diff options
Diffstat (limited to 'sysdeps/ia64/fpu/s_cbrtl.S')
| -rw-r--r-- | sysdeps/ia64/fpu/s_cbrtl.S | 889 |
1 files changed, 889 insertions, 0 deletions
diff --git a/sysdeps/ia64/fpu/s_cbrtl.S b/sysdeps/ia64/fpu/s_cbrtl.S new file mode 100644 index 0000000000..c44ecf7065 --- /dev/null +++ b/sysdeps/ia64/fpu/s_cbrtl.S @@ -0,0 +1,889 @@ +.file "cbrtl.asm" + +// Copyright (c) 2000, 2001, 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. +// +// WARRANTY DISCLAIMER +// +// 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 +// 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 +// 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. +// +// 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. +// +// History +//============================================================== +// 4/28/00: Initial version +// +// API +//============================================================== +// long double cbrtl(long double) +// +// Overview of operation +//============================================================== +// Background +// +// Implementation +// +// cbrt(a) = cbrt(a y) / cbrt(y) +// = cbrt(1 - (1 - a y)) * 1/cbrt(y) +// +// where y = frcpa(a). +// +// * 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: +// +// T_hi (1 + D) = 1/cbrt(y) to about 80 bits of accuracy +// +// 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: +// +// T = 2^(e/3) * T_hi + + + + + +//=============== +// input = x +// C = frcpa(x) +// r = C * x - 1 +// +// Special values +//============================================================== + + + +// Registers used +//============================================================== +// f6-f15 +// r2-r3, r23-r30 +// p6,p7,p12 + +#include "libm_support.h" + +// Data tables +//============================================================== + +#ifdef _LIBC +.rodata +#else +.data +#endif + +.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, 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, 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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# + +.section .text +.proc cbrtl# +.align 32 +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;; +} +{.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;; +} +{.mib + nop.m 0 + (p7) cmp.eq p12,p0=r3,r0 + nop.b 0;; +} +{.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;; +} +{.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;; +} +{.mmi + // load C_2 + ldfe f9=[r2],16;; + // load C_3, C_4 + ldfpd f10,f11=[r2],16 + nop.i 0;; +} +{.mmi + // get normalized significand + getf.sig r23=f14 + // get exponent + getf.exp r24=f14 + mov r25=0x20000;; +} +{.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 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 + // r30=(5*expon)*16 + shladd r30=r24,4,r0 + // r28=3*exponent + shladd r28=r25,1,r25 + nop.b 0;; +} +{.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 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 + // 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 + // r24=floor(expon/3) + shr.u r24=r24,20 + nop.i 0;; +} +{.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 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 + // f14=sign*2^{exponent/3} + (p6) setf.exp f14=r24 + // r2=r*r + (p6) fma.s1 f9=f6,f6,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 T + (p6) ldf8 f8=[r2] + // P_3=C_5+C_6*r + (p6) fma.s1 f12=f13,f6,f12 + 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 + // r3=r*r2 + (p6) fma.s1 f6=f6,f9,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 + // T=T*(sign*2^{exponent/3}) + (p6) fma.s1 f8=f8,f14,f0 + nop.i 0 +} +{.mfi + nop.m 0 + // P=P_4-r3*P_5 + (p6) fnma.s1 f6=f6,f10,f15 + nop.i 0;; +} +{.mfb + nop.m 0 + // result=T+T*p + (p6) fma.s0 f8=f8,f6,f8 + br.ret.sptk b0;; +} +.endp cbrtl +ASM_SIZE_DIRECTIVE(cbrtl) |