diff options
Diffstat (limited to 'sysdeps/ia64/fpu/s_cbrtl.S')
| -rw-r--r-- | sysdeps/ia64/fpu/s_cbrtl.S | 1720 |
1 files changed, 902 insertions, 818 deletions
diff --git a/sysdeps/ia64/fpu/s_cbrtl.S b/sysdeps/ia64/fpu/s_cbrtl.S index d4bbf8fdbf..76ef12f334 100644 --- a/sysdeps/ia64/fpu/s_cbrtl.S +++ b/sysdeps/ia64/fpu/s_cbrtl.S @@ -1,11 +1,10 @@ -.file "cbrtl.asm" +.file "cbrtl.s" -// Copyright (C) 2000, 2001, Intel Corporation + +// Copyright (c) 2000 - 2004, Intel Corporation // All rights reserved. -// -// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska, -// Bob Norin, Shane Story, and Ping Tak Peter Tang -// of the Computational Software Lab, Intel Corporation. +// +// Contributed 2000 by the Intel Numerics Group, Intel Corporation // // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are @@ -21,26 +20,29 @@ // * The name of Intel Corporation may not be used to endorse or promote // products derived from this software without specific prior written // permission. -// -// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT + +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR -// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS +// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, -// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, -// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR -// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY +// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR +// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING -// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS -// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. -// +// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +// // Intel Corporation is the author of this code, and requests that all -// problem reports or change requests be submitted to it directly at -// http://developer.intel.com/opensource. +// problem reports or change requests be submitted to it directly at +// http://www.intel.com/software/products/opensource/libraries/num.htm. // // History //============================================================== -// 4/28/00: Initial version +// 04/28/00 Initial version +// 05/20/02 Cleaned up namespace and sf0 syntax +// 02/06/03 Reordered header:.section,.global,.proc,.align +// 11/23/04 Reformatted routine and improved speed // // API //============================================================== @@ -52,851 +54,933 @@ // // Implementation // -// cbrt(a) = cbrt(a y) / cbrt(y) -// = cbrt(1 - (1 - a y)) * 1/cbrt(y) +// The result is computed as +// cbrt(x)= cbrt(1 - (1 - x*y)) * (1/cbrt(y)) +// where y = frcpa(x) = (-1)^sgn_y * 2^(3*k+j) * m_y, +// m_y in [1,2), j in {0,1,2} // -// where y = frcpa(a). +// cbrt(1 - (1 - x*y)) is approximated by a degree-6 polynomial +// in r= 1 - x*y : +// 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 // -// * cbrt(1 - (1 - a y)) is approximated by a degree-6 polynomial -// -// 1 - c_1 r - c_2 * r^2 - c_3 * r^3 - c_4 * r^4 - c_5 * r^5 - c_6 * r^6 -// -// in r = 1 - a y. // -// * The values 1/cbrt(y) are stored as two tables of constants T_hi -// (double-extended precision) and D (single precision) as follows: +// The values (1/cbrt(y)) are stored as two tables of constants T_hi +// (double-extended precision) and D (single precision) as follows: +// T_hi (1 + D)= 1/cbrt(y) to about 80 bits of accuracy // -// T_hi (1 + D) = 1/cbrt(y) to about 80 bits of accuracy +// The tables are only stored for three exponent values (i.e. +// only for 2^j * m_y, where j in {0,1,2} and m_y covers the 256 +// possible mantissas for an frcpa result); the index is formed +// by the 8 leading mantissa bits of x, which is the same index used +// by the hardware to get frcpa(x). // -// The tables are only stored for three exponent values and are -// then multiplied by e/3 where e is the exponent of the input number. -// This computation is carried out in parallel with the polynomial -// evaluation: +// The table values are multiplied by 2^k where e is the exponent of +// the input number. This multiplication is carried out in parallel with +// the polynomial evaluation: +// T= 2^(k) * T_hi // -// T = 2^(e/3) * T_hi - - - - +//======================================================================= //=============== -// input = x -// C = frcpa(x) -// r = C * x - 1 -// -// Special values +// Special values //============================================================== - - // Registers used //============================================================== -// f6-f15 -// r2-r3, r23-r30 -// p6,p7,p12 +// p6, p7, p12 + FR_R = f6 + FR_C1 = f7 + FR_C2 = f9 + FR_C3 = f10 + FR_C4 = f11 + FR_C5 = f12 + FR_C6 = f13 + FR_XNORM = f14 + FR_D = f15 + FR_SPECIAL = f32 + FR_RCP = f33 + FR_R2 = f34 + FR_P1 = f35 + FR_P2 = f36 + FR_P3 = f37 + FR_P4 = f38 + FR_P5 = f39 + FR_R3 = f40 + FR_T = f41 + FR_TF = f42 + FR_P = f43 + FR_SGNEXP = f44 + + GR_ADDR = r2 + GR_C_START = r2 + GR_ARGSIG = r3 + GR_NORMSIG = r15 + GR_D_ADDR = r16 + GR_D_START = r16 + GR_INDEX2 = r17 + GR_IX2 = r17 + GR_NORMEXP = r18 + GR_EXP5 = r19 + GR_EXP3 = r20 + GR_EXP6 = r20 + GR_EXP17 = r21 + GR_TMP1 = r21 + GR_SGNMASK = r22 + GR_T_INDEX = r23 + GR_IX_T = r23 + GR_IX_D = r24 + GR_D_INDEX = r24 + GR_TMP2 = r25 + GR_TMP3 = r25 + GR_TMP4 = r25 + GR_EXP_RES = r26 + GR_BIAS23 = r27 + GR_EXPBIAS = r27 + GR_EXP_MOD_3 = r28 + GR_SIGN = r29 + GR_EXPSIGNRES = r29 + GR_REMTMP = r30 + GR_NORMEXPSGN = r31 -#include "libm_support.h" // Data tables //============================================================== -#ifdef _LIBC -.rodata -#else -.data -#endif +RODATA .align 16 -poly_coeffs: -ASM_TYPE_DIRECTIVE(poly_coeffs,@object) -data8 0xaaaaaaaaaaaaaab1, 0x00003ffd // C_1 -data8 0xe38e38e38e38e3e0, 0x00003ffb // C_2 -data8 0x3faf9add3c0be9a6, 0x3fa511e8d2b1f749 // C_3, C_4 -data8 0x3f9ee71b2c6ebe99, 0x3f9809180fd0340c // C_5, C_6 -ASM_SIZE_DIRECTIVE(poly_coeffs) - -T_table: -ASM_TYPE_DIRECTIVE(T_table,@object) - -data8 0x80155c748c374836, 0x8040404b0879f7f9 -data8 0x806b5dce4b405c10, 0x8096b586974669b1 -data8 0x80bcd273d952a028, 0x80e898c52813f2f3 -data8 0x81149add67c2d208, 0x813b4e2c856b6e9a -data8 0x8167c1dde03de7aa, 0x818ed973b811135e -data8 0x81bbc0c33e13ec98, 0x81e33e69fbe7504a -data8 0x820aec524e3c23e9, 0x823880f78e70b805 -data8 0x826097a62a8e5200, 0x8288dfe00e9b5eaf -data8 0x82b15a10c5371624, 0x82da06a527b18937 -data8 0x8302e60b635ab394, 0x832bf8b2feec2f0e -data8 0x83553f0ce00e276b, 0x837eb98b50f8322a -data8 0x83a270f44c84f699, 0x83cc4d7cfcfac5ca -data8 0x83f65f78a8872b4c, 0x8420a75f2f7b53c8 -data8 0x844510461ff14209, 0x846fbd91b930bed2 -data8 0x84947e18234f3294, 0x84bf92755825045a -data8 0x84e4ac0ee112ba51, 0x8509ef44b86f20be -data8 0x85359d5d91768427, 0x855b3bd5b7384357 -data8 0x858104f0c415f79a, 0x85a6f90390d29864 -data8 0x85d3772fcd56a1dd, 0x85f9c982fcc002f3 -data8 0x862047e0e7ea554b, 0x8646f2a26f7f5852 -data8 0x866dca21754096b5, 0x8694ceb8dfd17a37 -data8 0x86bc00c49e9307e8, 0x86dccd74fce79610 -data8 0x870453c845acf90f, 0x872c089a1e90342c -data8 0x8753ec4a92d16c5e, 0x877bff3aca19f6b4 -data8 0x879d88b6fe1c324c, 0x87c5f346dbf98c3a -data8 0x87e7c653efacef2c, 0x881089d4e73ffefc -data8 0x88397e6a366f2a8a, 0x885bc559e5e1c081 -data8 0x887e2ee392bb7a93, 0x88a7a8587e404257 -data8 0x88ca5eda67594784, 0x88f4356166bd590e -data8 0x89173a0acf5ce026, 0x893a62a098b6a57b -data8 0x895daf637236ae2c, 0x89883b9d1c2fa9c5 -data8 0x89abd8dd374a5d7b, 0x89cf9b1dcd197fa0 -data8 0x89f382a258ea79de, 0x8a178faf06648f29 -data8 0x8a3bc288b3e1d18a, 0x8a601b74f4d1f835 -data8 0x8a849aba14274764, 0x8aa9409f16cdbc9b -data8 0x8ace0d6bbe2cb316, 0x8af301688ab33558 -data8 0x8b181cdebe6f3206, 0x8b3d60185fafcb7c -data8 0x8b62cb603bb2fad0, 0x8b80d7d6bc4104de -data8 0x8ba68bf73ac74f39, 0x8bcc68fb9f9f7335 -data8 0x8bf26f31c534fca2, 0x8c10f86e13a1a1f9 -data8 0x8c3749916cc6abb5, 0x8c5dc4c4f7706032 -data8 0x8c7cac3a8c42e3e0, 0x8ca373f1b7bf2716 -data8 0x8cc29907fb951294, 0x8ce9ae4e9492aac8 -data8 0x8d0911dddbfdad0e, 0x8d3075c4f20f04ee -data8 0x8d5018a9d4de77d5, 0x8d77cc47dd143515 -data8 0x8d97af6352739cb7, 0x8db7af523167800f -data8 0x8ddfd80bc68c32ff, 0x8e00197e1e7c88fe -data8 0x8e207859f77e20e7, 0x8e40f4ce60c9f8e2 -data8 0x8e69ba46cf2fde4d, 0x8e8a7a00bd7ae63e -data8 0x8eab57ef1cf2f529, 0x8ecc5442cffb1dad -data8 0x8eed6f2d2a4acbfe, 0x8f0ea8dff24441ff -data8 0x8f385c95d696b817, 0x8f59dc43edd930f3 -data8 0x8f7b7b5f5ffad1c4, 0x8f9d3a1bea165f38 -data8 0x8fbf18adc34b66da, 0x8fe117499e356095 -data8 0x90033624aa685f8d, 0x9025757495f36b86 -data8 0x903f3a5dcc091203, 0x9061b2fceb2bdbab -data8 0x90844ca7211032a7, 0x90a7079403e6a15d -data8 0x90c9e3fbafd63799, 0x90ece216c8a16ee4 -data8 0x9110021e7b516f0a, 0x912a708a39be9075 -data8 0x914dcc7b31146370, 0x91714af8cfe984d5 -data8 0x918c00a6f3795e97, 0x91afbc299ed0295d -data8 0x91d39add3e958db0, 0x91ee9920a8974d92 -data8 0x9212b5fcac537c19, 0x9236f6b256923fcf -data8 0x92523ee6f90dcfc3, 0x9276bef031e6eb79 -data8 0x929236ec237a24ad, 0x92b6f70b7efe9dc3 -data8 0x92d29f61eec7dc2b, 0x92f7a05d5b8ba92f -data8 0x931379a403be5c16, 0x9338bc44de2e3f34 -data8 0x9354c71412c69486, 0x937a4c273907e262 -data8 0x93968919f6e7975d, 0x93bc516fdd4680c9 -data8 0x93d8c123d9be59b2, 0x93f546c955e60076 -data8 0x941b70a65879079f, 0x943829f337410591 -data8 0x9454f995765bc4d2, 0x947b86b57f5842ed -data8 0x94988aeb23470f86, 0x94b5a5dc9695f42a -data8 0x94d2d7a9170d8b42, 0x94f9e87dd78bf019 -data8 0x95175019a503d89e, 0x9534cefa625fcb3a -data8 0x955265405c491a25, 0x9570130c1f9bb857 -data8 0x9597ca4119525184, 0x95b5af6fb5aa4d3c -data8 0x95d3ac9273aafd7a, 0x95f1c1cafdfd3684 -data8 0x960fef3b430b8d5f, 0x962e350575b409c5 -data8 0x964c934c0dfc1708, 0x966b0a31c9c6bc7d -data8 0x968999d9ad8d264e, 0x96a8426705198795 -data8 0x96c703fd64445ee5, 0x96e5dec0a7b4268d -data8 0x9704d2d4f59f79f3, 0x9723e05ebe91b9b0 -data8 0x97430782be323831, 0x97624865fc0df8bf -data8 0x9781a32dcc640b2a, 0x97a117ffd0f48e46 -data8 0x97c0a701f9d263c9, 0x97e0505a8637a036 -data8 0x97f57a9fb0b08c6e, 0x9815503365914a9d -data8 0x98354085054fd204, 0x98554bbbf8a77902 -data8 0x987571fffb7f94f6, 0x9895b3791dd03c23 -data8 0x98ab43a5fc65d0c8, 0x98cbb2d196bd713d -data8 0x98ec3d9ec7b6f21a, 0x990ce436db5e8344 -data8 0x9922b8218160967a, 0x99438d686f75779d -data8 0x99647eea131fa20b, 0x997a85045a47c6d0 -data8 0x999ba5f14f8add02, 0x99bce38b5465ecae -data8 0x99d31ca0887f30f9, 0x99f48a669c74c09e -data8 0x9a16154eb445c873, 0x9a2c822ec198d667 -data8 0x9a4e3e080cd91b78, 0x9a70177afe52322e -data8 0x9a86b8fa94eebe10, 0x9aa8c42866ae2958 -data8 0x9abf86f9e12fc45e, 0x9ae1c462fc05f49d -data8 0x9af8a8dc936b84d0, 0x9b1b19033be35730 -data8 0x9b3da7daf04c2892, 0x9b54c2e4c8a9012b -data8 0x9b77854e6c661200, 0x9b8ec2e678d56d2f -data8 0x9ba60e6a5ca133b6, 0x9bc919ea66a151a4 -data8 0x9be0887c09ef82bb, 0x9c03c8d5fffc3503 -data8 0x9c1b5ad21a81cbb9, 0x9c3ed09216e9ca02 -data8 0x9c568656c0423def, 0x9c7a320af242ce60 -data8 0x9c920bf7a8c01dc2, 0x9ca9f475d98b159c -data8 0x9ccdeca60e80b5f8, 0x9ce5f9d4653d4902 -data8 0x9cfe15cb38bfdd8e, 0x9d225b983f6c1f96 -data8 0x9d3a9cca32261ed7, 0x9d52ecfccebe1768 -data8 0x9d77818d95b82f86, 0x9d8ff7893fa4706c -data8 0x9da87cbef36f2a5e, 0x9dcd6140b4a35aeb -data8 0x9de60cd06dc6e2d4, 0x9dfec7d4cc43b76f -data8 0x9e17925ec9fccc4a, 0x9e3cdf6db57dc075 -data8 0x9e55d110b63637a8, 0x9e6ed27594550d2e -data8 0x9e87e3adc385d393, 0x9ead9b54b37a1055 -data8 0x9ec6d46a3d7de215, 0x9ee01d9108be3154 -data8 0x9ef976db07288d04, 0x9f12e05a4759ec25 -data8 0x9f2c5a20f4da6668, 0x9f52af78ed1733ca -data8 0x9f6c52426a39d003, 0x9f860593d42fd7f3 -data8 0x9f9fc97fdb96bd51, 0x9fb99e194f4a7037 -data8 0x9fd383731ca51db9, 0x9fed79a04fbf9423 -data8 0xa00780b413b24ee8, 0xa02eab2c4474b0cd -data8 0xa048dcd51ccfd142, 0xa0631fa894b11b8d -data8 0xa07d73ba65e680af, 0xa097d91e6aaf71b0 -data8 0xa0b24fe89e02602f, 0xa0ccd82d1bd2f68b -data8 0xa0e77200215909e6, 0xa1021d760d584855 -data8 0xa11cdaa36068a57d, 0xa137a99cbd3f880b -data8 0xa160019ed37fb4ae, 0xa1960b5966da4608 -data8 0xa1cc5dbe6dc2aab4, 0xa202f97995b69c0d -data8 0xa232fe6eb0c0577d, 0xa26a2582012f6e17 -data8 0xa2a197e5d10465cb, 0xa2d25a532efefbc8 -data8 0xa30a5bd6e49e4ab8, 0xa33b9c9b59879e24 -data8 0xa3742fca6a3c1f21, 0xa3a5f1273887bf22 -data8 0xa3d7ef508ff11574, 0xa4115ce30548bc15 -data8 0xa443df0e53df577a, 0xa4769fa5913c0ec3 -data8 0xa4a99f303bc7def5, 0xa4dcde37779adf4b -data8 0xa5105d46152c938a, 0xa5441ce89825cb8d -data8 0xa5781dad3e54d899, 0xa5ac602406c4e68c -data8 0xa5d9601d95c2c0bc, 0xa60e1e1a2de14745 -data8 0xa6431f6e3fbd9658, 0xa67864b0d432fda4 -data8 0xa6a6444aa0243c0b, 0xa6dc094d10f25792 -data8 0xa70a574cc02bba69, 0xa7409e2af9549084 -data8 0xa76f5c64ca2cf13b, 0xa79e4f0babab5dc0 -data8 0xa7d5579ae5164b85, 0xa804bd3c6fe61cc8 -data8 0xa8345895e5250a5a, 0xa8642a122b44ef0b -data8 0xa89c38ca18f6108b, 0xa8cc81063b6e87ca -data8 0xa8fd00bfa409285e, 0xa92db8664d5516da -data8 0xa95ea86b75cc2c20, 0xa98fd141a4992deb -data8 0xa9c1335cae7446ba, 0xa9ea8686f556f645 -data8 0xaa1c52d17906bb19, 0xaa4e59b046dab887 -data8 0xaa809b9c60d1890b, 0xaab319102f3f9b33 -data8 0xaadd5a18c1e21274, 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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 -ASM_SIZE_DIRECTIVE(D_table) - - - - - -.align 32 -.global cbrtl# +LOCAL_OBJECT_START(poly_coeffs) + + data8 0xaaaaaaaaaaaaaab1, 0x00003ffd // C_1 + data8 0xe38e38e38e38e3e0, 0x00003ffb // C_2 + data8 0x3faf9add3c0be9a6, 0x3fa511e8d2b1f749 // C_3, C_4 + data8 0x3f9ee71b2c6ebe99, 0x3f9809180fd0340c // C_5, C_6 +LOCAL_OBJECT_END(poly_coeffs) -.section .text -.proc cbrtl# -.align 32 -cbrtl: +LOCAL_OBJECT_START(T_table) + + data8 0x80155c748c374836, 0x8040404b0879f7f9 + data8 0x806b5dce4b405c10, 0x8096b586974669b1 + data8 0x80bcd273d952a028, 0x80e898c52813f2f3 + data8 0x81149add67c2d208, 0x813b4e2c856b6e9a + data8 0x8167c1dde03de7aa, 0x818ed973b811135e + data8 0x81bbc0c33e13ec98, 0x81e33e69fbe7504a + data8 0x820aec524e3c23e9, 0x823880f78e70b805 + data8 0x826097a62a8e5200, 0x8288dfe00e9b5eaf + data8 0x82b15a10c5371624, 0x82da06a527b18937 + data8 0x8302e60b635ab394, 0x832bf8b2feec2f0e + data8 0x83553f0ce00e276b, 0x837eb98b50f8322a + data8 0x83a270f44c84f699, 0x83cc4d7cfcfac5ca + data8 0x83f65f78a8872b4c, 0x8420a75f2f7b53c8 + data8 0x844510461ff14209, 0x846fbd91b930bed2 + data8 0x84947e18234f3294, 0x84bf92755825045a + data8 0x84e4ac0ee112ba51, 0x8509ef44b86f20be + data8 0x85359d5d91768427, 0x855b3bd5b7384357 + data8 0x858104f0c415f79a, 0x85a6f90390d29864 + data8 0x85d3772fcd56a1dd, 0x85f9c982fcc002f3 + data8 0x862047e0e7ea554b, 0x8646f2a26f7f5852 + data8 0x866dca21754096b5, 0x8694ceb8dfd17a37 + data8 0x86bc00c49e9307e8, 0x86dccd74fce79610 + data8 0x870453c845acf90f, 0x872c089a1e90342c + data8 0x8753ec4a92d16c5e, 0x877bff3aca19f6b4 + data8 0x879d88b6fe1c324c, 0x87c5f346dbf98c3a + data8 0x87e7c653efacef2c, 0x881089d4e73ffefc + data8 0x88397e6a366f2a8a, 0x885bc559e5e1c081 + data8 0x887e2ee392bb7a93, 0x88a7a8587e404257 + data8 0x88ca5eda67594784, 0x88f4356166bd590e + data8 0x89173a0acf5ce026, 0x893a62a098b6a57b + data8 0x895daf637236ae2c, 0x89883b9d1c2fa9c5 + data8 0x89abd8dd374a5d7b, 0x89cf9b1dcd197fa0 + data8 0x89f382a258ea79de, 0x8a178faf06648f29 + data8 0x8a3bc288b3e1d18a, 0x8a601b74f4d1f835 + data8 0x8a849aba14274764, 0x8aa9409f16cdbc9b + data8 0x8ace0d6bbe2cb316, 0x8af301688ab33558 + data8 0x8b181cdebe6f3206, 0x8b3d60185fafcb7c + data8 0x8b62cb603bb2fad0, 0x8b80d7d6bc4104de + data8 0x8ba68bf73ac74f39, 0x8bcc68fb9f9f7335 + data8 0x8bf26f31c534fca2, 0x8c10f86e13a1a1f9 + data8 0x8c3749916cc6abb5, 0x8c5dc4c4f7706032 + data8 0x8c7cac3a8c42e3e0, 0x8ca373f1b7bf2716 + data8 0x8cc29907fb951294, 0x8ce9ae4e9492aac8 + data8 0x8d0911dddbfdad0e, 0x8d3075c4f20f04ee + data8 0x8d5018a9d4de77d5, 0x8d77cc47dd143515 + data8 0x8d97af6352739cb7, 0x8db7af523167800f + data8 0x8ddfd80bc68c32ff, 0x8e00197e1e7c88fe + data8 0x8e207859f77e20e7, 0x8e40f4ce60c9f8e2 + data8 0x8e69ba46cf2fde4d, 0x8e8a7a00bd7ae63e + data8 0x8eab57ef1cf2f529, 0x8ecc5442cffb1dad + data8 0x8eed6f2d2a4acbfe, 0x8f0ea8dff24441ff + data8 0x8f385c95d696b817, 0x8f59dc43edd930f3 + data8 0x8f7b7b5f5ffad1c4, 0x8f9d3a1bea165f38 + data8 0x8fbf18adc34b66da, 0x8fe117499e356095 + data8 0x90033624aa685f8d, 0x9025757495f36b86 + data8 0x903f3a5dcc091203, 0x9061b2fceb2bdbab + data8 0x90844ca7211032a7, 0x90a7079403e6a15d + data8 0x90c9e3fbafd63799, 0x90ece216c8a16ee4 + data8 0x9110021e7b516f0a, 0x912a708a39be9075 + data8 0x914dcc7b31146370, 0x91714af8cfe984d5 + data8 0x918c00a6f3795e97, 0x91afbc299ed0295d + data8 0x91d39add3e958db0, 0x91ee9920a8974d92 + data8 0x9212b5fcac537c19, 0x9236f6b256923fcf + data8 0x92523ee6f90dcfc3, 0x9276bef031e6eb79 + data8 0x929236ec237a24ad, 0x92b6f70b7efe9dc3 + data8 0x92d29f61eec7dc2b, 0x92f7a05d5b8ba92f + data8 0x931379a403be5c16, 0x9338bc44de2e3f34 + data8 0x9354c71412c69486, 0x937a4c273907e262 + data8 0x93968919f6e7975d, 0x93bc516fdd4680c9 + data8 0x93d8c123d9be59b2, 0x93f546c955e60076 + data8 0x941b70a65879079f, 0x943829f337410591 + data8 0x9454f995765bc4d2, 0x947b86b57f5842ed + data8 0x94988aeb23470f86, 0x94b5a5dc9695f42a + data8 0x94d2d7a9170d8b42, 0x94f9e87dd78bf019 + data8 0x95175019a503d89e, 0x9534cefa625fcb3a + data8 0x955265405c491a25, 0x9570130c1f9bb857 + data8 0x9597ca4119525184, 0x95b5af6fb5aa4d3c + data8 0x95d3ac9273aafd7a, 0x95f1c1cafdfd3684 + data8 0x960fef3b430b8d5f, 0x962e350575b409c5 + data8 0x964c934c0dfc1708, 0x966b0a31c9c6bc7d + data8 0x968999d9ad8d264e, 0x96a8426705198795 + data8 0x96c703fd64445ee5, 0x96e5dec0a7b4268d + data8 0x9704d2d4f59f79f3, 0x9723e05ebe91b9b0 + data8 0x97430782be323831, 0x97624865fc0df8bf + data8 0x9781a32dcc640b2a, 0x97a117ffd0f48e46 + data8 0x97c0a701f9d263c9, 0x97e0505a8637a036 + data8 0x97f57a9fb0b08c6e, 0x9815503365914a9d + data8 0x98354085054fd204, 0x98554bbbf8a77902 + data8 0x987571fffb7f94f6, 0x9895b3791dd03c23 + data8 0x98ab43a5fc65d0c8, 0x98cbb2d196bd713d + data8 0x98ec3d9ec7b6f21a, 0x990ce436db5e8344 + data8 0x9922b8218160967a, 0x99438d686f75779d + data8 0x99647eea131fa20b, 0x997a85045a47c6d0 + data8 0x999ba5f14f8add02, 0x99bce38b5465ecae + data8 0x99d31ca0887f30f9, 0x99f48a669c74c09e + data8 0x9a16154eb445c873, 0x9a2c822ec198d667 + data8 0x9a4e3e080cd91b78, 0x9a70177afe52322e + data8 0x9a86b8fa94eebe10, 0x9aa8c42866ae2958 + data8 0x9abf86f9e12fc45e, 0x9ae1c462fc05f49d + data8 0x9af8a8dc936b84d0, 0x9b1b19033be35730 + data8 0x9b3da7daf04c2892, 0x9b54c2e4c8a9012b + data8 0x9b77854e6c661200, 0x9b8ec2e678d56d2f + data8 0x9ba60e6a5ca133b6, 0x9bc919ea66a151a4 + data8 0x9be0887c09ef82bb, 0x9c03c8d5fffc3503 + data8 0x9c1b5ad21a81cbb9, 0x9c3ed09216e9ca02 + data8 0x9c568656c0423def, 0x9c7a320af242ce60 + data8 0x9c920bf7a8c01dc2, 0x9ca9f475d98b159c + data8 0x9ccdeca60e80b5f8, 0x9ce5f9d4653d4902 + data8 0x9cfe15cb38bfdd8e, 0x9d225b983f6c1f96 + data8 0x9d3a9cca32261ed7, 0x9d52ecfccebe1768 + data8 0x9d77818d95b82f86, 0x9d8ff7893fa4706c + data8 0x9da87cbef36f2a5e, 0x9dcd6140b4a35aeb + data8 0x9de60cd06dc6e2d4, 0x9dfec7d4cc43b76f + data8 0x9e17925ec9fccc4a, 0x9e3cdf6db57dc075 + data8 0x9e55d110b63637a8, 0x9e6ed27594550d2e + data8 0x9e87e3adc385d393, 0x9ead9b54b37a1055 + data8 0x9ec6d46a3d7de215, 0x9ee01d9108be3154 + data8 0x9ef976db07288d04, 0x9f12e05a4759ec25 + data8 0x9f2c5a20f4da6668, 0x9f52af78ed1733ca + data8 0x9f6c52426a39d003, 0x9f860593d42fd7f3 + data8 0x9f9fc97fdb96bd51, 0x9fb99e194f4a7037 + data8 0x9fd383731ca51db9, 0x9fed79a04fbf9423 + data8 0xa00780b413b24ee8, 0xa02eab2c4474b0cd + data8 0xa048dcd51ccfd142, 0xa0631fa894b11b8d + data8 0xa07d73ba65e680af, 0xa097d91e6aaf71b0 + data8 0xa0b24fe89e02602f, 0xa0ccd82d1bd2f68b + data8 0xa0e77200215909e6, 0xa1021d760d584855 + data8 0xa11cdaa36068a57d, 0xa137a99cbd3f880b + data8 0xa160019ed37fb4ae, 0xa1960b5966da4608 + data8 0xa1cc5dbe6dc2aab4, 0xa202f97995b69c0d + data8 0xa232fe6eb0c0577d, 0xa26a2582012f6e17 + data8 0xa2a197e5d10465cb, 0xa2d25a532efefbc8 + data8 0xa30a5bd6e49e4ab8, 0xa33b9c9b59879e24 + data8 0xa3742fca6a3c1f21, 0xa3a5f1273887bf22 + data8 0xa3d7ef508ff11574, 0xa4115ce30548bc15 + data8 0xa443df0e53df577a, 0xa4769fa5913c0ec3 + data8 0xa4a99f303bc7def5, 0xa4dcde37779adf4b + data8 0xa5105d46152c938a, 0xa5441ce89825cb8d + data8 0xa5781dad3e54d899, 0xa5ac602406c4e68c + data8 0xa5d9601d95c2c0bc, 0xa60e1e1a2de14745 + data8 0xa6431f6e3fbd9658, 0xa67864b0d432fda4 + data8 0xa6a6444aa0243c0b, 0xa6dc094d10f25792 + data8 0xa70a574cc02bba69, 0xa7409e2af9549084 + data8 0xa76f5c64ca2cf13b, 0xa79e4f0babab5dc0 + data8 0xa7d5579ae5164b85, 0xa804bd3c6fe61cc8 + data8 0xa8345895e5250a5a, 0xa8642a122b44ef0b + data8 0xa89c38ca18f6108b, 0xa8cc81063b6e87ca + data8 0xa8fd00bfa409285e, 0xa92db8664d5516da + data8 0xa95ea86b75cc2c20, 0xa98fd141a4992deb + data8 0xa9c1335cae7446ba, 0xa9ea8686f556f645 + 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 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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 r3=f8 - // will continue only for normal/denormal numbers -(p0) fclass.nm.unc p12,p7 = f8, 0x1b - // r2 = pointer to C_1...C_6 followed by T_table - addl r2 = @ltoff(poly_coeffs), gp;; + 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 - // r29=2/3*bias -63=0xaaaa-0x3f=0xaa6b - mov r29=0xaa6b - // normalize a - fma.s1 f14=f8,f1,f0 - // r27 = pointer to D table - addl r27 = @ltoff(D_table), 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 } -{.mib - nop.m 0 - (p7) cmp.eq p12,p0=r3,r0 - nop.b 0;; +;; + +{ .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 } -{.mfb - // load start address for C_1...C_6 followed by T_table - ld8 r2=[r2] - (p12) fma.s0 f8=f8,f1,f0 - (p12) br.ret.spnt b0;; +;; + +{ .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 } -{.mmf - // load C_1 - ldfe f7=[r2],16 - // load start address of D table - ld8 r27=[r27] - // y=frcpa(a) - frcpa.s0 f8,p6=f1,f8;; +;; + +{ .mii + // load C_1 + ldfe FR_C1 = [ GR_C_START ], 16 + mov GR_SGNMASK = 0x20000 + nop.i 0 } -{.mmi - // load C_2 - ldfe f9=[r2],16;; - // load C_3, C_4 - ldfpd f10,f11=[r2],16 - 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 } -{.mmi - // get normalized significand - getf.sig r23=f14 - // get exponent - getf.exp r24=f14 - mov r25=0x20000;; +;; + +{ .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 } -{.mii - // get r26=sign - and r26=r24,r25 - // eliminate leading 1 from r23=2nd table index - shl r23=r23,1 - // eliminate sign from exponent (r25) - andcm r25=r24,r25;; +;; + +{ .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 } -{.mfi - // load C_5,C_6 - (p6) ldfpd f12,f13=[r2],16 - // r=1-a*y - (p6) fnma.s1 f6=f8,f14,f1 - // 1: exponent*=5; // (2^{16}-1)/3=0x5555 - shladd r24=r25,2,r25;; +;; + +{ .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 } -{.mib - // r30=(5*expon)*16 - shladd r30=r24,4,r0 - // r28=3*exponent - shladd r28=r25,1,r25 - 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 - // r28=6*exponent - shladd r28=r28,1,r0 - // r24=17*expon - add r24=r24,r30 - // r23=2nd table index (8 bits) - shr.u r23=r23,56;; +;; + +{ .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 - // adjust T_table pointer by 2nd index - shladd r2=r23,3,r2 - // adjust D_table pointer by 2nd index - shladd r27=r23,2,r27 - // r30=(17*expon)*16^2 - shl r30=r24,8;; +;; + +{ .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 } -{.mmi - // r24=expon*(2^16-1)/3 - add r24=r24,r30;; - // r24=expon*(2^20+2)/3=expon*0x55556 - shladd r24=r24,4,r28 - nop.i 0;; +;; + +{ .mii + nop.m 0 + // GR_EXP_RES = floor(expon/3) + shr.u GR_EXP_RES = GR_TMP4, 20 + nop.i 0 } -{.mii - nop.m 0 - // r24=floor(expon/3) - shr.u r24=r24,20 - 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 - nop.m 0 - // r28=3*exponent - shladd r28=r24,1,r24 - // bias exponent - add r24=r29,r24;; +;; + +{ .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 } -{.mmi - // get remainder of exponent/3 - sub r25=r25,r28;; - // add sign to exponent - or r24=r24,r26 - // remainder <<=8 - shl r25=r25,8;; -} -{.mfi - // adjust D_table pointer by 1st index - shladd r27=r25,2,r27 - // P_1=C_1+C_2*r - (p6) fma.s1 f7=f9,f6,f7 - // adjust T_table pointer by 1st index - shladd r2=r25,3,r2 +;; + +{ .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 - // f14=sign*2^{exponent/3} - (p6) setf.exp f14=r24 - // r2=r*r - (p6) fma.s1 f9=f6,f6,f0 - nop.i 0;; +{ .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 f15=[r27] - // P_2=C_3+C_4*r - (p6) fma.s1 f10=f11,f6,f10 - 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 f8=[r2] - // P_3=C_5+C_6*r - (p6) fma.s1 f12=f13,f6,f12 - 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 f15=f6,f7,f15 - 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 - // r3=r*r2 - (p6) fma.s1 f6=f6,f9,f0 - 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 f10=f9,f12,f10 - 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 f8=f8,f14,f0 - 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 f6=f6,f10,f15 - 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=f8,f6,f8 - br.ret.sptk b0;; +;; + +{ .mfb + nop.m 0 + // result = T+T*p + (p6) fma.s0 f8 = FR_TF, FR_P, FR_TF + br.ret.sptk b0 } -.endp cbrtl -ASM_SIZE_DIRECTIVE(cbrtl) +;; + +GLOBAL_LIBM_END(cbrtl) + + |