/* Copyright (C) 1988-1994 Sun Microsystems, Inc. 2550 Garcia Avenue */ /* Mountain View, California 94043 All rights reserved. */ /* */ /* Any person is hereby authorized to download, copy, use, create bug fixes, */ /* and distribute, subject to the following conditions: */ /* */ /* 1. the software may not be redistributed for a fee except as */ /* reasonable to cover media costs; */ /* 2. any copy of the software must include this notice, as well as */ /* any other embedded copyright notices; and */ /* 3. any distribution of this software or derivative works thereof */ /* must comply with all applicable U.S. export control laws. */ /* */ /* THE SOFTWARE IS MADE AVAILABLE "AS IS" AND WITHOUT EXPRESS OR IMPLIED */ /* WARRANTY OF ANY KIND, INCLUDING BUT NOT LIMITED TO THE IMPLIED */ /* WARRANTIES OF DESIGN, MERCHANTIBILITY, FITNESS FOR A PARTICULAR */ /* PURPOSE, NON-INFRINGEMENT, PERFORMANCE OR CONFORMANCE TO */ /* SPECIFICATIONS. */ /* */ /* BY DOWNLOADING AND/OR USING THIS SOFTWARE, THE USER WAIVES ALL CLAIMS */ /* AGAINST SUN MICROSYSTEMS, INC. AND ITS AFFILIATED COMPANIES IN ANY */ /* JURISDICTION, INCLUDING BUT NOT LIMITED TO CLAIMS FOR DAMAGES OR */ /* EQUITABLE RELIEF BASED ON LOSS OF DATA, AND SPECIFICALLY WAIVES EVEN */ /* UNKNOWN OR UNANTICIPATED CLAIMS OR LOSSES, PRESENT AND FUTURE. */ /* */ /* IN NO EVENT WILL SUN MICROSYSTEMS, INC. OR ANY OF ITS AFFILIATED */ /* COMPANIES BE LIABLE FOR ANY LOST REVENUE OR PROFITS OR OTHER SPECIAL, */ /* INDIRECT AND CONSEQUENTIAL DAMAGES, EVEN IF IT HAS BEEN ADVISED OF THE */ /* POSSIBILITY OF SUCH DAMAGES. */ /* */ /* This file is provided with no support and without any obligation on the */ /* part of Sun Microsystems, Inc. ("Sun") or any of its affiliated */ /* companies to assist in its use, correction, modification or */ /* enhancement. Nevertheless, and without creating any obligation on its */ /* part, Sun welcomes your comments concerning the software and requests */ /* that they be sent to fdlibm-comments@sunpro.sun.com. */ /* sqrt(+-0) is +-0 */ sqrts n eq - 00000000 00000000 sqrts n eq - 80000000 80000000 sqrts z eq - 00000000 00000000 sqrts z eq - 80000000 80000000 sqrts p eq - 00000000 00000000 sqrts p eq - 80000000 80000000 sqrts m eq - 00000000 00000000 sqrts m eq - 80000000 80000000 /* sqrt(+max) is finite */ sqrts n eq x 7f7fffff 5f7fffff sqrts z eq x 7f7fffff 5f7fffff sqrts p eq x 7f7fffff 5f800000 sqrts m eq x 7f7fffff 5f7fffff /* sqrt(16736281) = 4091 */ sqrts n eq - 4b7f6019 457fb000 sqrts z eq - 4b7f6019 457fb000 sqrts p eq - 4b7f6019 457fb000 sqrts m eq - 4b7f6019 457fb000 /* sqrt(16088121) = 4011 */ sqrts n eq - 4b757c39 457ab000 sqrts z eq - 4b757c39 457ab000 sqrts p eq - 4b757c39 457ab000 sqrts m eq - 4b757c39 457ab000 /* sqrt(4)=2 */ sqrts n eq - 40800000 40000000 sqrts z eq - 40800000 40000000 sqrts p eq - 40800000 40000000 sqrts m eq - 40800000 40000000 /* sqrt(x) for x=1,1+ulp,1-ulp */ sqrts n eq x 3f800001 3f800000 sqrts n eq - 3f800000 3f800000 sqrts n eq x 3f7fffff 3f7fffff sqrts z eq x 3f800001 3f800000 sqrts z eq - 3f800000 3f800000 sqrts z eq x 3f7fffff 3f7fffff sqrts p eq x 3f800001 3f800001 sqrts p eq - 3f800000 3f800000 sqrts p eq x 3f7fffff 3f800000 sqrts m eq x 3f800001 3f800000 sqrts m eq - 3f800000 3f800000 sqrts m eq x 3f7fffff 3f7fffff /* sqrt(+min) is non-zero */ sqrts n eq - 00800000 20000000 sqrts z eq - 00800000 20000000 sqrts p eq - 00800000 20000000 sqrts m eq - 00800000 20000000 /* random arguments between 0 8 */ sqrts n eq x 403b35ee 3fdaeb80 sqrts n eq x 40db2a38 40277d9a sqrts n eq x 40f0b298 402f8699 sqrts n eq x 3faa0ee8 3f9389b9 sqrts n eq x 403aa61f 3fda975a sqrts n eq x 4075f0f1 3ffaeb92 sqrts n eq x 40ca06c7 4020cefd sqrts n eq x 40ed738a 402e568d sqrts n eq x 4054f969 3fe97f8a sqrts n eq x 3e2bee9a 3ed1cbec /* sqrt(min subnormal) is non-zero */ sqrts n eq x 00000001 1a3504f3 sqrts z eq x 00000001 1a3504f3 sqrts p eq x 00000001 1a3504f4 sqrts m eq x 00000001 1a3504f3 /* sqrt(inf) is inf */ sqrts n eq - 7f800000 7f800000 sqrts z eq - 7f800000 7f800000 sqrts p eq - 7f800000 7f800000 sqrts m eq - 7f800000 7f800000 /* sqrt(nan) is nan */ sqrts n uo v 7f800001 00000000 sqrts n uo - 7fc00000 00000000 sqrts z uo v 7f800001 00000000 sqrts z uo - 7fc00000 00000000 sqrts p uo v 7f800001 00000000 sqrts p uo - 7fc00000 00000000 sqrts m uo v 7f800001 00000000 sqrts m uo - 7fc00000 00000000 /* sqrt(-ve) is nan */ sqrts n uo v 80000001 00000000 sqrts n uo v bf800000 00000000 sqrts n uo v ff800000 00000000 sqrts z uo v 80000001 00000000 sqrts z uo v bf800000 00000000 sqrts z uo v ff800000 00000000 sqrts p uo v 80000001 00000000 sqrts p uo v bf800000 00000000 sqrts p uo v ff800000 00000000 sqrts m uo v 80000001 00000000 sqrts m uo v bf800000 00000000 sqrts m uo v ff800000 00000000 sqrts m eq - 00000002 1a800000 sqrts m eq - 00000008 1b000000 sqrts m eq - 00200000 1f800000 sqrts m eq - 01800000 20800000 sqrts m eq - 38100000 3bc00000 sqrts m eq - 3b800000 3d800000 sqrts m eq - 3d100000 3e400000 sqrts m eq - 3d800000 3e800000 sqrts m eq - 41100000 40400000 sqrts m eq - 43800000 41800000 sqrts m eq - 45100000 42400000 sqrts m eq - 46cf9200 43230000 sqrts m eq - 46d9e200 43270000 sqrts m eq - 46e9d200 432d0000 sqrts m eq - 46fa5200 43330000 sqrts m eq - 46fff200 43350000 sqrts m eq - 4a100000 44c00000 sqrts m eq - 7d800000 5e800000 sqrts m eq - 7e800000 5f000000 sqrts m eq x 007fffff 1ffffffe sqrts m eq x 00800002 20000000 sqrts m eq x 3f7ffff7 3f7ffffb sqrts m eq x 3f7ffff8 3f7ffffb sqrts m eq x 3f7ffff9 3f7ffffc sqrts m eq x 3f7ffffa 3f7ffffc sqrts m eq x 3f7ffffb 3f7ffffd sqrts m eq x 3f7ffffc 3f7ffffd sqrts m eq x 3f7ffffd 3f7ffffe sqrts m eq x 3f7ffffe 3f7ffffe sqrts m eq x 3f800002 3f800000 sqrts m eq x 3f800003 3f800001 sqrts m eq x 3f800004 3f800001 sqrts m eq x 3f800005 3f800002 sqrts m eq x 3f800006 3f800002 sqrts m eq x 3f800007 3f800003 sqrts m eq x 7e7ffffe 5efffffe sqrts m eq x 7e800002 5f000000 sqrts m uo - 7fc00000 00000000 sqrts m uo - 7fff0000 7fff0000 sqrts m uo - ffff0000 ffff0000 sqrts m uo v 7f800001 00000000 sqrts m uo v 7f810000 7fff0000 sqrts m uo v 80000001 00000000 sqrts m uo v 80000002 7fff0000 sqrts m uo v 80000005 7fff0000 sqrts m uo v 80000007 7fff0000 sqrts m uo v 80000009 7fff0000 sqrts m uo v 807ffff7 7fff0000 sqrts m uo v 807ffff9 7fff0000 sqrts m uo v 807ffffc 7fff0000 sqrts m uo v 807ffffd 7fff0000 sqrts m uo v 807ffffe 7fff0000 sqrts m uo v 807fffff 7fff0000 sqrts m uo v 80fffffd 7fff0000 sqrts m uo v 81000000 7fff0000 sqrts m uo v 81000001 7fff0000 sqrts m uo v b4000000 7fff0000 sqrts m uo v b4800000 7fff0000 sqrts m uo v b4c00000 7fff0000 sqrts m uo v bf800000 00000000 sqrts m uo v c0000002 7fff0000 sqrts m uo v c0400004 7fff0000 sqrts m uo v c07ffffb 7fff0000 sqrts m uo v fe7ffffc 7fff0000 sqrts m uo v fe800002 7fff0000 sqrts m uo v feffffff 7fff0000 sqrts m uo v ff000002 7fff0000 sqrts m uo v ff800000 00000000 sqrts m uo v ff810000 ffff0000 sqrts n eq - 00000002 1a800000 sqrts n eq - 00000008 1b000000 sqrts n eq - 00200000 1f800000 sqrts n eq - 01800000 20800000 sqrts n eq - 38100000 3bc00000 sqrts n eq - 3b800000 3d800000 sqrts n eq - 3d100000 3e400000 sqrts n eq - 3d800000 3e800000 sqrts n eq - 41100000 40400000 sqrts n eq - 43800000 41800000 sqrts n eq - 45100000 42400000 sqrts n eq - 46cf9200 43230000 sqrts n eq - 46d9e200 43270000 sqrts n eq - 46e9d200 432d0000 sqrts n eq - 46fa5200 43330000 sqrts n eq - 46fff200 43350000 sqrts n eq - 4a100000 44c00000 sqrts n eq - 7d800000 5e800000 sqrts n eq - 7e800000 5f000000 sqrts n eq x 007fffff 1fffffff sqrts n eq x 00800002 20000001 sqrts n eq x 3f7ffff7 3f7ffffb sqrts n eq x 3f7ffff8 3f7ffffc sqrts n eq x 3f7ffff9 3f7ffffc sqrts n eq x 3f7ffffa 3f7ffffd sqrts n eq x 3f7ffffb 3f7ffffd sqrts n eq x 3f7ffffc 3f7ffffe sqrts n eq x 3f7ffffd 3f7ffffe sqrts n eq x 3f7ffffe 3f7fffff sqrts n eq x 3f800002 3f800001 sqrts n eq x 3f800003 3f800001 sqrts n eq x 3f800004 3f800002 sqrts n eq x 3f800005 3f800002 sqrts n eq x 3f800006 3f800003 sqrts n eq x 3f800007 3f800003 sqrts n eq x 7e7ffffe 5effffff sqrts n eq x 7e800002 5f000001 sqrts n uo - 7fc00000 00000000 sqrts n uo - 7fff0000 7fff0000 sqrts n uo - ffff0000 ffff0000 sqrts n uo v 7f800001 00000000 sqrts n uo v 7f810000 7fff0000 sqrts n uo v 80000001 00000000 sqrts n uo v 80000002 7fff0000 sqrts n uo v 80000005 7fff0000 sqrts n uo v 80000007 7fff0000 sqrts n uo v 80000009 7fff0000 sqrts n uo v 807ffff7 7fff0000 sqrts n uo v 807ffff9 7fff0000 sqrts n uo v 807ffffc 7fff0000 sqrts n uo v 807ffffd 7fff0000 sqrts n uo v 807ffffe 7fff0000 sqrts n uo v 807fffff 7fff0000 sqrts n uo v 80fffffd 7fff0000 sqrts n uo v 81000000 7fff0000 sqrts n uo v 81000001 7fff0000 sqrts n uo v b4000000 7fff0000 sqrts n uo v b4800000 7fff0000 sqrts n uo v b4c00000 7fff0000 sqrts n uo v bf800000 00000000 sqrts n uo v c0000002 7fff0000 sqrts n uo v c0400004 7fff0000 sqrts n uo v c07ffffb 7fff0000 sqrts n uo v fe7ffffc 7fff0000 sqrts n uo v fe800002 7fff0000 sqrts n uo v feffffff 7fff0000 sqrts n uo v ff000002 7fff0000 sqrts n uo v ff800000 00000000 sqrts n uo v ff810000 ffff0000 sqrts p eq - 00000002 1a800000 sqrts p eq - 00000008 1b000000 sqrts p eq - 00200000 1f800000 sqrts p eq - 01800000 20800000 sqrts p eq - 38100000 3bc00000 sqrts p eq - 3b800000 3d800000 sqrts p eq - 3d100000 3e400000 sqrts p eq - 3d800000 3e800000 sqrts p eq - 41100000 40400000 sqrts p eq - 43800000 41800000 sqrts p eq - 45100000 42400000 sqrts p eq - 46cf9200 43230000 sqrts p eq - 46d9e200 43270000 sqrts p eq - 46e9d200 432d0000 sqrts p eq - 46fa5200 43330000 sqrts p eq - 46fff200 43350000 sqrts p eq - 4a100000 44c00000 sqrts p eq - 7d800000 5e800000 sqrts p eq - 7e800000 5f000000 sqrts p eq x 007fffff 1fffffff sqrts p eq x 00800002 20000001 sqrts p eq x 3f7ffff7 3f7ffffc sqrts p eq x 3f7ffff8 3f7ffffc sqrts p eq x 3f7ffff9 3f7ffffd sqrts p eq x 3f7ffffa 3f7ffffd sqrts p eq x 3f7ffffb 3f7ffffe sqrts p eq x 3f7ffffc 3f7ffffe sqrts p eq x 3f7ffffd 3f7fffff sqrts p eq x 3f7ffffe 3f7fffff sqrts p eq x 3f800002 3f800001 sqrts p eq x 3f800003 3f800002 sqrts p eq x 3f800004 3f800002 sqrts p eq x 3f800005 3f800003 sqrts p eq x 3f800006 3f800003 sqrts p eq x 3f800007 3f800004 sqrts p eq x 7e7ffffe 5effffff sqrts p eq x 7e800002 5f000001 sqrts p uo - 7fc00000 00000000 sqrts p uo - 7fff0000 7fff0000 sqrts p uo - ffff0000 ffff0000 sqrts p uo v 7f800001 00000000 sqrts p uo v 7f810000 7fff0000 sqrts p uo v 80000001 00000000 sqrts p uo v 80000002 7fff0000 sqrts p uo v 80000005 7fff0000 sqrts p uo v 80000007 7fff0000 sqrts p uo v 80000009 7fff0000 sqrts p uo v 807ffff7 7fff0000 sqrts p uo v 807ffff9 7fff0000 sqrts p uo v 807ffffc 7fff0000 sqrts p uo v 807ffffd 7fff0000 sqrts p uo v 807ffffe 7fff0000 sqrts p uo v 807fffff 7fff0000 sqrts p uo v 80fffffd 7fff0000 sqrts p uo v 81000000 7fff0000 sqrts p uo v 81000001 7fff0000 sqrts p uo v b4000000 7fff0000 sqrts p uo v b4800000 7fff0000 sqrts p uo v b4c00000 7fff0000 sqrts p uo v bf800000 00000000 sqrts p uo v c0000002 7fff0000 sqrts p uo v c0400004 7fff0000 sqrts p uo v c07ffffb 7fff0000 sqrts p uo v fe7ffffc 7fff0000 sqrts p uo v fe800002 7fff0000 sqrts p uo v feffffff 7fff0000 sqrts p uo v ff000002 7fff0000 sqrts p uo v ff800000 00000000 sqrts p uo v ff810000 ffff0000 sqrts z eq - 00000002 1a800000 sqrts z eq - 00000008 1b000000 sqrts z eq - 00200000 1f800000 sqrts z eq - 01800000 20800000 sqrts z eq - 38100000 3bc00000 sqrts z eq - 3b800000 3d800000 sqrts z eq - 3d100000 3e400000 sqrts z eq - 3d800000 3e800000 sqrts z eq - 41100000 40400000 sqrts z eq - 43800000 41800000 sqrts z eq - 45100000 42400000 sqrts z eq - 46cf9200 43230000 sqrts z eq - 46d9e200 43270000 sqrts z eq - 46e9d200 432d0000 sqrts z eq - 46fa5200 43330000 sqrts z eq - 46fff200 43350000 sqrts z eq - 4a100000 44c00000 sqrts z eq - 7d800000 5e800000 sqrts z eq - 7e800000 5f000000 sqrts z eq x 007fffff 1ffffffe sqrts z eq x 00800002 20000000 sqrts z eq x 3f7ffff7 3f7ffffb sqrts z eq x 3f7ffff8 3f7ffffb sqrts z eq x 3f7ffff9 3f7ffffc sqrts z eq x 3f7ffffa 3f7ffffc sqrts z eq x 3f7ffffb 3f7ffffd sqrts z eq x 3f7ffffc 3f7ffffd sqrts z eq x 3f7ffffd 3f7ffffe sqrts z eq x 3f7ffffe 3f7ffffe sqrts z eq x 3f800002 3f800000 sqrts z eq x 3f800003 3f800001 sqrts z eq x 3f800004 3f800001 sqrts z eq x 3f800005 3f800002 sqrts z eq x 3f800006 3f800002 sqrts z eq x 3f800007 3f800003 sqrts z eq x 7e7ffffe 5efffffe sqrts z eq x 7e800002 5f000000 sqrts z uo - 7fc00000 00000000 sqrts z uo - 7fff0000 7fff0000 sqrts z uo - ffff0000 ffff0000 sqrts z uo v 7f800001 00000000 sqrts z uo v 7f810000 7fff0000 sqrts z uo v 80000001 00000000 sqrts z uo v 80000002 7fff0000 sqrts z uo v 80000005 7fff0000 sqrts z uo v 80000007 7fff0000 sqrts z uo v 80000009 7fff0000 sqrts z uo v 807ffff7 7fff0000 sqrts z uo v 807ffff9 7fff0000 sqrts z uo v 807ffffc 7fff0000 sqrts z uo v 807ffffd 7fff0000 sqrts z uo v 807ffffe 7fff0000 sqrts z uo v 807fffff 7fff0000 sqrts z uo v 80fffffd 7fff0000 sqrts z uo v 81000000 7fff0000 sqrts z uo v 81000001 7fff0000 sqrts z uo v b4000000 7fff0000 sqrts z uo v b4800000 7fff0000 sqrts z uo v b4c00000 7fff0000 sqrts z uo v bf800000 00000000 sqrts z uo v c0000002 7fff0000 sqrts z uo v c0400004 7fff0000 sqrts z uo v c07ffffb 7fff0000 sqrts z uo v fe7ffffc 7fff0000 sqrts z uo v fe800002 7fff0000 sqrts z uo v feffffff 7fff0000 sqrts z uo v ff000002 7fff0000 sqrts z uo v ff800000 00000000 sqrts z uo v ff810000 ffff0000