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We stopped adding "Contributed by" or similar lines in sources in 2012 in favour of git logs and keeping the Contributors section of the glibc manual up to date. Removing these lines makes the license header a bit more consistent across files and also removes the possibility of error in attribution when license blocks or files are copied across since the contributed-by lines don't actually reflect reality in those cases. Move all "Contributed by" and similar lines (Written by, Test by, etc.) into a new file CONTRIBUTED-BY to retain record of these contributions. These contributors are also mentioned in manual/contrib.texi, so we just maintain this additional record as a courtesy to the earlier developers. The following scripts were used to filter a list of files to edit in place and to clean up the CONTRIBUTED-BY file respectively. These were not added to the glibc sources because they're not expected to be of any use in future given that this is a one time task: https://gist.github.com/siddhesh/b5ecac94eabfd72ed2916d6d8157e7dc https://gist.github.com/siddhesh/15ea1f5e435ace9774f485030695ee02 Reviewed-by: Carlos O'Donell <carlos@redhat.com>
985 lines
41 KiB
ArmAsm
985 lines
41 KiB
ArmAsm
.file "cbrtl.s"
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// Copyright (c) 2000 - 2004, Intel Corporation
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// All rights reserved.
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//
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//
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// Redistribution and use in source and binary forms, with or without
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// modification, are permitted provided that the following conditions are
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// met:
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//
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// * Redistributions of source code must retain the above copyright
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// notice, this list of conditions and the following disclaimer.
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//
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// * Redistributions in binary form must reproduce the above copyright
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// notice, this list of conditions and the following disclaimer in the
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// documentation and/or other materials provided with the distribution.
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//
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// * The name of Intel Corporation may not be used to endorse or promote
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// products derived from this software without specific prior written
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// permission.
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
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// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
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// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
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// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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//
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// Intel Corporation is the author of this code, and requests that all
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// problem reports or change requests be submitted to it directly at
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// http://www.intel.com/software/products/opensource/libraries/num.htm.
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//
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// History
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//==============================================================
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// 04/28/00 Initial version
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// 05/20/02 Cleaned up namespace and sf0 syntax
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// 02/06/03 Reordered header:.section,.global,.proc,.align
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// 11/23/04 Reformatted routine and improved speed
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//
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// API
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//==============================================================
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// long double cbrtl(long double)
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//
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// Overview of operation
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//==============================================================
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// Background
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//
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// Implementation
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//
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// The result is computed as
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// cbrt(x)= cbrt(1 - (1 - x*y)) * (1/cbrt(y))
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// where y = frcpa(x) = (-1)^sgn_y * 2^(3*k+j) * m_y,
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// m_y in [1,2), j in {0,1,2}
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//
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// cbrt(1 - (1 - x*y)) is approximated by a degree-6 polynomial
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// in r= 1 - x*y :
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// P = 1 - c_1 r - c_2 * r^2 - c_3 * r^3 - c_4 * r^4 - c_5 * r^5 - c_6 * r^6
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//
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//
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// The values (1/cbrt(y)) are stored as two tables of constants T_hi
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// (double-extended precision) and D (single precision) as follows:
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// T_hi (1 + D)= 1/cbrt(y) to about 80 bits of accuracy
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//
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// The tables are only stored for three exponent values (i.e.
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// only for 2^j * m_y, where j in {0,1,2} and m_y covers the 256
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// possible mantissas for an frcpa result); the index is formed
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// by the 8 leading mantissa bits of x, which is the same index used
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// by the hardware to get frcpa(x).
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//
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// The table values are multiplied by 2^k where e is the exponent of
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// the input number. This multiplication is carried out in parallel with
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// the polynomial evaluation:
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// T= 2^(k) * T_hi
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//
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//=======================================================================
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//===============
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// Special values
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//==============================================================
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// Registers used
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//==============================================================
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// p6, p7, p12
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FR_R = f6
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FR_C1 = f7
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FR_C2 = f9
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FR_C3 = f10
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FR_C4 = f11
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FR_C5 = f12
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FR_C6 = f13
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FR_XNORM = f14
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FR_D = f15
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FR_SPECIAL = f32
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FR_RCP = f33
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FR_R2 = f34
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FR_P1 = f35
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FR_P2 = f36
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FR_P3 = f37
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FR_P4 = f38
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FR_P5 = f39
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FR_R3 = f40
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FR_T = f41
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FR_TF = f42
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FR_P = f43
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FR_SGNEXP = f44
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GR_ADDR = r2
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GR_C_START = r2
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GR_ARGSIG = r3
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GR_NORMSIG = r15
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GR_D_ADDR = r16
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GR_D_START = r16
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GR_INDEX2 = r17
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GR_IX2 = r17
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GR_NORMEXP = r18
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GR_EXP5 = r19
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GR_EXP3 = r20
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GR_EXP6 = r20
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GR_EXP17 = r21
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GR_TMP1 = r21
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GR_SGNMASK = r22
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GR_T_INDEX = r23
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GR_IX_T = r23
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GR_IX_D = r24
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GR_D_INDEX = r24
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GR_TMP2 = r25
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GR_TMP3 = r25
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GR_TMP4 = r25
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GR_EXP_RES = r26
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GR_BIAS23 = r27
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GR_EXPBIAS = r27
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GR_EXP_MOD_3 = r28
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GR_SIGN = r29
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GR_EXPSIGNRES = r29
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GR_REMTMP = r30
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GR_NORMEXPSGN = r31
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// Data tables
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//==============================================================
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RODATA
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.align 16
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LOCAL_OBJECT_START(poly_coeffs)
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data8 0xaaaaaaaaaaaaaab1, 0x00003ffd // C_1
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data8 0xe38e38e38e38e3e0, 0x00003ffb // C_2
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data8 0x3faf9add3c0be9a6, 0x3fa511e8d2b1f749 // C_3, C_4
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data8 0x3f9ee71b2c6ebe99, 0x3f9809180fd0340c // C_5, C_6
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LOCAL_OBJECT_END(poly_coeffs)
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LOCAL_OBJECT_START(T_table)
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|
data8 0xaa1c52d17906bb19, 0xaa4e59b046dab887
|
|
data8 0xaa809b9c60d1890b, 0xaab319102f3f9b33
|
|
data8 0xaadd5a18c1e21274, 0xab1045f2ac31bdf5
|
|
data8 0xab3ae3ab2df7231e, 0xab6e3f945d1e96fc
|
|
data8 0xaba1d953a08fa94e, 0xabcd090db7ef4c3f
|
|
data8 0xabf864602d7c323d, 0xac2ca5886ccf9b57
|
|
data8 0xac5861d4aa441f0f, 0xac8d183fe3a2fbed
|
|
data8 0xacb93703ff51571e, 0xace5830ad0c3f14b
|
|
data8 0xad11fca5d78b3ff2, 0xad4797fddf91a798
|
|
data8 0xad747701e559ebcb, 0xada184a47e9c7613
|
|
data8 0xadcec13ab0dda8ff, 0xadfc2d1a5fd21ba8
|
|
data8 0xae29c89a5053c33a, 0xae5794122b638df9
|
|
data8 0xae858fda8137ae0a, 0xaeb3bc4ccc56d3d1
|
|
data8 0xaee219c374c09920, 0xaf10a899d3235fe7
|
|
data8 0xaf3f692c341fe8b4, 0xaf6e5bd7db9ae6c2
|
|
data8 0xaf9d80fb081cd91b, 0xafc35ce063eb3787
|
|
data8 0xaff2ddcb5f28f03d, 0xb022923b148e05c5
|
|
data8 0xb0527a919adbf58b, 0xb078f3ab1d701c65
|
|
data8 0xb0a93a6870649f31, 0xb0d9b624d62ec856
|
|
data8 0xb100a5f53fb3c8e1, 0xb131821882f5540a
|
|
data8 0xb158bf8e4cb04055, 0xb189fd69d56b238f
|
|
data8 0xb1b189958e8108e4, 0xb1e32a8165b09832
|
|
data8 0xb20b0678fc271eec, 0xb23d0bd3f7592b6e
|
|
data8 0xb26538b2db8420dc, 0xb28d89e339ceca14
|
|
data8 0xb2c022ca12e55a16, 0xb2e8c6852c6b03f1
|
|
data8 0xb3118f4eda9fe40f, 0xb33a7d6268109ebe
|
|
data8 0xb36ddbc5ea70ec55, 0xb3971e9b39264023
|
|
data8 0xb3c0877ecc18e24a, 0xb3ea16ae3a6c905f
|
|
data8 0xb413cc67aa0e4d2d, 0xb43da8e9d163e1af
|
|
data8 0xb47233773b84d425, 0xb49c6825430fe730
|
|
data8 0xb4c6c46bcdb27dcf, 0xb4f1488c0b35d26f
|
|
data8 0xb51bf4c7c51f0168, 0xb546c9616087ab9c
|
|
data8 0xb571c69bdffd9a70, 0xb59cecbae56984c3
|
|
data8 0xb5bd64512bb14bb7, 0xb5e8d2a4bf5ba416
|
|
data8 0xb6146a9a1bc47819, 0xb6402c7749d621c0
|
|
data8 0xb66c1882fb435ea2, 0xb6982f048c999a56
|
|
data8 0xb6c47044075b4142, 0xb6e5bd6bfd02bafd
|
|
data8 0xb7124a2736ff8ef2, 0xb73f026a01e94177
|
|
data8 0xb760a959f1d0a7a7, 0xb78dae7e06868ab0
|
|
data8 0xb7badff8ad9e4e02, 0xb7dce25b8e17ae9f
|
|
data8 0xb80a6226904045e2, 0xb8380f1cafd73c1c
|
|
data8 0xb85a6ea8e321b4d8, 0xb8886b684ae7d2fa
|
|
data8 0xb8ab0726fa00cf5d, 0xb8d954a4d13b7cb1
|
|
data8 0xb8fc2d4f6cd9f04a, 0xb92acc851476b1ab
|
|
data8 0xb94de2d841a184c2, 0xb97cd4c36c92693c
|
|
data8 0xb9a0297f172665e3, 0xb9cf6f21e36c3924
|
|
data8 0xb9f3030951267208, 0xba229d6a618e7c59
|
|
data8 0xba467144459f9855, 0xba6a60c3c48f1a4b
|
|
data8 0xba9a76056b67ee7a, 0xbabea699563ada6e
|
|
data8 0xbae2f350b262cc4b, 0xbb1385a23be24e57
|
|
data8 0xbb3814975e17c680, 0xbb5cc031009bf467
|
|
data8 0xbb81889680024764, 0xbbb2c0d8703ae95d
|
|
data8 0xbbd7cd09ba3c5463, 0xbbfcf68c4977718f
|
|
data8 0xbc223d88cfc88eee, 0xbc47a2284fee4ff8
|
|
data8 0xbc79ac0916ed7b8a, 0xbc9f5670d1a13030
|
|
data8 0xbcc51f068cb95c1d, 0xbceb05f4b30a9bc0
|
|
data8 0xbd110b6604c7d306, 0xbd372f8598620f19
|
|
data8 0xbd5d727edb6b3c7e, 0xbd83d47d937bbc6d
|
|
data8 0xbdaa55addf1ae47d, 0xbdd0f63c36aa73f0
|
|
data8 0xbdf7b6556d550a15, 0xbe1e9626b1ffa96b
|
|
data8 0xbe4595dd903e5371, 0xbe6cb5a7f14bc935
|
|
data8 0xbe93f5b41d047cf7, 0xbebb5630bae4c15f
|
|
data8 0xbee2d74cd30a430c, 0xbf0a7937cf38d981
|
|
data8 0xbf323c217be2bc8c, 0xbf5a203a09342bbb
|
|
data8 0xbf74cad1c14ebfc4, 0xbf9ce6a497a89f78
|
|
data8 0xbfc52428bec6e72f, 0xbfed838fddab024b
|
|
data8 0xc016050c0420981a, 0xc03ea8cfabddc330
|
|
data8 0xc059d3cbd65ddbce, 0xc082b122a3c78c9d
|
|
data8 0xc0abb1499ae736c4, 0xc0d4d474c3aedaaf
|
|
data8 0xc0f054ca33eb3437, 0xc119b2c67e600ed0
|
|
data8 0xc1433453de2033ff, 0xc15ef3e44e10032d
|
|
data8 0xc188b130431d80e6, 0xc1b2929d6067730e
|
|
data8 0xc1ce9268f31cc734, 0xc1f8b0877c1b0c08
|
|
data8 0xc222f35a87b415ba, 0xc23f3467349e5c88
|
|
data8 0xc269b4e40e088c01, 0xc2945aac24daaf6e
|
|
data8 0xc2b0de05e43c1d66, 0xc2dbc275e1229d09
|
|
data8 0xc2f86fca9d80eeff, 0xc323938449a2587e
|
|
data8 0xc3406b40a538ed20, 0xc36bcee8211d15e0
|
|
data8 0xc397593adf2ba366, 0xc3b475b6206155d5
|
|
data8 0xc3e0410243b97383, 0xc3fd890709833d37
|
|
data8 0xc41ae295f7e7fa06, 0xc44709f7bb8a4dd2
|
|
data8 0xc4648fb0e0bec4c1, 0xc490f9a94695ba14
|
|
data8 0xc4aeac0173b7d390, 0xc4db5941007aa853
|
|
data8 0xc4f938aec206291a, 0xc52629e899dfd622
|
|
data8 0xc54436e44043b965, 0xc562563abf9ea07f
|
|
data8 0xc58fa7d1dc42921c, 0xc5adf561b91e110a
|
|
data8 0xc5cc5591bdbd82fa, 0xc5fa08f1ff20593c
|
|
data8 0xc618980a79ce6862, 0xc6373a09e34b50fa
|
|
data8 0xc66550a6e0baaf35, 0xc6842241926342c9
|
|
data8 0xc6a3070b7c93bb9e, 0xc6d18260bb84081b
|
|
data8 0xc6f0977c9416828b, 0xc70fc0117c641630
|
|
data8 0xc72efc34d7e615be, 0xc75dfb441594141e
|
|
data8 0xc77d68aa019bda4c, 0xc79ce9ea478dbc4f
|
|
data8 0xc7bc7f1ae453219d, 0xc7ec0476e15e141a
|
|
data8 0xc80bcbe16f1d540f, 0xc82ba78a5d349735
|
|
data8 0xc84b978847a06b87, 0xc86b9bf1ee817bc6
|
|
data8 0xc88bb4de3667cdf4, 0xc8bc00e7fe9e23a3
|
|
data8 0xc8dc4d7ff2d25232, 0xc8fcaeebcb40eb47
|
|
data8 0xc91d25431426a663, 0xc93db09d7fdb2949
|
|
data8 0xc95e5112e721582a, 0xc97f06bb49787677
|
|
data8 0xc99fd1aecd6e1b06, 0xc9d12a3e27bb1625
|
|
data8 0xc9f22ad82ba3d5f0, 0xca134113105e67b2
|
|
data8 0xca346d07b045a876, 0xca55aecf0e94bb88
|
|
data8 0xca77068257be9bab, 0xca98743ae1c693a8
|
|
data8 0xcab9f8122c99a101, 0xcadb9221e268c3b5
|
|
data8 0xcafd4283d8043dfd, 0xcb1f09520d37c6fb
|
|
data8 0xcb51ddcb9e93095e, 0xcb95f333968ad59b
|
|
data8 0xcbda64292d3ffd97, 0xcc1f3184af961596
|
|
data8 0xcc5bb1ac954d33e2, 0xcca12e9831fc6402
|
|
data8 0xcce70a67b64f24ad, 0xcd24794726477ea5
|
|
data8 0xcd6b096a0b70ee87, 0xcda9177738b15a90
|
|
data8 0xcdf05f2247dffab9, 0xce2f0f347f96f906
|
|
data8 0xce6e0be0cd551a61, 0xceb666b2c347d1de
|
|
data8 0xcef609b0cb874f00, 0xcf35fb5447e5c765
|
|
data8 0xcf763c47ee869f00, 0xcfb6cd3888d71785
|
|
data8 0xcff7aed4fbfbb447, 0xd038e1ce5167e3c6
|
|
data8 0xd07a66d7bfa0ebba, 0xd0bc3ea6b32d1b21
|
|
data8 0xd0f4f0e8f36c1bf8, 0xd1376458e34b037e
|
|
data8 0xd17a2ca133f78572, 0xd1bd4a80301c5715
|
|
data8 0xd1f71682b2fa4575, 0xd23ad555f773f059
|
|
data8 0xd2752c7039a5bf73, 0xd2b98ee008c06b59
|
|
data8 0xd2f4735ffd700280, 0xd32f99ed6d9ac0e1
|
|
data8 0xd374f0666c75d51c, 0xd3b0a7d13618e4a1
|
|
data8 0xd3eca2ea53bcec0c, 0xd428e23874f13a17
|
|
data8 0xd46f82fe293bc6d3, 0xd4ac57e9b7186420
|
|
data8 0xd4e972becb04e8b8, 0xd526d40a7a9b43a3
|
|
data8 0xd5647c5b73917370, 0xd5a26c4201bd6d13
|
|
data8 0xd5e0a45015350a7e, 0xd614b539c6194104
|
|
data8 0xd6537310e224283f, 0xd6927ab62244c917
|
|
data8 0xd6d1ccc1fc4ef4b7, 0xd71169cea98fdded
|
|
data8 0xd746a66a5bc9f6d9, 0xd786ce8f0fae5317
|
|
data8 0xd7bc7ff214c4e75a, 0xd7fd35467a517ed1
|
|
data8 0xd83e38838648d815, 0xd874a1db598b8951
|
|
data8 0xd8ab42205b80edaf, 0xd8ed1849d202f965
|
|
data8 0xd92432bd5a173685, 0xd9669ca45b03c23e
|
|
data8 0xd99e3327cf89574e, 0xd9d602b19b100466
|
|
data8 0xda0e0ba86c096841, 0xda5195fcdb1c3dce
|
|
data8 0xda8a1eb87a491f6c, 0xdac2e230b91c3f84
|
|
data8 0xdafbe0d0b66aea30, 0xdb351b04a8fafced
|
|
data8 0xdb6e9139e33cdd8e, 0xdba843ded7151ea1
|
|
data8 0xdbe2336319b61fc8, 0xdc1c60376789fa68
|
|
data8 0xdc56cacda82d0cd5, 0xdc917398f2797814
|
|
data8 0xdccc5b0d90a3e628, 0xdd0781a10469f0f2
|
|
data8 0xdd42e7ca0b52838f, 0xdd729ad01c69114d
|
|
data8 0xddae749c001fbf5e, 0xddea8f50a51c69b1
|
|
data8 0xde26eb69a0f0f111, 0xde576480262399bc
|
|
data8 0xde943789645933c8, 0xded14d58139a28af
|
|
data8 0xdf025c00bbf2b5c7, 0xdf3feb44d723a713
|
|
data8 0xdf715bc16c159be0, 0xdfaf66240e29cda8
|
|
data8 0xdfe139cbf6e19bdc, 0xe01fc0fe94d9fc52
|
|
data8 0xe051f92ffcc0bd60, 0xe090feec9c9a06ac
|
|
data8 0xe0c39d0c9ff862d6, 0xe0f668eeb99f188d
|
|
data8 0xe1362890eb663139, 0xe1695c7212aecbaa
|
|
data8 0xe19cbf0391bbbbe9, 0xe1d050901c531e85
|
|
data8 0xe2110903b4f4047a, 0xe2450559b4d80b6d
|
|
data8 0xe27931a231554ef3, 0xe2ad8e2ac3c5b04b
|
|
data8 0xe2e21b41b9694cce, 0xe316d93615862714
|
|
data8 0xe3590bd86a0d30f9, 0xe38e38e38e38e38e
|
|
data8 0xe3c397d1e6db7839, 0xe3f928f5953feb9e
|
|
data8 0xe42eeca17c62886c, 0xe464e32943446305
|
|
data8 0xe49b0ce15747a8a2, 0xe4d16a1eee94e9d4
|
|
data8 0xe4fa52107353f67d, 0xe5310a471f4d2dc3
|
|
data8 0xe567f6f1c2b9c224, 0xe59f18689a9e4c9a
|
|
data8 0xe5d66f04b8a68ecf, 0xe60dfb2005c192e9
|
|
data8 0xe645bd1544c7ea51, 0xe66fb21b505b20a0
|
|
data8 0xe6a7d32af4a7c59a, 0xe6e02b129c6a5ae4
|
|
data8 0xe70a9136a7403039, 0xe74349fb2d92a589
|
|
data8 0xe77c3a9c86ed7d42, 0xe7a713f88151518a
|
|
data8 0xe7e067453317ed2b, 0xe819f37a81871bb5
|
|
data8 0xe8454236bfaeca14, 0xe87f32f24c3fc90e
|
|
data8 0xe8aacd8688892ba6, 0xe8e523fd32f606f7
|
|
data8 0xe9110b5311407927, 0xe94bc8bf0c108fa3
|
|
data8 0xe977fdc439c2ca3c, 0xe9b3236528fc349e
|
|
data8 0xe9dfa70b745ac1b4, 0xea1b36268d0eaa38
|
|
data8 0xea480963fd394197, 0xea84034425f27484
|
|
data8 0xeab12713138dd1cc, 0xeade6db73a5e503b
|
|
data8 0xeb1b0268343b121b, 0xeb489b0b2bdb5f14
|
|
data8 0xeb765721e85f03d0, 0xebb389645f222f62
|
|
data8 0xebe198f090607e0c, 0xec0fcc9321024509
|
|
data8 0xec3e247da8b82f61, 0xec7c27d21321c9f7
|
|
data8 0xecaad5278824e453, 0xecd9a76d097d4e77
|
|
data8 0xed089ed5dcd99446, 0xed37bb95add09a1c
|
|
data8 0xed76c70508f904b6, 0xeda63bb05e7f93c6
|
|
data8 0xedd5d661daed2dc4, 0xee05974eef86b903
|
|
data8 0xee357ead791fc670, 0xee658cb3c134a463
|
|
data8 0xee95c1987f080211, 0xeec61d92d8c4314f
|
|
data8 0xeef6a0da64a014ac, 0xef274ba72a07c811
|
|
data8 0xef581e31a2c91260, 0xef8918b2bc43aec6
|
|
data8 0xefba3b63d89d7cbf, 0xefeb867ecffaa607
|
|
data8 0xf01cfa3df1b9c9fa, 0xf04e96dc05b43e2d
|
|
data8 0xf0805c944d827454, 0xf0b24ba285c495cb
|
|
data8 0xf0e46442e76f6569, 0xf116a6b2291d7896
|
|
data8 0xf1383fa9e9b5b381, 0xf16ac84f90083b9b
|
|
data8 0xf19d7b686dcb03d7, 0xf1d0593311db1757
|
|
data8 0xf20361ee8f1c711e, 0xf23695da7de51d3f
|
|
data8 0xf258d095e465cc35, 0xf28c4d0bfc982b34
|
|
data8 0xf2bff55eb3f0ea71, 0xf2f3c9cf9884636e
|
|
data8 0xf31670135ab9cc0f, 0xf34a8e9f0b54cdfb
|
|
data8 0xf37ed9fa6b8add3f, 0xf3a1cfe884ef6bb6
|
|
data8 0xf3d66689dcc8e8d3, 0xf40b2ab069d5c96a
|
|
data8 0xf42e718b90c8bc16, 0xf463822a0a3b4b00
|
|
data8 0xf498c1076015faf8, 0xf4bc5a19a33990b5
|
|
data8 0xf4f1e6a7d6f5425f, 0xf527a232cf6be334
|
|
data8 0xf54b8ecdcda90851, 0xf5819949c7ad87b4
|
|
data8 0xf5a5bac9213b48a9, 0xf5dc1501f324a812
|
|
data8 0xf6006bee86b5589e, 0xf63716b2fa067fa4
|
|
data8 0xf66df22fb6132b9c, 0xf6929fb98225deb1
|
|
data8 0xf6c9cd13021e3fea, 0xf6eeb177472cedae
|
|
data8 0xf713abf4cb0b3afb, 0xf74b4d5333684ef1
|
|
data8 0xf7707f75a72f8e94, 0xf7a874b97927af44
|
|
data8 0xf7cddf140aedf1d8, 0xf806291bacb7f7a9
|
|
data8 0xf82bcc43b92eafef, 0xf8646bf0defb759e
|
|
data8 0xf88a487dfc3ff5f7, 0xf8b03c2b46cdc17f
|
|
data8 0xf8e95541c152ae7a, 0xf90f832c2700c160
|
|
data8 0xf935c88e0c7f419b, 0xf96f5cd84fd86873
|
|
data8 0xf995dd53ebdd9d6d, 0xf9bc75a034436a41
|
|
data8 0xf9f686f26d5518de, 0xfa1d5b39b910a8c5
|
|
data8 0xfa4447acc4ecbfd2, 0xfa7ed7e51e6fdfb4
|
|
data8 0xfaa601394d49a1a0, 0xfacd431644ce0e40
|
|
data8 0xfaf49d96f7a75909, 0xfb2fd3c65e562fd5
|
|
data8 0xfb576c5762024805, 0xfb7f1debc22c4040
|
|
data8 0xfba6e89f32d0190a, 0xfbe2c803a0894893
|
|
data8 0xfc0ad1ff0ed9ecf0, 0xfc32f57bdfbcbe7f
|
|
data8 0xfc5b32968f99b21c, 0xfc83896bc861ab08
|
|
data8 0xfcabfa1861ed4815, 0xfce8d3cea7d3163e
|
|
data8 0xfd118595143ee273, 0xfd3a519943d4865a
|
|
data8 0xfd6337f8e1ae5a4b, 0xfd8c38d1c8e927eb
|
|
data8 0xfdb5544205095a53, 0xfdde8a67d2613531
|
|
data8 0xfe07db619e781611, 0xfe460768d80bf758
|
|
data8 0xfe6f9bfb06cd32f6, 0xfe994bcd3d14fcc2
|
|
data8 0xfec316fecaf3f2ab, 0xfeecfdaf33fadb80
|
|
data8 0xff16fffe2fa8fad6, 0xff411e0ba9db886d
|
|
data8 0xff6b57f7c33e4e9a, 0xff95ade2d1bd7358
|
|
data8 0xffc01fed60f86fb5, 0xffeaae3832b63956
|
|
LOCAL_OBJECT_END(T_table)
|
|
|
|
|
|
LOCAL_OBJECT_START(D_table)
|
|
|
|
data4 0x1e50f488, 0x1ebdc559, 0x1e649ec1, 0x9eed9b2c
|
|
data4 0x9e511c44, 0x9ec6d551, 0x9eefe248, 0x9e313854
|
|
data4 0x9f54ff18, 0x9d231411, 0x1ee5d63c, 0x9edf6b95
|
|
data4 0x9f332aaa, 0x1dc92a84, 0x1f73fb7b, 0x1e32f100
|
|
data4 0x9ea636f5, 0x9f6c3353, 0x9f405552, 0x1f33fd97
|
|
data4 0x1e975291, 0x9e59a11e, 0x1e47b0ba, 0x9d8ad33e
|
|
data4 0x1ea51bf6, 0x1f25d782, 0x9ecf534d, 0x1f55436f
|
|
data4 0x1d0975e4, 0x9f0633a1, 0x1f3e840a, 0x1f523a4c
|
|
data4 0x9f53cbbc, 0x9c8b5661, 0x9f6bc8eb, 0x1f4f6c7b
|
|
data4 0x9ed9b376, 0x9f5b30b6, 0x1f64fa5e, 0x1cbcc3e0
|
|
data4 0x1f343548, 0x1f62a6a2, 0x9f336abb, 0x9f1d15af
|
|
data4 0x1f476c83, 0x1ea86421, 0x1f33b2cf, 0x9e8f1348
|
|
data4 0x1f6fa829, 0x9f30ee3a, 0x9ebd6146, 0x1f2db598
|
|
data4 0x1ef9600d, 0x1f5b1427, 0x9edd741b, 0x1f51ef4e
|
|
data4 0x9f1aa57d, 0x9ee9b5e0, 0x9f17ecd7, 0x1ead71ff
|
|
data4 0x1f6c910e, 0x9e1837df, 0x9f0f17d9, 0x9e8350dd
|
|
data4 0x9d292f1b, 0x9e33b3ab, 0x9d6f0fe8, 0x9ed8c7cc
|
|
data4 0x9ec598c8, 0x9d56758c, 0x1e090c1e, 0x9ed4b941
|
|
data4 0x9f1fc4cf, 0x1f63513a, 0x9edd0abc, 0x1e3924dd
|
|
data4 0x1f60d56f, 0x1ea84424, 0x9e88f4fb, 0x1f205c09
|
|
data4 0x1ec9ae4e, 0x1d2d5738, 0x9f2c9f6d, 0x1e0765c2
|
|
data4 0x1e8bbdd7, 0x9f16d9f1, 0x9ea62627, 0x1f13904c
|
|
data4 0x1e566ab8, 0x9dca3d1a, 0x9e91f2a1, 0x9f14641c
|
|
data4 0x9f278946, 0x1f490c1e, 0x1f575eb6, 0x1f50b3fd
|
|
data4 0x9da32efb, 0x1ea95e59, 0x9e41e058, 0x9eada15f
|
|
data4 0x9e4fe66c, 0x1f3abc98, 0x1f1b8d1e, 0x9ece97e4
|
|
data4 0x1d188aed, 0x9e89b6ee, 0x1f287478, 0x9e8a161a
|
|
data4 0x1e4749f7, 0x9e68084a, 0x1e867f33, 0x9f462b63
|
|
data4 0x1db30792, 0x1f59a767, 0x9d1da4ae, 0x9f472a33
|
|
data4 0x1d1e91cd, 0x9f414824, 0x9f473d4f, 0x1f4b5783
|
|
data4 0x9f5b04b8, 0x9f5c205b, 0x1f309617, 0x9f0d6852
|
|
data4 0x9d96a609, 0x9f0965c2, 0x9e23f467, 0x9f089884
|
|
data4 0x9ec71458, 0x9ed6e955, 0x1e5e8691, 0x1f5b2bbc
|
|
data4 0x9f128268, 0x1ed40f5b, 0x1dc430ce, 0x1f345986
|
|
data4 0x1d778f72, 0x1e9b11d6, 0x9f5a40be, 0x9e07f61a
|
|
data4 0x9ed641a7, 0x9f334787, 0x1e952fd0, 0x1edeb5e2
|
|
data4 0x9e9f3eb1, 0x9e379fd9, 0x1f13102a, 0x9e5e80e1
|
|
data4 0x1c757944, 0x1dae2260, 0x1f183ab7, 0x1e55d576
|
|
data4 0x9e6bb99f, 0x9f52d7cb, 0x9e73a0f5, 0x1d4e1d14
|
|
data4 0x9dd05b53, 0x1f2261e4, 0x9d4ee73d, 0x1ede515e
|
|
data4 0x1f22a573, 0x9ecac348, 0x1e6a2ac0, 0x1e2787d2
|
|
data4 0x9eb64b87, 0x1f0c69c6, 0x9f470a01, 0x9d7c1686
|
|
data4 0x1e468ebe, 0x9f21ee2f, 0x9ee52116, 0x9e20f715
|
|
data4 0x1ed18533, 0x9f005b38, 0x9f20cb95, 0x1da72967
|
|
data4 0x1f1ba5d7, 0x1e2f8b16, 0x9c794f96, 0x9ca74ea3
|
|
data4 0x1f410555, 0x9eff2b96, 0x1ce8f0b1, 0x1f0cee77
|
|
data4 0x1f191edd, 0x9ed5fcbc, 0x1f30f242, 0x9e0ad369
|
|
data4 0x1ed8f3c8, 0x1f52bb0e, 0x9e9ce408, 0x1f18907f
|
|
data4 0x9ecdad40, 0x9e8af91d, 0x1d46698a, 0x9f4b93d6
|
|
data4 0x9f3f5d33, 0x1e2e52f7, 0x9f13aeec, 0x9f3b1969
|
|
data4 0x1f0996f4, 0x9f2a03df, 0x1e264767, 0x1f3ab1fb
|
|
data4 0x9f3193c9, 0x9f21ce22, 0x9eab624c, 0x9ecd8fb1
|
|
data4 0x1eaf9a85, 0x1f0c6a2c, 0x1eecbe61, 0x1f3fead9
|
|
data4 0x1f1d3a29, 0x1e9099ce, 0x1eadd875, 0x1e4dbfb8
|
|
data4 0x9dc640d2, 0x1f413680, 0x9f3f57b3, 0x1dfa1553
|
|
data4 0x1ec71c6b, 0x1e00cc00, 0x9f271e55, 0x1e5a88bb
|
|
data4 0x1f46cc2b, 0x1ee80ff9, 0x9e29c6f3, 0x1f15e229
|
|
data4 0x9ea83d66, 0x1f37408e, 0x9dacb66e, 0x1e6f6259
|
|
data4 0x9f106973, 0x1dd4e5ac, 0x1cbfdcc8, 0x9f231c9f
|
|
data4 0x9e8677e4, 0x9e9e695a, 0x1efd782b, 0x9dd26959
|
|
data4 0x9e80af69, 0x1f386fb3, 0x1f022e8c, 0x9e839967
|
|
data4 0x1ce6796f, 0x1e4c22c2, 0x1e57ef24, 0x1e919804
|
|
data4 0x9d7ea090, 0x1e40140a, 0x1f261b46, 0x1db75be2
|
|
data4 0x1f145019, 0x9e3102b9, 0x9e22507b, 0x1eae813c
|
|
data4 0x1f117e97, 0x1f282296, 0x1f3814b3, 0x1e17977b
|
|
data4 0x1f39d6ff, 0x9f1c81b9, 0x9eb5bcad, 0x1f0f596e
|
|
data4 0x1e757fd5, 0x9f090daa, 0x9f2532fc, 0x9eebafbb
|
|
data4 0x1f086556, 0x9eeedde8, 0x9f32e174, 0x1e33c030
|
|
data4 0x1f1f145a, 0x1e6e556c, 0x1e419ffb, 0x9eb6019a
|
|
data4 0x9e872a2e, 0x1e113136, 0x1e93096f, 0x1f39be40
|
|
data4 0x1f1665ad, 0x9db81d7d, 0x9cd29091, 0x1e3f4af7
|
|
data4 0x9f23176c, 0x9eccf9b3, 0x1f34fc6c, 0x9ed36894
|
|
data4 0x1ef08e06, 0x9f3b46bb, 0x9f2c850b, 0x1f1565a4
|
|
data4 0x1e887bc3, 0x1e92629c, 0x9f11ac9e, 0x9e5579f3
|
|
data4 0x1e4d5790, 0x9ee1c3d1, 0x9e916aec, 0x9eb8d9b8
|
|
data4 0x1db46105, 0x1e168663, 0x1f26a942, 0x9f0f0383
|
|
data4 0x9f079032, 0x9ecae1d8, 0x1ed3b34c, 0x9edc5ee6
|
|
data4 0x9e8a75a7, 0x1f3c3de2, 0x9ee5041e, 0x1f08c727
|
|
data4 0x1d02d7ae, 0x9f36adda, 0x9ef9a857, 0x9ef5cb3a
|
|
data4 0x9eee73da, 0x9da5d629, 0x1e0e99be, 0x1e5159b9
|
|
data4 0x1f2eac89, 0x9e8eedc5, 0x1dd0ec90, 0x1f229aff
|
|
data4 0x1ed9c3e6, 0x1e95c55a, 0x9f0c24e4, 0x1e8afed6
|
|
data4 0x1e599a96, 0x1e881b21, 0x1eab84b9, 0x9ba2bb0e
|
|
data4 0x9e33ab10, 0x1f1710b5, 0x1ebfa271, 0x9e90bbc5
|
|
data4 0x9f32515b, 0x9b32aae8, 0x1eda455c, 0x1da8186e
|
|
data4 0x9e8917ff, 0x1ec4d08e, 0x1c90069d, 0x9f2f1d29
|
|
data4 0x9ecee86d, 0x9f234d1f, 0x1f370724, 0x1da87496
|
|
data4 0x1e7959f0, 0x9e8ada34, 0x1f1c7f6f, 0x1edd576b
|
|
data4 0x9de91e8b, 0x1ec4ef89, 0x1f32078a, 0x1e9925e2
|
|
data4 0x9d8eeccb, 0x9ea3d011, 0x1f231fdf, 0x9f1dbdfa
|
|
data4 0x1e7507a3, 0x1ec42614, 0x9e8693cb, 0x9ec68398
|
|
data4 0x1d5b05fb, 0x1de32119, 0x9f003429, 0x9ec16d92
|
|
data4 0x9f095315, 0x9f119d2c, 0x9ed0c984, 0x9f090662
|
|
data4 0x9e59aa1f, 0x9ed4e64a, 0x9f2798a7, 0x9f23624d
|
|
data4 0x1e0467d9, 0x1f22e7e7, 0x1e915256, 0x9cb4df70
|
|
data4 0x9e6f687c, 0x9e3c35e5, 0x9e5757ab, 0x9f031fa1
|
|
data4 0x1f25bff7, 0x1f0e58c2, 0x1ef3ce04, 0x1f002ecb
|
|
data4 0x9ebdc836, 0x9ed657dd, 0x9f149441, 0x9e8544b2
|
|
data4 0x1cd8ff1e, 0x1e9bb463, 0x1eaa1c5c, 0x1f200c1a
|
|
data4 0x1edbfbaf, 0x1f18724d, 0x9ed63c22, 0x9f08e045
|
|
data4 0x1f13ad07, 0x9e949311, 0x9f0c50d4, 0x1e824516
|
|
data4 0x1d5e52ba, 0x1d583fbd, 0x1e3b60a9, 0x9effe6d3
|
|
data4 0x1f0d0508, 0x1f00be77, 0x9e404bfa, 0x9e1ca381
|
|
data4 0x9f084dd8, 0x9e6db85d, 0x1db698e4, 0x9ebd1871
|
|
data4 0x9ecc2679, 0x1ee68442, 0x1edb1050, 0x9dbc96a4
|
|
data4 0x9f27c1f4, 0x1c99b756, 0x1eb4400a, 0x9f24390a
|
|
data4 0x1d927875, 0x9f074faa, 0x1e9dc2c3, 0x1f13c0d2
|
|
data4 0x1e3c9685, 0x9e6b6f75, 0x9db9cb31, 0x1ea5f3aa
|
|
data4 0x9d992c61, 0x1f1015e4, 0x1f194f70, 0x9e19d2b3
|
|
data4 0x9d89116c, 0x1f23cd35, 0x1e33d3a2, 0x1ee331b8
|
|
data4 0x1d5ba7ec, 0x9f273788, 0x9e6907f4, 0x9ed5f912
|
|
data4 0x9edd458d, 0x1e2ca7b2, 0x1ef81fe4, 0x1dc7ade6
|
|
data4 0x1e876e51, 0x9f04ec89, 0x1f1da63a, 0x1ec02bd0
|
|
data4 0x9e71326f, 0x1e7847b4, 0x1f0de618, 0x9e036cb6
|
|
data4 0x1eec61e2, 0x1ef1758b, 0x9ee880a3, 0x1ed269d7
|
|
data4 0x1e27edd3, 0x9e8a81a1, 0x1eacb84d, 0x9e1aad37
|
|
data4 0x1f1aa8f7, 0x1e9bbd90, 0x1ea1b61f, 0x9ed41c2f
|
|
data4 0x1dbb5dd6, 0x1f0ec733, 0x9df06b1b, 0x1e06fef1
|
|
data4 0x9edede3a, 0x1edeb5e2, 0x1f0e63ee, 0x9db316bb
|
|
data4 0x9efc1ad3, 0x1f01fbb5, 0x9cc0d078, 0x1ea28b36
|
|
data4 0x9e9dd205, 0x9e791534, 0x1da1c8d5, 0x9e8195cc
|
|
data4 0x1f0681a4, 0x1eeaf1e2, 0x9ef83b37, 0x9f22a92b
|
|
data4 0x1eabc4ce, 0x1f10eefb, 0x1e06d9aa, 0x1e7cacd5
|
|
data4 0x1f1ea087, 0x1eb21983, 0x9f100c78, 0x1e840abe
|
|
data4 0x9efab66c, 0x1f183fa8, 0x9e84ee68, 0x9eea083d
|
|
data4 0x9ee23a74, 0x1f1351d7, 0x9ec5d42a, 0x9f071f57
|
|
data4 0x9ef578d9, 0x9f1aa7e7, 0x1eb02044, 0x1f151a2e
|
|
data4 0x9c0dc8b2, 0x9ef4087a, 0x1ec12b93, 0x1c1a946b
|
|
data4 0x1e89946f, 0x9dafe8c3, 0x1d295288, 0x9e8497ab
|
|
data4 0x1ec000c6, 0x1e102f29, 0x1e542256, 0x1e67d44d
|
|
data4 0x1ef688d8, 0x1f0e0f29, 0x1e67861f, 0x1e869748
|
|
data4 0x1ee6aa6e, 0x9e4d228b, 0x9e50be5b, 0x1e9fe225
|
|
data4 0x9ea34102, 0x9e628a3b, 0x9ed9fd83, 0x1ecd7109
|
|
data4 0x1f1864ff, 0x1ea19b76, 0x1db0d1c9, 0x9dff519b
|
|
data4 0x1e8fea71, 0x9ee82e9a, 0x9f08919b, 0x9ef5c8ae
|
|
data4 0x9ee446a4, 0x1ea59444, 0x1eb74230, 0x1ea13fbf
|
|
data4 0x9ea6a3ea, 0x1e5f2797, 0x9e0adb07, 0x9d3adadd
|
|
data4 0x1ebf2ee2, 0x1da19bfa, 0x1e8dea6d, 0x1ec4fea9
|
|
data4 0x1e669f22, 0x1dc5f919, 0x9ed25caa, 0x1ee475b1
|
|
data4 0x1ed0603e, 0x9eacb35c, 0x1dc00b27, 0x1e2f9991
|
|
data4 0x1e7b0406, 0x1eaa3387, 0x9d865bde, 0x1eb78a48
|
|
data4 0x1c40ae2e, 0x1ee9838b, 0x9f0f0d7f, 0x1e3e5d26
|
|
data4 0x1e99e7a6, 0x9e681ccf, 0x9e93ed65, 0x9eeb6a66
|
|
data4 0x1e29e9af, 0x9e96f923, 0x9e74f11d, 0x9f1474da
|
|
data4 0x1eec2ea7, 0x1ebf7aa3, 0x9c25dcca, 0x9f0553c2
|
|
data4 0x9e599efd, 0x1d2ab490, 0x1e95d7cd, 0x9ee4b20e
|
|
data4 0x9d988ce5, 0x9ef9787e, 0x9dbbba5b, 0x9f12c304
|
|
data4 0x1e3b9d70, 0x1e7bcae8, 0x9d98bb6e, 0x9e8e6b01
|
|
data4 0x9f07d03b, 0x9d67c822, 0x9f0ef69e, 0x1c7c0fe3
|
|
data4 0x9e9bfbb9, 0x9e83b84b, 0x1efbf15e, 0x9ecfa6a6
|
|
data4 0x9c91158e, 0x9ecf6770, 0x1ee1e3a8, 0x9dc95ec0
|
|
data4 0x1ef603f7, 0x1d5e52ba, 0x1c477d1b, 0x9e955cd8
|
|
data4 0x1ed665b0, 0x9e8376c4, 0x9c0ee88e, 0x1e8c989e
|
|
data4 0x1ea2df29, 0x9d961e5c, 0x1e101813, 0x1e7fffff
|
|
data4 0x9e5abff4, 0x1dbddd71, 0x1eb69100, 0x1e71f114
|
|
data4 0x1e9ca798, 0x1ef62c8d, 0x9db4e55a, 0x1dbe69ce
|
|
data4 0x9ef1c01f, 0x1f044a2a, 0x9eb9e0d7, 0x9ee59745
|
|
data4 0x9e874803, 0x1ea0b418, 0x9e13572a, 0x1ddbb3a2
|
|
data4 0x9ec0e391, 0x1e89fba1, 0x1ee8b261, 0x9e5d25f0
|
|
data4 0x9ef222cb, 0x9ef135ec, 0x1ea04b9a, 0x9f04291f
|
|
data4 0x9e969254, 0x9ee32f08, 0x9ed909d3, 0x9e362640
|
|
data4 0x9ec20735, 0x1e50131b, 0x9ed4e049, 0x1ee8e817
|
|
data4 0x1e1e09c0, 0x9ea643c5, 0x9e5a1ab6, 0x9e389059
|
|
data4 0x1e560947, 0x1d02b877, 0x1e4475ab, 0x9ea9aaf6
|
|
data4 0x1e95bc5e, 0x1eaf6afd, 0x1d43067d, 0x9d043821
|
|
data4 0x9e97baa9, 0x1de5c4f9, 0x9e9a0069, 0x9e1b9944
|
|
data4 0x1eb13686, 0x9eb907eb, 0x1e059589, 0x1cbd0f93
|
|
data4 0x9eb7e6ae, 0x1e9fa175, 0x1ee5bdf4, 0x1e8052f7
|
|
data4 0x9c80d1e3, 0x1bfbe28e, 0x9e672b3b, 0x9ecacf19
|
|
data4 0x9e3c04be, 0x1dfe8c5c, 0x1e1ba9cb, 0x1eb40b1e
|
|
data4 0x1ec7e7f6, 0x9d0d45b3, 0x1ef0113b, 0x9a155fa3
|
|
data4 0x1e28ec3b, 0x1e7ca8df, 0x9d2f91b4, 0x1eccd9ed
|
|
data4 0x9ed943bc, 0x9ccaab19, 0x9e8a5c58, 0x1ec3bca8
|
|
data4 0x1ed78dc7, 0x9ed391a8, 0x9e938f6e, 0x9ec4a030
|
|
data4 0x9e80346e, 0x1e7a4686, 0x9e284315, 0x9e39584c
|
|
data4 0x1ebdc9b4, 0x9e9cfce5, 0x9ef55c65, 0x1e2941e7
|
|
data4 0x9efbe59f, 0x1d87c41b, 0x1e40befc, 0x1e3d05b5
|
|
data4 0x1de9ea67, 0x1ec9a21c, 0x1decb69a, 0x1df6e75a
|
|
data4 0x9e8030ab, 0x9db20540, 0x9ef1e977, 0x1e3cdc43
|
|
data4 0x1e0492b0, 0x9e91d872, 0x1e775346, 0x9e939978
|
|
data4 0x1eb2714e, 0x1e49a203, 0x9e10195a, 0x1ef1ffc3
|
|
data4 0x9ea8b709, 0x9e832e27, 0x1ed5ac3b, 0x1edb20a6
|
|
data4 0x1e4dbd4e, 0x1efbb932, 0x1d8170ec, 0x1e6c4849
|
|
data4 0x1f008e17, 0x1e8000c4, 0x1d855ecf, 0x9e37cb85
|
|
data4 0x1ecffdf5, 0x1eba6519, 0x9edbe600, 0x1ea3e5e7
|
|
data4 0x1ed4fb39, 0x1f00be77, 0x1e6f4484, 0x9e9e7107
|
|
data4 0x9e30b29d, 0x9ee6e174, 0x1e3a2656, 0x9dd72f3f
|
|
data4 0x9ee12138, 0x1ed16fed, 0x9ece8a02, 0x9ca5b249
|
|
data4 0x9eafd508, 0x9ef0e9fc, 0x1d1307ac, 0x1eecee20
|
|
data4 0x1cf60c6f, 0x9d556216, 0x9eaed175, 0x9ec919f4
|
|
data4 0x1ec2c988, 0x1cd82772, 0x9dc99456, 0x1eab0467
|
|
data4 0x1e89b36f, 0x1c757944, 0x1eef9abd, 0x9e98664d
|
|
LOCAL_OBJECT_END(D_table)
|
|
|
|
|
|
.section .text
|
|
GLOBAL_LIBM_ENTRY(cbrtl)
|
|
|
|
{ .mfi
|
|
getf.sig GR_ARGSIG = f8
|
|
// will continue on main path only for normal/denormal numbers
|
|
// all other values will be filtered out and will exit early
|
|
fclass.nm.unc p12, p7 = f8, 0x1b
|
|
// GR_ADDR = pointer to C_1...C_6 followed by T_table
|
|
addl GR_ADDR = @ltoff(poly_coeffs), gp
|
|
}
|
|
{ .mfi
|
|
// GR_BIAS23 = 2/3*bias -63 = 0xaaaa-0x3f = 0xaa6b
|
|
mov GR_BIAS23 = 0xaa6b
|
|
// normalize a
|
|
fma.s1 FR_XNORM = f8, f1, f0
|
|
// GR_D_ADDR = pointer to D table
|
|
addl GR_D_ADDR = @ltoff(D_table), gp
|
|
}
|
|
;;
|
|
|
|
{ .mmf
|
|
// load start address for C_1...C_6 followed by T_table
|
|
ld8 GR_C_START = [ GR_ADDR ]
|
|
// load start address of D table
|
|
ld8 GR_D_START = [ GR_D_ADDR ]
|
|
// y = frcpa(a)
|
|
frcpa.s1 FR_RCP, p6 = f1, f8
|
|
}
|
|
;;
|
|
|
|
{ .mmi
|
|
// get normalized significand
|
|
getf.sig GR_NORMSIG = FR_XNORM
|
|
// get exponent
|
|
getf.exp GR_NORMEXPSGN = FR_XNORM
|
|
(p7) cmp.eq p12, p0 = GR_ARGSIG, r0
|
|
}
|
|
;;
|
|
|
|
{ .mii
|
|
// load C_1
|
|
ldfe FR_C1 = [ GR_C_START ], 16
|
|
mov GR_SGNMASK = 0x20000
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfb
|
|
// load C_2
|
|
ldfe FR_C2 = [ GR_C_START ], 16
|
|
(p12) fma.s0 f8 = f8, f1, f0
|
|
// NaN/Infinities exit early
|
|
(p12) br.ret.spnt b0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
// load C_3, C_4
|
|
ldfpd FR_C3, FR_C4 = [ GR_C_START ], 16
|
|
// y = frcpa(a), set flags and result when argument is 0
|
|
// only used when p6=0
|
|
frcpa.s0 f8, p0 = f1, f8
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mii
|
|
// get GR_SIGN = sign
|
|
and GR_SIGN = GR_NORMEXPSGN, GR_SGNMASK
|
|
// eliminate leading 1 from GR_NORMSIG = 2nd table index
|
|
shl GR_INDEX2 = GR_NORMSIG, 1
|
|
// eliminate sign from exponent
|
|
andcm GR_NORMEXP = GR_NORMEXPSGN, GR_SGNMASK
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
// load C_5, C_6
|
|
(p6) ldfpd FR_C5, FR_C6 = [ GR_C_START ], 16
|
|
// r = 1-a*y
|
|
(p6) fnma.s1 FR_R = FR_RCP, FR_XNORM, f1
|
|
// Start computation of floor(exponent/3) by
|
|
// computing (2^20+2)/3*exponent = exponent*0x55556
|
|
// 1: exponent* = 5;
|
|
// (2^{16}-1)/3 = 0x5555:
|
|
// will form 0x5555*exponent by using shladd's
|
|
shladd GR_EXP5 = GR_NORMEXP, 2, GR_NORMEXP
|
|
}
|
|
;;
|
|
|
|
{ .mib
|
|
// Next several integer steps compute floor(exponent/3)
|
|
// GR_TMP1 = (5*expon)*16
|
|
shladd GR_TMP1 = GR_EXP5, 4, r0
|
|
// GR_EXP3 = 3*exponent
|
|
shladd GR_EXP3 = GR_NORMEXP, 1, GR_NORMEXP
|
|
nop.b 0
|
|
}
|
|
;;
|
|
|
|
{ .mmi
|
|
// GR_EXP6 = 6*exponent
|
|
shladd GR_EXP6 = GR_EXP3, 1, r0
|
|
// GR_EXP17 = 17*expon
|
|
add GR_EXP17 = GR_EXP5, GR_TMP1
|
|
// GR_IX2 = 2nd table index (8 bits)
|
|
shr.u GR_IX2 = GR_INDEX2, 56
|
|
}
|
|
;;
|
|
|
|
{ .mmi
|
|
// adjust T_table pointer by 2nd index
|
|
shladd GR_T_INDEX = GR_IX2, 3, GR_C_START
|
|
// adjust D_table pointer by 2nd index
|
|
shladd GR_D_INDEX = GR_IX2, 2, GR_D_START
|
|
// GR_TMP2 = (17*expon)*16^2
|
|
shl GR_TMP2 = GR_EXP17, 8
|
|
}
|
|
;;
|
|
|
|
{ .mmi
|
|
// GR_TMP3 = expon*(2^16-1)/3
|
|
add GR_TMP3 = GR_EXP17, GR_TMP2
|
|
;;
|
|
// GR_TMP4 = expon*(2^20+2)/3 = expon*0x55556
|
|
shladd GR_TMP4 = GR_TMP3, 4, GR_EXP6
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mii
|
|
nop.m 0
|
|
// GR_EXP_RES = floor(expon/3)
|
|
shr.u GR_EXP_RES = GR_TMP4, 20
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mmi
|
|
nop.m 0
|
|
// r16 = 3*exponent
|
|
shladd r16 = GR_EXP_RES, 1, GR_EXP_RES
|
|
// bias exponent
|
|
add GR_EXPBIAS = GR_BIAS23, GR_EXP_RES
|
|
}
|
|
;;
|
|
|
|
{ .mmi
|
|
// get remainder of exponent/3
|
|
sub GR_EXP_MOD_3 = GR_NORMEXP, r16
|
|
;;
|
|
// add sign to exponent
|
|
or GR_EXPSIGNRES = GR_EXPBIAS, GR_SIGN
|
|
// remainder << = 8
|
|
shl GR_REMTMP = GR_EXP_MOD_3, 8
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
// adjust D_table pointer by 1st index
|
|
shladd GR_IX_D = GR_REMTMP, 2, GR_D_INDEX
|
|
// P_1 = C_1+C_2*r
|
|
(p6) fma.s1 FR_P1 = FR_C2, FR_R, FR_C1
|
|
// adjust T_table pointer by 1st index
|
|
shladd GR_IX_T = GR_REMTMP, 3, GR_T_INDEX
|
|
}
|
|
{ .mfi
|
|
// FR_SGNEXP = sign*2^{exponent/3}
|
|
(p6) setf.exp FR_SGNEXP = GR_EXPSIGNRES
|
|
// r^2 = r*r
|
|
(p6) fma.s1 FR_R2 = FR_R, FR_R, f0
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
// load D
|
|
(p6) ldfs FR_D = [ GR_IX_D ]
|
|
// P_2 = C_3+C_4*r
|
|
(p6) fma.s1 FR_P2 = FR_C4, FR_R, FR_C3
|
|
nop.i 0
|
|
}
|
|
{ .mfi
|
|
// load T
|
|
(p6) ldf8 FR_T = [ GR_IX_T ]
|
|
// P_3 = C_5+C_6*r
|
|
(p6) fma.s1 FR_P3 = FR_C6, FR_R, FR_C5
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
// P_4 = D-r*P_1
|
|
(p6) fnma.s1 FR_P4 = FR_R, FR_P1, FR_D
|
|
nop.i 0
|
|
}
|
|
{ .mfi
|
|
nop.m 0
|
|
// r^3 = r*r^2
|
|
(p6) fma.s1 FR_R3 = FR_R, FR_R2, f0
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
// P_5 = P_2+r2*P_3
|
|
(p6) fma.s1 FR_P5 = FR_R2, FR_P3, FR_P2
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfi
|
|
nop.m 0
|
|
// T = T*(sign*2^{exponent/3})
|
|
(p6) fma.s1 FR_TF = FR_T, FR_SGNEXP, f0
|
|
nop.i 0
|
|
}
|
|
{ .mfi
|
|
nop.m 0
|
|
// P = P_4-r3*P_5
|
|
(p6) fnma.s1 FR_P = FR_R3, FR_P5, FR_P4
|
|
nop.i 0
|
|
}
|
|
;;
|
|
|
|
{ .mfb
|
|
nop.m 0
|
|
// result = T+T*p
|
|
(p6) fma.s0 f8 = FR_TF, FR_P, FR_TF
|
|
br.ret.sptk b0
|
|
}
|
|
;;
|
|
|
|
GLOBAL_LIBM_END(cbrtl)
|
|
libm_alias_ldouble_other (cbrt, cbrt)
|