware.org/bugzilla/show_bug.cgi?id=6809
#. type: Plain text
#. #-#-#-#-# fedora-rawhide: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. https://www.sourceware.org/bugzilla/show_bug.cgi?id=6809
#. type: Plain text
#. #-#-#-#-# mageia-cauldron: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. https://www.sourceware.org/bugzilla/show_bug.cgi?id=6809
#. type: Plain text
#. #-#-#-#-# opensuse-leap-15-6: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. https://www.sourceware.org/bugzilla/show_bug.cgi?id=6809
#. type: Plain text
#. #-#-#-#-# opensuse-tumbleweed: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. https://www.sourceware.org/bugzilla/show_bug.cgi?id=6809
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"Before glibc 2.18, the glibc implementation of these functions did not set "
"I<errno> to B<EDOM> when I<x> is negative infinity."
msgstr ""
#. #-#-#-#-# archlinux: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. https://www.sourceware.org/bugzilla/show_bug.cgi?id=6810
#. type: Plain text
#. #-#-#-#-# debian-bookworm: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. http://sources.redhat.com/bugzilla/show_bug.cgi?id=6810
#. type: Plain text
#. #-#-#-#-# debian-unstable: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. https://www.sourceware.org/bugzilla/show_bug.cgi?id=6810
#. type: Plain text
#. #-#-#-#-# fedora-40: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. https://www.sourceware.org/bugzilla/show_bug.cgi?id=6810
#. type: Plain text
#. #-#-#-#-# fedora-rawhide: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. https://www.sourceware.org/bugzilla/show_bug.cgi?id=6810
#. type: Plain text
#. #-#-#-#-# mageia-cauldron: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. https://www.sourceware.org/bugzilla/show_bug.cgi?id=6810
#. type: Plain text
#. #-#-#-#-# opensuse-leap-15-6: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. https://www.sourceware.org/bugzilla/show_bug.cgi?id=6810
#. type: Plain text
#. #-#-#-#-# opensuse-tumbleweed: tgamma.3.pot (PACKAGE VERSION) #-#-#-#-#
#. https://www.sourceware.org/bugzilla/show_bug.cgi?id=6810
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"Before glibc 2.19, the glibc implementation of these functions did not set "
"I<errno> to B<ERANGE> on an underflow range error."
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"In glibc versions 2.3.3 and earlier, an argument of +0 or -0 incorrectly "
"produced a domain error (I<errno> set to B<EDOM> and an B<FE_INVALID> "
"exception raised), rather than a pole error."
msgstr ""
#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "SEE ALSO"
msgstr ""
#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "B<gamma>(3), B<lgamma>(3)"
msgstr ""
#. type: TH
#: debian-bookworm
#, no-wrap
msgid "2023-02-10"
msgstr ""
#. type: TH
#: debian-bookworm
#, no-wrap
msgid "Linux man-pages 6.03"
msgstr ""
#. type: SH
#: debian-bookworm
#, no-wrap
msgid "VERSIONS"
msgstr ""
#. type: Plain text
#: debian-bookworm
msgid "These functions were added in glibc 2.1."
msgstr ""
#. type: Plain text
#: debian-bookworm
msgid "C99, POSIX.1-2001, POSIX.1-2008."
msgstr ""
#. type: TH
#: debian-unstable opensuse-tumbleweed
#, no-wrap
msgid "2023-07-20"
msgstr ""
#. type: TH
#: debian-unstable opensuse-tumbleweed
#, no-wrap
msgid "Linux man-pages 6.05.01"
msgstr ""
#. type: TH
#: opensuse-leap-15-6
#, no-wrap
msgid "2023-03-30"
msgstr ""
#. type: TH
#: opensuse-leap-15-6
#, no-wrap
msgid "Linux man-pages 6.04"
msgstr ""
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