2007-07-12 18:26:36 +00:00
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.file "cbrtl.s"
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2001-02-19 09:09:18 +00:00
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2007-07-12 18:26:36 +00:00
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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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// Contributed 2000 by the Intel Numerics Group, Intel Corporation
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2002-07-06 06:36:39 +00:00
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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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2007-07-12 18:26:36 +00:00
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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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2007-07-12 18:26:36 +00:00
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RODATA
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.align 16
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2007-07-12 18:26:36 +00:00
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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 0x80155c748c374836, 0x8040404b0879f7f9
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data8 0x806b5dce4b405c10, 0x8096b586974669b1
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data8 0x80bcd273d952a028, 0x80e898c52813f2f3
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data8 0x81149add67c2d208, 0x813b4e2c856b6e9a
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data8 0x8167c1dde03de7aa, 0x818ed973b811135e
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data8 0x81bbc0c33e13ec98, 0x81e33e69fbe7504a
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data8 0x820aec524e3c23e9, 0x823880f78e70b805
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data8 0x826097a62a8e5200, 0x8288dfe00e9b5eaf
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data8 0x82b15a10c5371624, 0x82da06a527b18937
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data8 0x8302e60b635ab394, 0x832bf8b2feec2f0e
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data8 0x83553f0ce00e276b, 0x837eb98b50f8322a
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data8 0x83a270f44c84f699, 0x83cc4d7cfcfac5ca
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data8 0x83f65f78a8872b4c, 0x8420a75f2f7b53c8
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data8 0x844510461ff14209, 0x846fbd91b930bed2
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data8 0x84947e18234f3294, 0x84bf92755825045a
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data8 0x84e4ac0ee112ba51, 0x8509ef44b86f20be
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data8 0x85359d5d91768427, 0x855b3bd5b7384357
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data8 0x858104f0c415f79a, 0x85a6f90390d29864
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data8 0x85d3772fcd56a1dd, 0x85f9c982fcc002f3
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data8 0x862047e0e7ea554b, 0x8646f2a26f7f5852
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data8 0x866dca21754096b5, 0x8694ceb8dfd17a37
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data8 0x86bc00c49e9307e8, 0x86dccd74fce79610
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data8 0x870453c845acf90f, 0x872c089a1e90342c
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data8 0x8753ec4a92d16c5e, 0x877bff3aca19f6b4
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data8 0x879d88b6fe1c324c, 0x87c5f346dbf98c3a
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data8 0x87e7c653efacef2c, 0x881089d4e73ffefc
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data8 0x88397e6a366f2a8a, 0x885bc559e5e1c081
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data8 0x887e2ee392bb7a93, 0x88a7a8587e404257
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data8 0x88ca5eda67594784, 0x88f4356166bd590e
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data8 0x89173a0acf5ce026, 0x893a62a098b6a57b
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data8 0x895daf637236ae2c, 0x89883b9d1c2fa9c5
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data8 0x89abd8dd374a5d7b, 0x89cf9b1dcd197fa0
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data8 0x89f382a258ea79de, 0x8a178faf06648f29
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data8 0x8a3bc288b3e1d18a, 0x8a601b74f4d1f835
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data8 0x8a849aba14274764, 0x8aa9409f16cdbc9b
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data8 0x8ace0d6bbe2cb316, 0x8af301688ab33558
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data8 0x8b181cdebe6f3206, 0x8b3d60185fafcb7c
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data8 0x8b62cb603bb2fad0, 0x8b80d7d6bc4104de
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data8 0x8ba68bf73ac74f39, 0x8bcc68fb9f9f7335
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data8 0x8bf26f31c534fca2, 0x8c10f86e13a1a1f9
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data8 0x8c3749916cc6abb5, 0x8c5dc4c4f7706032
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data8 0x8c7cac3a8c42e3e0, 0x8ca373f1b7bf2716
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data8 0x8cc29907fb951294, 0x8ce9ae4e9492aac8
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data8 0x8d0911dddbfdad0e, 0x8d3075c4f20f04ee
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data8 0x8d5018a9d4de77d5, 0x8d77cc47dd143515
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data8 0x8d97af6352739cb7, 0x8db7af523167800f
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data8 0x8ddfd80bc68c32ff, 0x8e00197e1e7c88fe
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data8 0x8e207859f77e20e7, 0x8e40f4ce60c9f8e2
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data8 0x8e69ba46cf2fde4d, 0x8e8a7a00bd7ae63e
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data8 0x8eab57ef1cf2f529, 0x8ecc5442cffb1dad
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data8 0x8eed6f2d2a4acbfe, 0x8f0ea8dff24441ff
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data8 0x8f385c95d696b817, 0x8f59dc43edd930f3
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data8 0x8f7b7b5f5ffad1c4, 0x8f9d3a1bea165f38
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data8 0x8fbf18adc34b66da, 0x8fe117499e356095
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data8 0x90033624aa685f8d, 0x9025757495f36b86
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data8 0x903f3a5dcc091203, 0x9061b2fceb2bdbab
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data8 0x90844ca7211032a7, 0x90a7079403e6a15d
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data8 0x90c9e3fbafd63799, 0x90ece216c8a16ee4
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data8 0x9110021e7b516f0a, 0x912a708a39be9075
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data8 0x914dcc7b31146370, 0x91714af8cfe984d5
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data8 0x918c00a6f3795e97, 0x91afbc299ed0295d
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data8 0x91d39add3e958db0, 0x91ee9920a8974d92
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data8 0x9212b5fcac537c19, 0x9236f6b256923fcf
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data8 0x92523ee6f90dcfc3, 0x9276bef031e6eb79
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data8 0x929236ec237a24ad, 0x92b6f70b7efe9dc3
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data8 0x92d29f61eec7dc2b, 0x92f7a05d5b8ba92f
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data8 0x931379a403be5c16, 0x9338bc44de2e3f34
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data8 0x9354c71412c69486, 0x937a4c273907e262
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data8 0x93968919f6e7975d, 0x93bc516fdd4680c9
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data8 0x93d8c123d9be59b2, 0x93f546c955e60076
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data8 0x941b70a65879079f, 0x943829f337410591
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data8 0x9454f995765bc4d2, 0x947b86b57f5842ed
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data8 0x94988aeb23470f86, 0x94b5a5dc9695f42a
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data8 0x94d2d7a9170d8b42, 0x94f9e87dd78bf019
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data8 0x95175019a503d89e, 0x9534cefa625fcb3a
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data8 0x955265405c491a25, 0x9570130c1f9bb857
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data8 0x9597ca4119525184, 0x95b5af6fb5aa4d3c
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data8 0x95d3ac9273aafd7a, 0x95f1c1cafdfd3684
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data8 0x960fef3b430b8d5f, 0x962e350575b409c5
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data8 0x964c934c0dfc1708, 0x966b0a31c9c6bc7d
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data8 0x968999d9ad8d264e, 0x96a8426705198795
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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)
|
2001-02-19 09:09:18 +00:00
|
|
|
|
|
|
|
|
{ .mfi
|
2007-07-12 18:26:36 +00:00
|
|
|
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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .mii
|
|
|
|
|
// load C_1
|
|
|
|
|
ldfe FR_C1 = [ GR_C_START ], 16
|
|
|
|
|
mov GR_SGNMASK = 0x20000
|
|
|
|
|
nop.i 0
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .mii
|
|
|
|
|
nop.m 0
|
|
|
|
|
// GR_EXP_RES = floor(expon/3)
|
|
|
|
|
shr.u GR_EXP_RES = GR_TMP4, 20
|
|
|
|
|
nop.i 0
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .mfi
|
|
|
|
|
nop.m 0
|
|
|
|
|
// P_4 = D-r*P_1
|
|
|
|
|
(p6) fnma.s1 FR_P4 = FR_R, FR_P1, FR_D
|
|
|
|
|
nop.i 0
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
{ .mfi
|
|
|
|
|
nop.m 0
|
|
|
|
|
// r^3 = r*r^2
|
|
|
|
|
(p6) fma.s1 FR_R3 = FR_R, FR_R2, f0
|
|
|
|
|
nop.i 0
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .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
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .mfi
|
|
|
|
|
nop.m 0
|
|
|
|
|
// T = T*(sign*2^{exponent/3})
|
|
|
|
|
(p6) fma.s1 FR_TF = FR_T, FR_SGNEXP, f0
|
|
|
|
|
nop.i 0
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
{ .mfi
|
|
|
|
|
nop.m 0
|
|
|
|
|
// P = P_4-r3*P_5
|
|
|
|
|
(p6) fnma.s1 FR_P = FR_R3, FR_P5, FR_P4
|
|
|
|
|
nop.i 0
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
{ .mfb
|
|
|
|
|
nop.m 0
|
|
|
|
|
// result = T+T*p
|
|
|
|
|
(p6) fma.s0 f8 = FR_TF, FR_P, FR_TF
|
|
|
|
|
br.ret.sptk b0
|
2001-02-19 09:09:18 +00:00
|
|
|
}
|
2007-07-12 18:26:36 +00:00
|
|
|
;;
|
|
|
|
|
|
|
|
|
|
GLOBAL_LIBM_END(cbrtl)
|
|
|
|
|
|
|
|
|
|
|
