head 1.1; branch 1.1.1; access; symbols netbsd-11-0-RELEASE:1.1.1.3 netbsd-11-0-RC7:1.1.1.3 netbsd-11-0-RC6:1.1.1.3 netbsd-11-0-RC5:1.1.1.3 netbsd-11-0-RC4:1.1.1.3 netbsd-11-0-RC3:1.1.1.3 netbsd-11-0-RC2:1.1.1.3 netbsd-11-0-RC1:1.1.1.3 perseant-exfatfs-base-20250801:1.1.1.3 netbsd-11:1.1.1.3.0.14 netbsd-11-base:1.1.1.3 netbsd-10-1-RELEASE:1.1.1.3 perseant-exfatfs-base-20240630:1.1.1.3 perseant-exfatfs:1.1.1.3.0.12 perseant-exfatfs-base:1.1.1.3 netbsd-8-3-RELEASE:1.1.1.1 netbsd-9-4-RELEASE:1.1.1.3 netbsd-10-0-RELEASE:1.1.1.3 netbsd-10-0-RC6:1.1.1.3 netbsd-10-0-RC5:1.1.1.3 netbsd-10-0-RC4:1.1.1.3 netbsd-10-0-RC3:1.1.1.3 netbsd-10-0-RC2:1.1.1.3 netbsd-10-0-RC1:1.1.1.3 mpc-1-3-1:1.1.1.3 netbsd-10:1.1.1.3.0.10 netbsd-10-base:1.1.1.3 netbsd-9-3-RELEASE:1.1.1.3 mpc-1-2-1:1.1.1.3 cjep_sun2x-base1:1.1.1.3 cjep_sun2x:1.1.1.3.0.8 cjep_sun2x-base:1.1.1.3 cjep_staticlib_x-base1:1.1.1.3 netbsd-9-2-RELEASE:1.1.1.3 cjep_staticlib_x:1.1.1.3.0.6 cjep_staticlib_x-base:1.1.1.3 netbsd-9-1-RELEASE:1.1.1.3 mpc-1-2-0:1.1.1.3 phil-wifi-20200421:1.1.1.3 phil-wifi-20200411:1.1.1.3 is-mlppp:1.1.1.3.0.4 is-mlppp-base:1.1.1.3 phil-wifi-20200406:1.1.1.3 netbsd-8-2-RELEASE:1.1.1.1 netbsd-9-0-RELEASE:1.1.1.3 netbsd-9-0-RC2:1.1.1.3 netbsd-9-0-RC1:1.1.1.3 phil-wifi-20191119:1.1.1.3 netbsd-9:1.1.1.3.0.2 netbsd-9-base:1.1.1.3 phil-wifi-20190609:1.1.1.3 netbsd-8-1-RELEASE:1.1.1.1 netbsd-8-1-RC1:1.1.1.1 pgoyette-compat-merge-20190127:1.1.1.2.2.1 pgoyette-compat-20190127:1.1.1.3 pgoyette-compat-20190118:1.1.1.3 pgoyette-compat-1226:1.1.1.3 pgoyette-compat-1126:1.1.1.3 pgoyette-compat-1020:1.1.1.3 pgoyette-compat-0930:1.1.1.3 pgoyette-compat-0906:1.1.1.3 mpc-1-1-0:1.1.1.3 netbsd-7-2-RELEASE:1.1.1.1 pgoyette-compat-0728:1.1.1.2 netbsd-8-0-RELEASE:1.1.1.1 phil-wifi:1.1.1.2.0.4 phil-wifi-base:1.1.1.2 pgoyette-compat-0625:1.1.1.2 netbsd-8-0-RC2:1.1.1.1 pgoyette-compat-0521:1.1.1.2 pgoyette-compat-0502:1.1.1.2 pgoyette-compat-0422:1.1.1.2 netbsd-8-0-RC1:1.1.1.1 pgoyette-compat-0415:1.1.1.2 pgoyette-compat-0407:1.1.1.2 pgoyette-compat-0330:1.1.1.2 pgoyette-compat-0322:1.1.1.2 pgoyette-compat-0315:1.1.1.2 netbsd-7-1-2-RELEASE:1.1.1.1 pgoyette-compat:1.1.1.2.0.2 pgoyette-compat-base:1.1.1.2 netbsd-7-1-1-RELEASE:1.1.1.1 matt-nb8-mediatek:1.1.1.1.0.26 matt-nb8-mediatek-base:1.1.1.1 mpc-1-0-3:1.1.1.2 perseant-stdc-iso10646:1.1.1.1.0.24 perseant-stdc-iso10646-base:1.1.1.1 netbsd-8:1.1.1.1.0.22 netbsd-8-base:1.1.1.1 prg-localcount2-base3:1.1.1.1 prg-localcount2-base2:1.1.1.1 prg-localcount2-base1:1.1.1.1 prg-localcount2:1.1.1.1.0.20 prg-localcount2-base:1.1.1.1 pgoyette-localcount-20170426:1.1.1.1 bouyer-socketcan-base1:1.1.1.1 pgoyette-localcount-20170320:1.1.1.1 netbsd-7-1:1.1.1.1.0.18 netbsd-7-1-RELEASE:1.1.1.1 netbsd-7-1-RC2:1.1.1.1 netbsd-7-nhusb-base-20170116:1.1.1.1 bouyer-socketcan:1.1.1.1.0.16 bouyer-socketcan-base:1.1.1.1 pgoyette-localcount-20170107:1.1.1.1 netbsd-7-1-RC1:1.1.1.1 pgoyette-localcount-20161104:1.1.1.1 netbsd-7-0-2-RELEASE:1.1.1.1 localcount-20160914:1.1.1.1 netbsd-7-nhusb:1.1.1.1.0.14 netbsd-7-nhusb-base:1.1.1.1 pgoyette-localcount-20160806:1.1.1.1 pgoyette-localcount-20160726:1.1.1.1 pgoyette-localcount:1.1.1.1.0.12 pgoyette-localcount-base:1.1.1.1 netbsd-7-0-1-RELEASE:1.1.1.1 netbsd-7-0:1.1.1.1.0.10 netbsd-7-0-RELEASE:1.1.1.1 netbsd-7-0-RC3:1.1.1.1 netbsd-7-0-RC2:1.1.1.1 netbsd-7-0-RC1:1.1.1.1 tls-maxphys-base:1.1.1.1 tls-maxphys:1.1.1.1.0.8 netbsd-7:1.1.1.1.0.6 netbsd-7-base:1.1.1.1 yamt-pagecache:1.1.1.1.0.4 yamt-pagecache-base9:1.1.1.1 tls-earlyentropy:1.1.1.1.0.2 tls-earlyentropy-base:1.1.1.1 riastradh-xf86-video-intel-2-7-1-pre-2-21-15:1.1.1.1 riastradh-drm2-base3:1.1.1.1 mpc-1-0-1:1.1.1.1 mpc:1.1.1; locks; strict; comment @# @; 1.1 date 2013.11.28.10.32.39; author mrg; state Exp; branches 1.1.1.1; next ; commitid q22cPE2uoE8G02fx; 1.1.1.1 date 2013.11.28.10.32.39; author mrg; state Exp; branches 1.1.1.1.4.1 1.1.1.1.8.1; next 1.1.1.2; commitid q22cPE2uoE8G02fx; 1.1.1.2 date 2017.08.17.00.08.04; author mrg; state Exp; branches 1.1.1.2.2.1 1.1.1.2.4.1; next 1.1.1.3; commitid Y7TKj8mSw5D8Uu3A; 1.1.1.3 date 2018.09.04.04.28.12; author mrg; state Exp; branches; next ; commitid oOC0vQcFoJw32KQA; 1.1.1.1.4.1 date 2013.11.28.10.32.39; author yamt; state dead; branches; next 1.1.1.1.4.2; commitid nx2BSsHy0NPeAxBx; 1.1.1.1.4.2 date 2014.05.22.14.09.14; author yamt; state Exp; branches; next ; commitid nx2BSsHy0NPeAxBx; 1.1.1.1.8.1 date 2013.11.28.10.32.39; author tls; state dead; branches; next 1.1.1.1.8.2; commitid jTnpym9Qu0o4R1Nx; 1.1.1.1.8.2 date 2014.08.20.00.00.02; author tls; state Exp; branches; next ; commitid jTnpym9Qu0o4R1Nx; 1.1.1.2.2.1 date 2018.09.06.06.53.44; author pgoyette; state Exp; branches; next ; commitid HCi1bXD317XIK0RA; 1.1.1.2.4.1 date 2019.06.10.22.02.24; author christos; state Exp; branches; next ; commitid jtc8rnCzWiEEHGqB; desc @@ 1.1 log @Initial revision @ text @# Data file for mpc_pow. # # Copyright (C) 2009, 2011, 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # For explanations on the file format, see add.dat. 0 0 53 +1 53 0 53 nan 53 +0 53 +0 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +0 53 -1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +1 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +1 53 +1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 -1 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 +1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 -1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 -inf 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 +0 53 -1 N N 0 0 53 inf 53 nan 53 +inf 53 +0 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +1 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 -1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 +0 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 +1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 -1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 +0 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 +1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 -1 N N 0 0 53 1 53 +0 53 +0 53 +0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 +0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 +0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 +0 53 +0 53 -0 53 -0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 -0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 -0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 -0 53 -0 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 +0 53 -1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +1 53 +0 N N 0 0 53 0 53 0 53 +0 53 +0 53 +1 53 +1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +1 53 -1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 +0 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 +1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 -1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 +0 N N 0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 +1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 -1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 +0 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 +1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 -1 N N # zeros with determined sign, see algorithms.tex # x^0 = +1 +sign(Im(x))*sign(Re(y))*0i when |x|=1 0 0 53 +1 53 +0 53 +0 53 +1 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 +1 53 +0 53 +0 N D #round toward -oo 0 0 53 +1 53 +0 53 -0 53 +1 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -1 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -1 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 -1 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 -1 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 +1 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 +1 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -1 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -1 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 -1 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 -1 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 +1 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 +1 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -1 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -1 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 -1 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 -1 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 +1 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 +1 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -1 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -1 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 -1 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0 53 -1 53 -0 53 -0 N N # x^0 = +1 +sign(Im(y))*0i when |x| > 1 0 0 53 +1 53 +0 53 +inf 53 +2 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +inf 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +2 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +2 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 +2 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 +2 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -5 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -2 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -inf 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -inf 53 +3 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +inf 53 -inf 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 -2 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 -5 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +5 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 -inf 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 -inf 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -5 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 -2 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -inf 53 -inf 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +inf 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +2 53 -5 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +5 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 -2 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 -2 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -inf 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +inf 53 +inf 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 +5 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 +2 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 +2 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -5 53 +2 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -5 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -inf 53 +inf 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -inf 53 +inf 53 -0 53 -0 N N # x^0 = +1 -sign(Im(y))*0i when 1 > |x| > 0 0 0 53 +1 53 -0 53 +0.5 53 -0.5 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -0.5 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 -0.5 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 -0.5 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0.5 53 +0.5 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -0.5 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 +0 53 +0.5 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 +0.5 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0.5 53 +0.5 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -0.5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 +0.5 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 +0.5 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +0.5 53 -0.5 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -0.5 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0 53 -0.5 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 -0.5 53 -0 53 -0 N N # determined sign of imaginary part in pure real powers 0 0 53 +9 53 +0 53 +3 53 +0 53 +2 53 +0 N N 0 0 53 +9 53 -0 53 +3 53 -0 53 +2 53 -0 N N 0 0 53 0.25 53 +0 53 +2 53 -0 53 -2 53 +0 N N 0 0 53 0.25 53 -0 53 +2 53 +0 53 -2 53 -0 N N 0 0 53 +1 53 +0 53 +1 53 +0 53 +4 53 +0 N N 0 0 53 +1 53 +0 53 +1 53 +0 53 +4 53 -0 N N 0 0 53 +1 53 -0 53 +1 53 -0 53 +4 53 +0 N N 0 0 53 +1 53 -0 53 +1 53 -0 53 +4 53 -0 N N 0 0 53 +1 53 +0 53 +1 53 -0 53 -4 53 +0 N N 0 0 53 +1 53 +0 53 +1 53 -0 53 -4 53 -0 N N 0 0 53 +1 53 -0 53 +1 53 +0 53 -4 53 +0 N N 0 0 53 +1 53 -0 53 +1 53 +0 53 -4 53 -0 N N 0 0 53 0.25 53 +0 53 +0.5 53 +0 53 +2 53 -0 N N 0 0 53 0.25 53 -0 53 +0.5 53 -0 53 +2 53 +0 N N 0 0 53 +4 53 +0 53 +0.5 53 -0 53 -2 53 -0 N N 0 0 53 +4 53 -0 53 +0.5 53 +0 53 -2 53 +0 N N # pure real power with nondetermined sign in imaginary part 0 0 53 1 53 0 53 +2 53 -1 53 +0 53 +0 N N 0 0 53 1 53 0 53 -2 53 -1 53 +0 53 +0 N N 0 0 53 1 53 0 53 -2 53 -0 53 +0 53 +0 N N 0 0 53 1 53 0 53 +0.5 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 +0 53 +0 53 +0 N N 0 0 53 1 53 0 53 +0 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0 53 -4 53 +0 53 +0 N N 0 0 53 1 53 0 53 +0 53 -4 53 +0 53 +0 N N 0 0 53 1 53 0 53 -1 53 -0 53 +0 53 +0 N N 0 0 53 1 53 0 53 -1 53 +0 53 +0 53 +0 N N 0 0 53 1 53 0 53 +2 53 -1 53 -0 53 -0 N N 0 0 53 1 53 0 53 -2 53 -1 53 -0 53 -0 N N 0 0 53 1 53 0 53 -2 53 -0 53 -0 53 -0 N N 0 0 53 1 53 0 53 +0.5 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 +0 53 -0 53 -0 N N 0 0 53 1 53 0 53 +0 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0 53 -4 53 -0 53 -0 N N 0 0 53 1 53 0 53 +0 53 -4 53 -0 53 -0 N N 0 0 53 1 53 0 53 -1 53 -0 53 -0 53 -0 N N 0 0 53 1 53 0 53 -1 53 +0 53 -0 53 -0 N N 0 0 53 1 53 0 53 +2 53 +1 53 -0 53 +0 N N 0 0 53 1 53 0 53 -2 53 +1 53 -0 53 +0 N N 0 0 53 1 53 0 53 -2 53 +0 53 -0 53 +0 N N 0 0 53 1 53 0 53 +0.5 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 -0 53 -0 53 +0 N N 0 0 53 1 53 0 53 +0 53 +5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0 53 +5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 +0 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -1 53 -0 53 -0 53 +0 N N 0 0 53 1 53 0 53 -1 53 +0 53 -0 53 +0 N N 0 0 53 1 53 0 53 +2 53 +1 53 +0 53 -0 N N 0 0 53 1 53 0 53 -2 53 +1 53 +0 53 -0 N N 0 0 53 1 53 0 53 -2 53 +0 53 +0 53 -0 N N 0 0 53 1 53 0 53 +0.5 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 -0 53 +0 53 -0 N N 0 0 53 1 53 0 53 +0 53 +5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0 53 +5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 +0 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -1 53 -0 53 +0 53 -0 N N 0 0 53 1 53 0 53 -1 53 +0 53 +0 53 -0 N N 0 0 53 4 53 0 53 +2 53 -0 53 +2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 +2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 +2 53 -0 N N 0 0 53 4 53 0 53 +2 53 +0 53 +2 53 -0 N N 0 0 53 1 53 0 53 +1 53 -0 53 +2 53 +0 N N 0 0 53 1 53 0 53 +1 53 -0 53 +2 53 -0 N N 0 0 53 +.25 53 0 53 +2 53 +0 53 -2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 -2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 -2 53 -0 N N 0 0 53 +.25 53 0 53 +2 53 -0 53 -2 53 -0 N N 0 0 53 1 53 0 53 +1 53 -0 53 -2 53 +0 N N 0 0 53 1 53 0 53 +1 53 -0 53 -2 53 -0 N N # when (+/-1 +/-0i)^y is pure real 0 0 53 1 53 0 53 +1 53 -0 53 -2 53 +1 N N 0 0 53 1 53 0 53 +1 53 -0 53 -1 53 +2 N N 0 0 53 1 53 0 53 +1 53 -0 53 -0 53 +1 N N - 0 53 +0x10BBEEE9177E19p-43 53 0 53 -1 53 -0 53 -0 53 +2 N N + 0 53 +0x1E989F5D6DFF5Cp-62 53 0 53 -1 53 +0 53 +0 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 +0 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 +2 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 +0 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 -1 53 -1 N N 0 0 53 1 53 0 53 +1 53 +0 53 -0 53 -1 N N + 0 53 +0x1724046EB0933Ap-48 53 0 53 -1 53 +0 53 -0 53 -1 N N 0 0 53 1 53 0 53 +1 53 -0 53 +0 53 -1 N N + 0 53 +0x1620227B598EF9p-57 53 0 53 -1 53 -0 53 +0 53 -1 N N 0 0 53 1 53 0 53 +1 53 -0 53 +2 53 -3 N N + 0 53 +0x1D4102BC3F7D4Cp-71 53 0 53 -1 53 +0 53 +0 53 +4 N N + 0 53 +0x1724046EB0933Ap-48 53 0 53 -1 53 -0 53 -0 53 +1 N N # when (0 +/-i)^y is pure real + 0 53 +0x1724046EB0933Ap-48 53 0 53 -0 53 -1 53 -0 53 +2 N N - 0 53 +0x1BD4567B975381p-46 53 0 53 +0 53 -1 53 -0 53 +3 N N + 0 53 +0x1620227B598EF9p-57 53 0 53 +0 53 +1 53 +0 53 +2 N N - 0 53 +0x1265D4E92B6B9Bp-59 53 0 53 -0 53 +1 53 +0 53 +3 N N + 0 53 +0x1724046EB0933Ap-48 53 0 53 +0 53 +1 53 -0 53 -2 N N - 0 53 +0x1BD4567B975381p-46 53 0 53 -0 53 +1 53 -0 53 -3 N N - 0 53 +0x1A9BCC46F767DFp-55 53 0 53 +0 53 -1 53 +0 53 -1 N N + 0 53 +0x1620227B598EF9p-57 53 0 53 -0 53 -1 53 +0 53 -2 N N # exact cases # (-1)^(1/2) = i 0 0 2 0 2 1 2 -1 2 0 2 0x1p-1 2 0 N N # (-4)^(1/4) = 1+i 0 0 2 1 2 1 2 -4 2 0 2 0x1p-2 2 0 N N # for an odd positive integer n, a positive integer m and an integer e: # (-4 m^4 16^e)^(n/4) = (1+i)^n m^n 2^(e n) # m=3 e=5 n=7 0 0 12 0x88Bp38 12 -0x88Bp38 7 -0x51p22 7 0 3 0x7p-2 3 0 N N # (-4 16^e)^(-n/4) = (1-i)^n 2^(- (e+1) n) # e=3 n=5 0 0 2 -0x1p-18 2 0x1p-18 2 -0x1p14 2 0 3 -0x5p-2 3 0 N N # e=2 n=5 0 0 2 -0x1p-13 2 0x1p-13 2 -0x1p10 2 0 3 -0x5p-2 3 0 N N # (+2 +0)^(-3 -0) -> (-1/8 -0) # x = 2 + epsilon*i, y = -3 - delta*i # log(x) = log(2) + epsilon/2*i + O(epsilon^2) # y*log(x) = [-3*log(2) + o(1)] + [-3*epsilon/2-delta*log(2)]*i 0 0 2 0x1p-3 2 -0 2 2 2 +0 2 -3 2 -0 N N # (-2 -0)^(3 +0) -> (-8 -0) # x = -2 - epsilon*i, y = 3 + delta*i # log(x) = log(2) - [Pi-epsilon/2]*i + O(epsilon^2) # y*log(x) ~ 3*log(2) + [-3*Pi+3*epsilon/2+delta*log(2)]*i 0 0 2 -8 2 -0 2 -2 2 -0 2 3 2 +0 N N # (-2 -0)^(-3 -0) -> (-1/8 +0) # x = -2 - epsilon*i, y = -3 - delta*i # log(x) = log(2) - [Pi-epsilon/2]*i + O(epsilon^2) # y*log(x) ~ -3*log(2) + [3*Pi-3*epsilon/2-delta*log(2)]*i 0 0 2 -0x1p-3 2 +0 2 -2 2 -0 2 -3 2 -0 N N 0 0 2 +0 2 -2 2 +0 2 0x1p-1 2 -1 2 -0 N N 0 0 2 +0 2 -2 2 +0 2 0x1p-1 65 -1 2 -0 N N + + 2 -0x3p-64 2 -2 2 +0 2 0x1p-1 65 -0x10000000000000001p-64 2 -0 N N 0 - 2 +0 3 -5 2 +0 53 0xCCCCCCCCCCCCDp-54 2 -1 2 -0 N N # undefined zero sign in result - 0 5 -25 2 0 2 +0 53 0xCCCCCCCCCCCCDp-54 2 -2 2 -0 N N - - 53 -0x85649E3220691p-63 53 -0x14A25D455A9D0Dp-60 3 5 2 3 2 -3 2 +0 N N + 0 53 0xABCC77118461Dp-74 2 +0 3 5 3 5 2 -8 2 +0 N N + 0 53 -0x127DB86014739Dp-93 2 -0 2 -1 2 -0 2 1 4 -9 N N + + 24 0xC1F98Dp-21 24 0x12FF89p-2 24 -7 24 +0 24 0xCFFFF3p-21 24 +0 N N # underflow case - - 24 +0 24 +0 24 2 24 0x44CCCDp-20 24 -0x7FFFF200 24 -0x7FFFF200 N N - 0 53 0x14D55AFA6E0BB0p210433620 53 0 53 +0 53 0x44CCCCFFFFFFFp-48 53 0x5F5E100 53 +0 N N - 0 53 0x14D55B174EE67Ep210433620 53 0 53 +0 53 0x44CCCDp-20 53 0x5F5E100 53 +0 N N 0 0 24 -10 24 198 24 5 24 3 24 3 24 +0 N N + - 113 0x1731C86FF8E8C7D80C8F1C83460B7p-38951 113 0x1CE5ECB8E88C769AF45FA662568CFp-38950 113 2 113 0x11333333333333333333333333333p-110 113 -10000 113 10000 N N - - 652 0x8E0380781E0124C92903E153123260CEF2C8821EDEC1D518A270FD55720DB5114D3D72CEE0E51CCEAA532FC6DA983707E66AE0E1A5E116D72AF5F2420D8402BE3E7FF03658E7ADFE2667C67291D74877383p-651 652 -0xB5FECD07C42E7AEE5A3489729B566DB4C6284C575E281585B0BFA711859D178BD8B07352B58BF615DD2DEC68798F0D2A644D5D18149D12BC53F851C5908F1EDE1C71F2B8D4934B1CE932AB94C0B8AE54C73p-665 163 0x5E9BDCC756D1E864413EA56F2A35C6D7D58DD117Bp-158 163 -0xE6BCC7A0E6EC5F2B1CBCF2707D829C2CB1A56FCFp-164 163 0x21A13BA8E157F23649FC27B031EAA12B826FB7E9Dp-166 163 0 N N 0 0 2 0 2 1 2 -1 2 0 2 0x1p-1 2 0 N N + + 2 -0x3p-65 2 1 2 -1 2 0 65 0x10000000000000001p-65 2 0 N N 0 0 2 1 2 +0 65 0x10000000000000001p-64 2 +0 2 +0 2 +0 N N 0 0 2 1 2 -0 65 0xFFFFFFFFFFFFFFFFp-64 2 +0 2 +0 2 +0 N N 0 + 2 +0 2 0.75 2 -0.5 2 0 2 0.5 2 0 N N 0 0 2 0 2 2 2 1 2 1 2 2 2 +0 N N # I^2 = -1 0 0 2 -1 2 +0 2 +0 2 1 2 2 2 +0 N N + 0 2 -1 2 +0 2 +0 65 0x10000000000000001p-64 2 2 2 +0 N N # overflow cases - - 2 -inf 2 -inf 2 3 2 1 28 744261116 2 +0 N N - + 2 -inf 2 +inf 2 3 2 -1 28 744261116 2 +0 N N + + 2 +inf 2 +inf 2 4 2 3 28 744261116 2 +0 N N + - 2 +inf 2 -inf 2 4 2 -3 28 744261116 2 +0 N N # underflow cases + - 2 -0 2 +0 2 3 2 1 28 -744261116 2 +0 N N + + 2 -0 2 -0 2 3 2 -1 28 -744261116 2 +0 N N - + 2 +0 2 -0 2 4 2 3 28 -744261116 2 +0 N N - - 2 +0 2 +0 2 4 2 -3 28 -744261116 2 +0 N N # exact powers with non-integer exponent 0 0 2 1 2 1 2 0 2 2 2 0.5 2 0 N N 0 0 2 -2 2 2 2 0 2 2 2 1.5 2 0 N N 0 0 2 1 2 64 12 -4095 2 128 2 0.5 2 0 N N 0 0 3 5 2 3 2 16 4 30 2 0.5 2 0 N N 0 0 7 97 7 99 6 -392 14 19206 2 0.5 2 0 N N 0 0 6 63 6 61 5 248 18 7686 2 0.5 2 0 N N 0 0 6 63 6 61 24 -59013092 17 3812256 2 0.25 2 0 N N 0 + 2 0 2 0x3p-6 2 -1 2 0 2 0.5 2 1 N N + + 2 6 2 1 41 -0x2ce019e6f1e 36 0x1878418ba20 2 0.0625 2 0 N N + + 4 11 2 1 111 -0x73558286726957f922819cbeffff 109 0x1c484a8b32dbf409e966a8c00000 2 0x1p-5 2 0 N N + + 5 21 2 1 282 -0x24ea91ddba938e750d999f1075444e15d6ca0fff6a19c8cbefe6260261fd57effffffff 278 0x390aa828a3d933391ab999b0b0aa71aafbfc7b127fe30c84d107634940ba8000000000 2 0x1p-6 2 0 N N @ 1.1.1.1 log @initial import of MPC 1.0.1 package. changes since 0.9: Changes in version 1.0.1: - Switched to automake 1.11.6, see https://lists.gnu.org/archive/html/automake/2012-07/msg00023.html - #14669: Fixed extraction of CC from gmp.h - Fixed case of intermediate zero real or imaginary part in mpc_fma, found by hydra with GMP_CHECK_RANDOMIZE=1346362345 Changes in version 1.0: - First release as a GNU package - License change: LGPLv3+ for code, GFDLv1.3+ (with no invariant sections) for documentation - 100% of all lines are covered by tests - Functions renamed: mpc_mul_2exp to mpc_mul_2ui, mpc_div_2exp to mpc_div_2ui - 0^0, which returned (NaN,NaN) previously, now returns (1,+0) - Removed compatibility with K&R compilers, untestable due to lack of such compilers - New functions: mpc_log10, mpc_mul_2si, mpc_div_2si - Speed-ups: - mpc_fma - Bug fixes: - mpc_div and mpc_norm now return a value indicating the effective rounding direction, as the other functions - mpc_mul, mpc_sqr and mpc_norm now return correct results even if there are over- or underflows during the computation - mpc_asin, mpc_proj, mpc_sqr: Wrong result when input variable has infinite part and equals output variable is corrected - mpc_fr_sub: Wrong return value for imaginary part is corrected @ text @@ 1.1.1.2 log @initial import of MPC 1.0.3 package. changes since 1.0.1: Changes in version 1.0.3: - Fixed mpc_pow, see http://lists.gforge.inria.fr/pipermail/mpc-discuss/2014-October/001315.html - #18257: Switched to libtool 2.4.5. Changes in version 1.0.2: - Fixed mpc_atan, mpc_atanh for (+-0, +-1), see http://gcc.gnu.org/bugzilla/show_bug.cgi?id=57994#c7 - Fixed mpc_log10 for purely imaginary argument, see http://lists.gforge.inria.fr/pipermail/mpc-discuss/2012-September/001208.html @ text @a469 1 + - 53 0x7f661e2bd0db5p-51 53 0xc63ee1a1c4d19p-55 2 0x1p1000 2 0 2 0 2 0x1p1000 N N @ 1.1.1.2.4.1 log @Sync with HEAD @ text @a470 3 # bug reported by Joseph Myers (07 Apr 2015) + - 2 -0x3p1073741819 2 0x3p1073741819 2 1 2 2 2 0x1p1000 2 0 Z Z @ 1.1.1.2.2.1 log @Sync with HEAD Resolve a couple of conflicts (result of the uimin/uimax changes) @ text @a470 3 # bug reported by Joseph Myers (07 Apr 2015) + - 2 -0x3p1073741819 2 0x3p1073741819 2 1 2 2 2 0x1p1000 2 0 Z Z @ 1.1.1.3 log @import MPC 1.1.0. from their NEWS: Changes in version 1.1.0: - Minimally required library versions: GMP 5.0.0 and MPFR 3.0.0 - Fixed issues with MPFR 4.0.0 - New functions: mpc_cmp_abs, mpc_rootofunity - Improved speed for corner cases of mpc_asin, mpc_sin, see http://lists.gforge.inria.fr/pipermail/mpc-discuss/2013-December/001266.html - Rewrite of the testing framework - New mpcbench tool, used with "make bench" - Fixed handling of over- and underflows with directed rounding in the "other direction" for mpc_cos, mpc_sin, mpc_exp and mpc_pow, see http://lists.gforge.inria.fr/pipermail/mpc-discuss/2015-March/001336.html - Fixed a bug in mpc_atan(0,y) with |y| near 1, see http://lists.gforge.inria.fr/pipermail/mpc-discuss/2017-March/001404.html @ text @a470 3 # bug reported by Joseph Myers (07 Apr 2015) + - 2 -0x3p1073741819 2 0x3p1073741819 2 1 2 2 2 0x1p1000 2 0 Z Z @ 1.1.1.1.8.1 log @file pow.dat was added on branch tls-maxphys on 2014-08-20 00:00:02 +0000 @ text @d1 469 @ 1.1.1.1.8.2 log @Rebase to HEAD as of a few days ago. @ text @a0 469 # Data file for mpc_pow. # # Copyright (C) 2009, 2011, 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # For explanations on the file format, see add.dat. 0 0 53 +1 53 0 53 nan 53 +0 53 +0 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +0 53 -1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +1 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +1 53 +1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 -1 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 +1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 -1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 -inf 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 +0 53 -1 N N 0 0 53 inf 53 nan 53 +inf 53 +0 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +1 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 -1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 +0 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 +1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 -1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 +0 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 +1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 -1 N N 0 0 53 1 53 +0 53 +0 53 +0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 +0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 +0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 +0 53 +0 53 -0 53 -0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 -0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 -0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 -0 53 -0 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 +0 53 -1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +1 53 +0 N N 0 0 53 0 53 0 53 +0 53 +0 53 +1 53 +1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +1 53 -1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 +0 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 +1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 -1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 +0 N N 0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 +1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 -1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 +0 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 +1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 -1 N N # zeros with determined sign, see algorithms.tex # x^0 = +1 +sign(Im(x))*sign(Re(y))*0i when |x|=1 0 0 53 +1 53 +0 53 +0 53 +1 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 +1 53 +0 53 +0 N D #round toward -oo 0 0 53 +1 53 +0 53 -0 53 +1 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -1 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -1 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 -1 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 -1 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 +1 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 +1 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -1 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -1 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 -1 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 -1 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 +1 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 +1 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -1 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -1 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 -1 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 -1 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 +1 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 +1 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -1 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -1 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 -1 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0 53 -1 53 -0 53 -0 N N # x^0 = +1 +sign(Im(y))*0i when |x| > 1 0 0 53 +1 53 +0 53 +inf 53 +2 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +inf 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +2 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +2 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 +2 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 +2 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -5 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -2 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -inf 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -inf 53 +3 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +inf 53 -inf 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 -2 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 -5 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +5 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 -inf 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 -inf 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -5 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 -2 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -inf 53 -inf 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +inf 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +2 53 -5 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +5 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 -2 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 -2 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -inf 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +inf 53 +inf 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 +5 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 +2 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 +2 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -5 53 +2 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -5 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -inf 53 +inf 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -inf 53 +inf 53 -0 53 -0 N N # x^0 = +1 -sign(Im(y))*0i when 1 > |x| > 0 0 0 53 +1 53 -0 53 +0.5 53 -0.5 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -0.5 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 -0.5 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 -0.5 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0.5 53 +0.5 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -0.5 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 +0 53 +0.5 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 +0.5 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0.5 53 +0.5 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -0.5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 +0.5 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 +0.5 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +0.5 53 -0.5 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -0.5 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0 53 -0.5 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 -0.5 53 -0 53 -0 N N # determined sign of imaginary part in pure real powers 0 0 53 +9 53 +0 53 +3 53 +0 53 +2 53 +0 N N 0 0 53 +9 53 -0 53 +3 53 -0 53 +2 53 -0 N N 0 0 53 0.25 53 +0 53 +2 53 -0 53 -2 53 +0 N N 0 0 53 0.25 53 -0 53 +2 53 +0 53 -2 53 -0 N N 0 0 53 +1 53 +0 53 +1 53 +0 53 +4 53 +0 N N 0 0 53 +1 53 +0 53 +1 53 +0 53 +4 53 -0 N N 0 0 53 +1 53 -0 53 +1 53 -0 53 +4 53 +0 N N 0 0 53 +1 53 -0 53 +1 53 -0 53 +4 53 -0 N N 0 0 53 +1 53 +0 53 +1 53 -0 53 -4 53 +0 N N 0 0 53 +1 53 +0 53 +1 53 -0 53 -4 53 -0 N N 0 0 53 +1 53 -0 53 +1 53 +0 53 -4 53 +0 N N 0 0 53 +1 53 -0 53 +1 53 +0 53 -4 53 -0 N N 0 0 53 0.25 53 +0 53 +0.5 53 +0 53 +2 53 -0 N N 0 0 53 0.25 53 -0 53 +0.5 53 -0 53 +2 53 +0 N N 0 0 53 +4 53 +0 53 +0.5 53 -0 53 -2 53 -0 N N 0 0 53 +4 53 -0 53 +0.5 53 +0 53 -2 53 +0 N N # pure real power with nondetermined sign in imaginary part 0 0 53 1 53 0 53 +2 53 -1 53 +0 53 +0 N N 0 0 53 1 53 0 53 -2 53 -1 53 +0 53 +0 N N 0 0 53 1 53 0 53 -2 53 -0 53 +0 53 +0 N N 0 0 53 1 53 0 53 +0.5 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 +0 53 +0 53 +0 N N 0 0 53 1 53 0 53 +0 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0 53 -4 53 +0 53 +0 N N 0 0 53 1 53 0 53 +0 53 -4 53 +0 53 +0 N N 0 0 53 1 53 0 53 -1 53 -0 53 +0 53 +0 N N 0 0 53 1 53 0 53 -1 53 +0 53 +0 53 +0 N N 0 0 53 1 53 0 53 +2 53 -1 53 -0 53 -0 N N 0 0 53 1 53 0 53 -2 53 -1 53 -0 53 -0 N N 0 0 53 1 53 0 53 -2 53 -0 53 -0 53 -0 N N 0 0 53 1 53 0 53 +0.5 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 +0 53 -0 53 -0 N N 0 0 53 1 53 0 53 +0 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0 53 -4 53 -0 53 -0 N N 0 0 53 1 53 0 53 +0 53 -4 53 -0 53 -0 N N 0 0 53 1 53 0 53 -1 53 -0 53 -0 53 -0 N N 0 0 53 1 53 0 53 -1 53 +0 53 -0 53 -0 N N 0 0 53 1 53 0 53 +2 53 +1 53 -0 53 +0 N N 0 0 53 1 53 0 53 -2 53 +1 53 -0 53 +0 N N 0 0 53 1 53 0 53 -2 53 +0 53 -0 53 +0 N N 0 0 53 1 53 0 53 +0.5 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 -0 53 -0 53 +0 N N 0 0 53 1 53 0 53 +0 53 +5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0 53 +5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 +0 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -1 53 -0 53 -0 53 +0 N N 0 0 53 1 53 0 53 -1 53 +0 53 -0 53 +0 N N 0 0 53 1 53 0 53 +2 53 +1 53 +0 53 -0 N N 0 0 53 1 53 0 53 -2 53 +1 53 +0 53 -0 N N 0 0 53 1 53 0 53 -2 53 +0 53 +0 53 -0 N N 0 0 53 1 53 0 53 +0.5 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 -0 53 +0 53 -0 N N 0 0 53 1 53 0 53 +0 53 +5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0 53 +5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 +0 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -1 53 -0 53 +0 53 -0 N N 0 0 53 1 53 0 53 -1 53 +0 53 +0 53 -0 N N 0 0 53 4 53 0 53 +2 53 -0 53 +2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 +2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 +2 53 -0 N N 0 0 53 4 53 0 53 +2 53 +0 53 +2 53 -0 N N 0 0 53 1 53 0 53 +1 53 -0 53 +2 53 +0 N N 0 0 53 1 53 0 53 +1 53 -0 53 +2 53 -0 N N 0 0 53 +.25 53 0 53 +2 53 +0 53 -2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 -2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 -2 53 -0 N N 0 0 53 +.25 53 0 53 +2 53 -0 53 -2 53 -0 N N 0 0 53 1 53 0 53 +1 53 -0 53 -2 53 +0 N N 0 0 53 1 53 0 53 +1 53 -0 53 -2 53 -0 N N # when (+/-1 +/-0i)^y is pure real 0 0 53 1 53 0 53 +1 53 -0 53 -2 53 +1 N N 0 0 53 1 53 0 53 +1 53 -0 53 -1 53 +2 N N 0 0 53 1 53 0 53 +1 53 -0 53 -0 53 +1 N N - 0 53 +0x10BBEEE9177E19p-43 53 0 53 -1 53 -0 53 -0 53 +2 N N + 0 53 +0x1E989F5D6DFF5Cp-62 53 0 53 -1 53 +0 53 +0 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 +0 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 +2 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 +0 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 -1 53 -1 N N 0 0 53 1 53 0 53 +1 53 +0 53 -0 53 -1 N N + 0 53 +0x1724046EB0933Ap-48 53 0 53 -1 53 +0 53 -0 53 -1 N N 0 0 53 1 53 0 53 +1 53 -0 53 +0 53 -1 N N + 0 53 +0x1620227B598EF9p-57 53 0 53 -1 53 -0 53 +0 53 -1 N N 0 0 53 1 53 0 53 +1 53 -0 53 +2 53 -3 N N + 0 53 +0x1D4102BC3F7D4Cp-71 53 0 53 -1 53 +0 53 +0 53 +4 N N + 0 53 +0x1724046EB0933Ap-48 53 0 53 -1 53 -0 53 -0 53 +1 N N # when (0 +/-i)^y is pure real + 0 53 +0x1724046EB0933Ap-48 53 0 53 -0 53 -1 53 -0 53 +2 N N - 0 53 +0x1BD4567B975381p-46 53 0 53 +0 53 -1 53 -0 53 +3 N N + 0 53 +0x1620227B598EF9p-57 53 0 53 +0 53 +1 53 +0 53 +2 N N - 0 53 +0x1265D4E92B6B9Bp-59 53 0 53 -0 53 +1 53 +0 53 +3 N N + 0 53 +0x1724046EB0933Ap-48 53 0 53 +0 53 +1 53 -0 53 -2 N N - 0 53 +0x1BD4567B975381p-46 53 0 53 -0 53 +1 53 -0 53 -3 N N - 0 53 +0x1A9BCC46F767DFp-55 53 0 53 +0 53 -1 53 +0 53 -1 N N + 0 53 +0x1620227B598EF9p-57 53 0 53 -0 53 -1 53 +0 53 -2 N N # exact cases # (-1)^(1/2) = i 0 0 2 0 2 1 2 -1 2 0 2 0x1p-1 2 0 N N # (-4)^(1/4) = 1+i 0 0 2 1 2 1 2 -4 2 0 2 0x1p-2 2 0 N N # for an odd positive integer n, a positive integer m and an integer e: # (-4 m^4 16^e)^(n/4) = (1+i)^n m^n 2^(e n) # m=3 e=5 n=7 0 0 12 0x88Bp38 12 -0x88Bp38 7 -0x51p22 7 0 3 0x7p-2 3 0 N N # (-4 16^e)^(-n/4) = (1-i)^n 2^(- (e+1) n) # e=3 n=5 0 0 2 -0x1p-18 2 0x1p-18 2 -0x1p14 2 0 3 -0x5p-2 3 0 N N # e=2 n=5 0 0 2 -0x1p-13 2 0x1p-13 2 -0x1p10 2 0 3 -0x5p-2 3 0 N N # (+2 +0)^(-3 -0) -> (-1/8 -0) # x = 2 + epsilon*i, y = -3 - delta*i # log(x) = log(2) + epsilon/2*i + O(epsilon^2) # y*log(x) = [-3*log(2) + o(1)] + [-3*epsilon/2-delta*log(2)]*i 0 0 2 0x1p-3 2 -0 2 2 2 +0 2 -3 2 -0 N N # (-2 -0)^(3 +0) -> (-8 -0) # x = -2 - epsilon*i, y = 3 + delta*i # log(x) = log(2) - [Pi-epsilon/2]*i + O(epsilon^2) # y*log(x) ~ 3*log(2) + [-3*Pi+3*epsilon/2+delta*log(2)]*i 0 0 2 -8 2 -0 2 -2 2 -0 2 3 2 +0 N N # (-2 -0)^(-3 -0) -> (-1/8 +0) # x = -2 - epsilon*i, y = -3 - delta*i # log(x) = log(2) - [Pi-epsilon/2]*i + O(epsilon^2) # y*log(x) ~ -3*log(2) + [3*Pi-3*epsilon/2-delta*log(2)]*i 0 0 2 -0x1p-3 2 +0 2 -2 2 -0 2 -3 2 -0 N N 0 0 2 +0 2 -2 2 +0 2 0x1p-1 2 -1 2 -0 N N 0 0 2 +0 2 -2 2 +0 2 0x1p-1 65 -1 2 -0 N N + + 2 -0x3p-64 2 -2 2 +0 2 0x1p-1 65 -0x10000000000000001p-64 2 -0 N N 0 - 2 +0 3 -5 2 +0 53 0xCCCCCCCCCCCCDp-54 2 -1 2 -0 N N # undefined zero sign in result - 0 5 -25 2 0 2 +0 53 0xCCCCCCCCCCCCDp-54 2 -2 2 -0 N N - - 53 -0x85649E3220691p-63 53 -0x14A25D455A9D0Dp-60 3 5 2 3 2 -3 2 +0 N N + 0 53 0xABCC77118461Dp-74 2 +0 3 5 3 5 2 -8 2 +0 N N + 0 53 -0x127DB86014739Dp-93 2 -0 2 -1 2 -0 2 1 4 -9 N N + + 24 0xC1F98Dp-21 24 0x12FF89p-2 24 -7 24 +0 24 0xCFFFF3p-21 24 +0 N N # underflow case - - 24 +0 24 +0 24 2 24 0x44CCCDp-20 24 -0x7FFFF200 24 -0x7FFFF200 N N - 0 53 0x14D55AFA6E0BB0p210433620 53 0 53 +0 53 0x44CCCCFFFFFFFp-48 53 0x5F5E100 53 +0 N N - 0 53 0x14D55B174EE67Ep210433620 53 0 53 +0 53 0x44CCCDp-20 53 0x5F5E100 53 +0 N N 0 0 24 -10 24 198 24 5 24 3 24 3 24 +0 N N + - 113 0x1731C86FF8E8C7D80C8F1C83460B7p-38951 113 0x1CE5ECB8E88C769AF45FA662568CFp-38950 113 2 113 0x11333333333333333333333333333p-110 113 -10000 113 10000 N N - - 652 0x8E0380781E0124C92903E153123260CEF2C8821EDEC1D518A270FD55720DB5114D3D72CEE0E51CCEAA532FC6DA983707E66AE0E1A5E116D72AF5F2420D8402BE3E7FF03658E7ADFE2667C67291D74877383p-651 652 -0xB5FECD07C42E7AEE5A3489729B566DB4C6284C575E281585B0BFA711859D178BD8B07352B58BF615DD2DEC68798F0D2A644D5D18149D12BC53F851C5908F1EDE1C71F2B8D4934B1CE932AB94C0B8AE54C73p-665 163 0x5E9BDCC756D1E864413EA56F2A35C6D7D58DD117Bp-158 163 -0xE6BCC7A0E6EC5F2B1CBCF2707D829C2CB1A56FCFp-164 163 0x21A13BA8E157F23649FC27B031EAA12B826FB7E9Dp-166 163 0 N N 0 0 2 0 2 1 2 -1 2 0 2 0x1p-1 2 0 N N + + 2 -0x3p-65 2 1 2 -1 2 0 65 0x10000000000000001p-65 2 0 N N 0 0 2 1 2 +0 65 0x10000000000000001p-64 2 +0 2 +0 2 +0 N N 0 0 2 1 2 -0 65 0xFFFFFFFFFFFFFFFFp-64 2 +0 2 +0 2 +0 N N 0 + 2 +0 2 0.75 2 -0.5 2 0 2 0.5 2 0 N N 0 0 2 0 2 2 2 1 2 1 2 2 2 +0 N N # I^2 = -1 0 0 2 -1 2 +0 2 +0 2 1 2 2 2 +0 N N + 0 2 -1 2 +0 2 +0 65 0x10000000000000001p-64 2 2 2 +0 N N # overflow cases - - 2 -inf 2 -inf 2 3 2 1 28 744261116 2 +0 N N - + 2 -inf 2 +inf 2 3 2 -1 28 744261116 2 +0 N N + + 2 +inf 2 +inf 2 4 2 3 28 744261116 2 +0 N N + - 2 +inf 2 -inf 2 4 2 -3 28 744261116 2 +0 N N # underflow cases + - 2 -0 2 +0 2 3 2 1 28 -744261116 2 +0 N N + + 2 -0 2 -0 2 3 2 -1 28 -744261116 2 +0 N N - + 2 +0 2 -0 2 4 2 3 28 -744261116 2 +0 N N - - 2 +0 2 +0 2 4 2 -3 28 -744261116 2 +0 N N # exact powers with non-integer exponent 0 0 2 1 2 1 2 0 2 2 2 0.5 2 0 N N 0 0 2 -2 2 2 2 0 2 2 2 1.5 2 0 N N 0 0 2 1 2 64 12 -4095 2 128 2 0.5 2 0 N N 0 0 3 5 2 3 2 16 4 30 2 0.5 2 0 N N 0 0 7 97 7 99 6 -392 14 19206 2 0.5 2 0 N N 0 0 6 63 6 61 5 248 18 7686 2 0.5 2 0 N N 0 0 6 63 6 61 24 -59013092 17 3812256 2 0.25 2 0 N N 0 + 2 0 2 0x3p-6 2 -1 2 0 2 0.5 2 1 N N + + 2 6 2 1 41 -0x2ce019e6f1e 36 0x1878418ba20 2 0.0625 2 0 N N + + 4 11 2 1 111 -0x73558286726957f922819cbeffff 109 0x1c484a8b32dbf409e966a8c00000 2 0x1p-5 2 0 N N + + 5 21 2 1 282 -0x24ea91ddba938e750d999f1075444e15d6ca0fff6a19c8cbefe6260261fd57effffffff 278 0x390aa828a3d933391ab999b0b0aa71aafbfc7b127fe30c84d107634940ba8000000000 2 0x1p-6 2 0 N N @ 1.1.1.1.4.1 log @file pow.dat was added on branch yamt-pagecache on 2014-05-22 14:09:14 +0000 @ text @d1 469 @ 1.1.1.1.4.2 log @sync with head. for a reference, the tree before this commit was tagged as yamt-pagecache-tag8. this commit was splitted into small chunks to avoid a limitation of cvs. ("Protocol error: too many arguments") @ text @a0 469 # Data file for mpc_pow. # # Copyright (C) 2009, 2011, 2012 INRIA # # This file is part of GNU MPC. # # GNU MPC is free software; you can redistribute it and/or modify it under # the terms of the GNU Lesser General Public License as published by the # Free Software Foundation; either version 3 of the License, or (at your #o ption) any later version. # # GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for # more details. # # You should have received a copy of the GNU Lesser General Public License # along with this program. If not, see http://www.gnu.org/licenses/ . # # For explanations on the file format, see add.dat. 0 0 53 +1 53 0 53 nan 53 +0 53 +0 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +0 53 -1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +1 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +1 53 +1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 -1 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 +0 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 +1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 +inf 53 -1 N N 0 0 53 nan 53 nan 53 nan 53 +0 53 -inf 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 +0 53 -1 N N 0 0 53 inf 53 nan 53 +inf 53 +0 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +1 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +0 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +0 53 +inf 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +0 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +1 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 +1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 +1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 +inf 53 +1 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +1 53 -1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 +0 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 +1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +inf 53 -1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 +inf 53 -1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 +inf 53 -1 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +1 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +0 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +0 53 +inf 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +0 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +1 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 +1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 +1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 -inf 53 +1 53 -inf 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 +0 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +1 53 -1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 +0 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 +1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 -inf 53 -1 53 nan 53 -1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 +0 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 +1 N N 0 0 53 +inf 53 nan 53 -inf 53 -1 53 +inf 53 -1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 +0 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 +1 N N 0 0 53 0 53 0 53 -inf 53 -1 53 -inf 53 -1 N N 0 0 53 1 53 +0 53 +0 53 +0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 +0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 +0 53 +0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 -0 53 +0 N N 0 0 53 1 53 +0 53 +0 53 +0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 +0 53 +0 53 -0 53 -0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 +0 53 -0 53 -0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 +0 53 -0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 +0 53 -0 N N 0 0 53 1 53 +0 53 -0 53 -0 53 -0 53 -0 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 +0 53 +1 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 +0 53 -1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +1 53 +0 N N 0 0 53 0 53 0 53 +0 53 +0 53 +1 53 +1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +1 53 -1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 +0 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 +1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -1 53 -1 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 +0 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 +1 N N 0 0 53 nan 53 nan 53 +0 53 +0 53 nan 53 -1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 +0 N N 0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 +1 N N 0 0 53 0 53 0 53 +0 53 +0 53 +inf 53 -1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 +0 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 +1 N N 0 0 53 +inf 53 nan 53 +0 53 +0 53 -inf 53 -1 N N # zeros with determined sign, see algorithms.tex # x^0 = +1 +sign(Im(x))*sign(Re(y))*0i when |x|=1 0 0 53 +1 53 +0 53 +0 53 +1 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 +1 53 +0 53 +0 N D #round toward -oo 0 0 53 +1 53 +0 53 -0 53 +1 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -1 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -1 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 -1 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 -1 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 +1 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 +1 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -1 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -1 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 -1 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 -1 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 +1 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 +1 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -1 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -1 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 -1 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 -1 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 +1 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 +1 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -1 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -1 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 -1 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0 53 -1 53 -0 53 -0 N N # x^0 = +1 +sign(Im(y))*0i when |x| > 1 0 0 53 +1 53 +0 53 +inf 53 +2 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +inf 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +2 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +2 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 +2 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 +2 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -5 53 +inf 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -2 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -inf 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 -inf 53 +3 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +inf 53 -inf 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 -2 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 -5 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +5 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 -inf 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 -inf 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 -5 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +inf 53 -2 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -inf 53 -inf 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +inf 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +2 53 -5 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +5 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +0 53 -2 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -0 53 -2 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 -inf 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +inf 53 +inf 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 +5 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +2 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 +0 53 +2 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -0 53 +2 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -5 53 +2 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -5 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -inf 53 +inf 53 -0 53 -0 N N 0 0 53 +1 53 -0 53 -inf 53 +inf 53 -0 53 -0 N N # x^0 = +1 -sign(Im(y))*0i when 1 > |x| > 0 0 0 53 +1 53 -0 53 +0.5 53 -0.5 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 +0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -0.5 53 -0 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 -0.5 53 +0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 -0.5 53 +0 53 +0 N N 0 0 53 +1 53 +0 53 +0.5 53 +0.5 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 -0 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -0.5 53 +0 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 +0 53 +0.5 53 +0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 +0.5 53 +0 53 -0 N N 0 0 53 +1 53 -0 53 +0.5 53 +0.5 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 +0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0.5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -0.5 53 -0 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 +0 53 +0.5 53 -0 53 +0 N N 0 0 53 +1 53 -0 53 -0 53 +0.5 53 -0 53 +0 N N 0 0 53 +1 53 +0 53 +0.5 53 -0.5 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 +0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0.5 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -0.5 53 -0 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 +0 53 -0.5 53 -0 53 -0 N N 0 0 53 +1 53 +0 53 -0 53 -0.5 53 -0 53 -0 N N # determined sign of imaginary part in pure real powers 0 0 53 +9 53 +0 53 +3 53 +0 53 +2 53 +0 N N 0 0 53 +9 53 -0 53 +3 53 -0 53 +2 53 -0 N N 0 0 53 0.25 53 +0 53 +2 53 -0 53 -2 53 +0 N N 0 0 53 0.25 53 -0 53 +2 53 +0 53 -2 53 -0 N N 0 0 53 +1 53 +0 53 +1 53 +0 53 +4 53 +0 N N 0 0 53 +1 53 +0 53 +1 53 +0 53 +4 53 -0 N N 0 0 53 +1 53 -0 53 +1 53 -0 53 +4 53 +0 N N 0 0 53 +1 53 -0 53 +1 53 -0 53 +4 53 -0 N N 0 0 53 +1 53 +0 53 +1 53 -0 53 -4 53 +0 N N 0 0 53 +1 53 +0 53 +1 53 -0 53 -4 53 -0 N N 0 0 53 +1 53 -0 53 +1 53 +0 53 -4 53 +0 N N 0 0 53 +1 53 -0 53 +1 53 +0 53 -4 53 -0 N N 0 0 53 0.25 53 +0 53 +0.5 53 +0 53 +2 53 -0 N N 0 0 53 0.25 53 -0 53 +0.5 53 -0 53 +2 53 +0 N N 0 0 53 +4 53 +0 53 +0.5 53 -0 53 -2 53 -0 N N 0 0 53 +4 53 -0 53 +0.5 53 +0 53 -2 53 +0 N N # pure real power with nondetermined sign in imaginary part 0 0 53 1 53 0 53 +2 53 -1 53 +0 53 +0 N N 0 0 53 1 53 0 53 -2 53 -1 53 +0 53 +0 N N 0 0 53 1 53 0 53 -2 53 -0 53 +0 53 +0 N N 0 0 53 1 53 0 53 +0.5 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 +0 53 +0 53 +0 N N 0 0 53 1 53 0 53 +0 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0 53 +0.5 53 +0 53 +0 N N 0 0 53 1 53 0 53 -0 53 -4 53 +0 53 +0 N N 0 0 53 1 53 0 53 +0 53 -4 53 +0 53 +0 N N 0 0 53 1 53 0 53 -1 53 -0 53 +0 53 +0 N N 0 0 53 1 53 0 53 -1 53 +0 53 +0 53 +0 N N 0 0 53 1 53 0 53 +2 53 -1 53 -0 53 -0 N N 0 0 53 1 53 0 53 -2 53 -1 53 -0 53 -0 N N 0 0 53 1 53 0 53 -2 53 -0 53 -0 53 -0 N N 0 0 53 1 53 0 53 +0.5 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 +0 53 -0 53 -0 N N 0 0 53 1 53 0 53 +0 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0 53 +0.5 53 -0 53 -0 N N 0 0 53 1 53 0 53 -0 53 -4 53 -0 53 -0 N N 0 0 53 1 53 0 53 +0 53 -4 53 -0 53 -0 N N 0 0 53 1 53 0 53 -1 53 -0 53 -0 53 -0 N N 0 0 53 1 53 0 53 -1 53 +0 53 -0 53 -0 N N 0 0 53 1 53 0 53 +2 53 +1 53 -0 53 +0 N N 0 0 53 1 53 0 53 -2 53 +1 53 -0 53 +0 N N 0 0 53 1 53 0 53 -2 53 +0 53 -0 53 +0 N N 0 0 53 1 53 0 53 +0.5 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0.5 53 -0 53 -0 53 +0 N N 0 0 53 1 53 0 53 +0 53 +5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0 53 +5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -0 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 +0 53 -0.5 53 -0 53 +0 N N 0 0 53 1 53 0 53 -1 53 -0 53 -0 53 +0 N N 0 0 53 1 53 0 53 -1 53 +0 53 -0 53 +0 N N 0 0 53 1 53 0 53 +2 53 +1 53 +0 53 -0 N N 0 0 53 1 53 0 53 -2 53 +1 53 +0 53 -0 N N 0 0 53 1 53 0 53 -2 53 +0 53 +0 53 -0 N N 0 0 53 1 53 0 53 +0.5 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0.5 53 -0 53 +0 53 -0 N N 0 0 53 1 53 0 53 +0 53 +5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0 53 +5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -0 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 +0 53 -0.5 53 +0 53 -0 N N 0 0 53 1 53 0 53 -1 53 -0 53 +0 53 -0 N N 0 0 53 1 53 0 53 -1 53 +0 53 +0 53 -0 N N 0 0 53 4 53 0 53 +2 53 -0 53 +2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 +2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 +2 53 -0 N N 0 0 53 4 53 0 53 +2 53 +0 53 +2 53 -0 N N 0 0 53 1 53 0 53 +1 53 -0 53 +2 53 +0 N N 0 0 53 1 53 0 53 +1 53 -0 53 +2 53 -0 N N 0 0 53 +.25 53 0 53 +2 53 +0 53 -2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 -2 53 +0 N N 0 0 53 1 53 0 53 +1 53 +0 53 -2 53 -0 N N 0 0 53 +.25 53 0 53 +2 53 -0 53 -2 53 -0 N N 0 0 53 1 53 0 53 +1 53 -0 53 -2 53 +0 N N 0 0 53 1 53 0 53 +1 53 -0 53 -2 53 -0 N N # when (+/-1 +/-0i)^y is pure real 0 0 53 1 53 0 53 +1 53 -0 53 -2 53 +1 N N 0 0 53 1 53 0 53 +1 53 -0 53 -1 53 +2 N N 0 0 53 1 53 0 53 +1 53 -0 53 -0 53 +1 N N - 0 53 +0x10BBEEE9177E19p-43 53 0 53 -1 53 -0 53 -0 53 +2 N N + 0 53 +0x1E989F5D6DFF5Cp-62 53 0 53 -1 53 +0 53 +0 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 +0 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 +2 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 +0 53 +2 N N 0 0 53 1 53 0 53 +1 53 +0 53 -1 53 -1 N N 0 0 53 1 53 0 53 +1 53 +0 53 -0 53 -1 N N + 0 53 +0x1724046EB0933Ap-48 53 0 53 -1 53 +0 53 -0 53 -1 N N 0 0 53 1 53 0 53 +1 53 -0 53 +0 53 -1 N N + 0 53 +0x1620227B598EF9p-57 53 0 53 -1 53 -0 53 +0 53 -1 N N 0 0 53 1 53 0 53 +1 53 -0 53 +2 53 -3 N N + 0 53 +0x1D4102BC3F7D4Cp-71 53 0 53 -1 53 +0 53 +0 53 +4 N N + 0 53 +0x1724046EB0933Ap-48 53 0 53 -1 53 -0 53 -0 53 +1 N N # when (0 +/-i)^y is pure real + 0 53 +0x1724046EB0933Ap-48 53 0 53 -0 53 -1 53 -0 53 +2 N N - 0 53 +0x1BD4567B975381p-46 53 0 53 +0 53 -1 53 -0 53 +3 N N + 0 53 +0x1620227B598EF9p-57 53 0 53 +0 53 +1 53 +0 53 +2 N N - 0 53 +0x1265D4E92B6B9Bp-59 53 0 53 -0 53 +1 53 +0 53 +3 N N + 0 53 +0x1724046EB0933Ap-48 53 0 53 +0 53 +1 53 -0 53 -2 N N - 0 53 +0x1BD4567B975381p-46 53 0 53 -0 53 +1 53 -0 53 -3 N N - 0 53 +0x1A9BCC46F767DFp-55 53 0 53 +0 53 -1 53 +0 53 -1 N N + 0 53 +0x1620227B598EF9p-57 53 0 53 -0 53 -1 53 +0 53 -2 N N # exact cases # (-1)^(1/2) = i 0 0 2 0 2 1 2 -1 2 0 2 0x1p-1 2 0 N N # (-4)^(1/4) = 1+i 0 0 2 1 2 1 2 -4 2 0 2 0x1p-2 2 0 N N # for an odd positive integer n, a positive integer m and an integer e: # (-4 m^4 16^e)^(n/4) = (1+i)^n m^n 2^(e n) # m=3 e=5 n=7 0 0 12 0x88Bp38 12 -0x88Bp38 7 -0x51p22 7 0 3 0x7p-2 3 0 N N # (-4 16^e)^(-n/4) = (1-i)^n 2^(- (e+1) n) # e=3 n=5 0 0 2 -0x1p-18 2 0x1p-18 2 -0x1p14 2 0 3 -0x5p-2 3 0 N N # e=2 n=5 0 0 2 -0x1p-13 2 0x1p-13 2 -0x1p10 2 0 3 -0x5p-2 3 0 N N # (+2 +0)^(-3 -0) -> (-1/8 -0) # x = 2 + epsilon*i, y = -3 - delta*i # log(x) = log(2) + epsilon/2*i + O(epsilon^2) # y*log(x) = [-3*log(2) + o(1)] + [-3*epsilon/2-delta*log(2)]*i 0 0 2 0x1p-3 2 -0 2 2 2 +0 2 -3 2 -0 N N # (-2 -0)^(3 +0) -> (-8 -0) # x = -2 - epsilon*i, y = 3 + delta*i # log(x) = log(2) - [Pi-epsilon/2]*i + O(epsilon^2) # y*log(x) ~ 3*log(2) + [-3*Pi+3*epsilon/2+delta*log(2)]*i 0 0 2 -8 2 -0 2 -2 2 -0 2 3 2 +0 N N # (-2 -0)^(-3 -0) -> (-1/8 +0) # x = -2 - epsilon*i, y = -3 - delta*i # log(x) = log(2) - [Pi-epsilon/2]*i + O(epsilon^2) # y*log(x) ~ -3*log(2) + [3*Pi-3*epsilon/2-delta*log(2)]*i 0 0 2 -0x1p-3 2 +0 2 -2 2 -0 2 -3 2 -0 N N 0 0 2 +0 2 -2 2 +0 2 0x1p-1 2 -1 2 -0 N N 0 0 2 +0 2 -2 2 +0 2 0x1p-1 65 -1 2 -0 N N + + 2 -0x3p-64 2 -2 2 +0 2 0x1p-1 65 -0x10000000000000001p-64 2 -0 N N 0 - 2 +0 3 -5 2 +0 53 0xCCCCCCCCCCCCDp-54 2 -1 2 -0 N N # undefined zero sign in result - 0 5 -25 2 0 2 +0 53 0xCCCCCCCCCCCCDp-54 2 -2 2 -0 N N - - 53 -0x85649E3220691p-63 53 -0x14A25D455A9D0Dp-60 3 5 2 3 2 -3 2 +0 N N + 0 53 0xABCC77118461Dp-74 2 +0 3 5 3 5 2 -8 2 +0 N N + 0 53 -0x127DB86014739Dp-93 2 -0 2 -1 2 -0 2 1 4 -9 N N + + 24 0xC1F98Dp-21 24 0x12FF89p-2 24 -7 24 +0 24 0xCFFFF3p-21 24 +0 N N # underflow case - - 24 +0 24 +0 24 2 24 0x44CCCDp-20 24 -0x7FFFF200 24 -0x7FFFF200 N N - 0 53 0x14D55AFA6E0BB0p210433620 53 0 53 +0 53 0x44CCCCFFFFFFFp-48 53 0x5F5E100 53 +0 N N - 0 53 0x14D55B174EE67Ep210433620 53 0 53 +0 53 0x44CCCDp-20 53 0x5F5E100 53 +0 N N 0 0 24 -10 24 198 24 5 24 3 24 3 24 +0 N N + - 113 0x1731C86FF8E8C7D80C8F1C83460B7p-38951 113 0x1CE5ECB8E88C769AF45FA662568CFp-38950 113 2 113 0x11333333333333333333333333333p-110 113 -10000 113 10000 N N - - 652 0x8E0380781E0124C92903E153123260CEF2C8821EDEC1D518A270FD55720DB5114D3D72CEE0E51CCEAA532FC6DA983707E66AE0E1A5E116D72AF5F2420D8402BE3E7FF03658E7ADFE2667C67291D74877383p-651 652 -0xB5FECD07C42E7AEE5A3489729B566DB4C6284C575E281585B0BFA711859D178BD8B07352B58BF615DD2DEC68798F0D2A644D5D18149D12BC53F851C5908F1EDE1C71F2B8D4934B1CE932AB94C0B8AE54C73p-665 163 0x5E9BDCC756D1E864413EA56F2A35C6D7D58DD117Bp-158 163 -0xE6BCC7A0E6EC5F2B1CBCF2707D829C2CB1A56FCFp-164 163 0x21A13BA8E157F23649FC27B031EAA12B826FB7E9Dp-166 163 0 N N 0 0 2 0 2 1 2 -1 2 0 2 0x1p-1 2 0 N N + + 2 -0x3p-65 2 1 2 -1 2 0 65 0x10000000000000001p-65 2 0 N N 0 0 2 1 2 +0 65 0x10000000000000001p-64 2 +0 2 +0 2 +0 N N 0 0 2 1 2 -0 65 0xFFFFFFFFFFFFFFFFp-64 2 +0 2 +0 2 +0 N N 0 + 2 +0 2 0.75 2 -0.5 2 0 2 0.5 2 0 N N 0 0 2 0 2 2 2 1 2 1 2 2 2 +0 N N # I^2 = -1 0 0 2 -1 2 +0 2 +0 2 1 2 2 2 +0 N N + 0 2 -1 2 +0 2 +0 65 0x10000000000000001p-64 2 2 2 +0 N N # overflow cases - - 2 -inf 2 -inf 2 3 2 1 28 744261116 2 +0 N N - + 2 -inf 2 +inf 2 3 2 -1 28 744261116 2 +0 N N + + 2 +inf 2 +inf 2 4 2 3 28 744261116 2 +0 N N + - 2 +inf 2 -inf 2 4 2 -3 28 744261116 2 +0 N N # underflow cases + - 2 -0 2 +0 2 3 2 1 28 -744261116 2 +0 N N + + 2 -0 2 -0 2 3 2 -1 28 -744261116 2 +0 N N - + 2 +0 2 -0 2 4 2 3 28 -744261116 2 +0 N N - - 2 +0 2 +0 2 4 2 -3 28 -744261116 2 +0 N N # exact powers with non-integer exponent 0 0 2 1 2 1 2 0 2 2 2 0.5 2 0 N N 0 0 2 -2 2 2 2 0 2 2 2 1.5 2 0 N N 0 0 2 1 2 64 12 -4095 2 128 2 0.5 2 0 N N 0 0 3 5 2 3 2 16 4 30 2 0.5 2 0 N N 0 0 7 97 7 99 6 -392 14 19206 2 0.5 2 0 N N 0 0 6 63 6 61 5 248 18 7686 2 0.5 2 0 N N 0 0 6 63 6 61 24 -59013092 17 3812256 2 0.25 2 0 N N 0 + 2 0 2 0x3p-6 2 -1 2 0 2 0.5 2 1 N N + + 2 6 2 1 41 -0x2ce019e6f1e 36 0x1878418ba20 2 0.0625 2 0 N N + + 4 11 2 1 111 -0x73558286726957f922819cbeffff 109 0x1c484a8b32dbf409e966a8c00000 2 0x1p-5 2 0 N N + + 5 21 2 1 282 -0x24ea91ddba938e750d999f1075444e15d6ca0fff6a19c8cbefe6260261fd57effffffff 278 0x390aa828a3d933391ab999b0b0aa71aafbfc7b127fe30c84d107634940ba8000000000 2 0x1p-6 2 0 N N @