# SOME DESCRIPTIVE TITLE # Copyright (C) YEAR Free Software Foundation, Inc. # This file is distributed under the same license as the PACKAGE package. # FIRST AUTHOR , 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 \n" "Language-Team: LANGUAGE \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, 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 Emath.hE>\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 "" "BIB<);>\n" "BIB<);>\n" "BIB<);>\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(7)):" msgstr "" #. type: Plain text #: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide #: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed msgid "B(), B(), B():" 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= 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." 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 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:" 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 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 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 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 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, B, or B, 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 is -0 or +0, a pole error occurs, and the functions return " "B, B, or B, 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(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 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 is set to B. An invalid floating-point exception " "(B) 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 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 is set to B. A divide-by-zero floating-point exception " "(B) 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 is set to B. An overflow floating-point exception " "(B) 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) is raised, and " "I is set to B." 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(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(),\n" "B(),\n" "B()" 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(3) that returns something else (see " "B(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 to B when I 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 to B 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 set to B and an B " "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(3), B(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 ""