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-rw-r--r--sysdeps/ia64/fpu/s_cbrtf.S1227
1 files changed, 565 insertions, 662 deletions
diff --git a/sysdeps/ia64/fpu/s_cbrtf.S b/sysdeps/ia64/fpu/s_cbrtf.S
index 612fb85ea3..20167797b8 100644
--- a/sysdeps/ia64/fpu/s_cbrtf.S
+++ b/sysdeps/ia64/fpu/s_cbrtf.S
@@ -1,10 +1,11 @@
-.file "cbrtf.s"
+.file "cbrtf.asm"
-
-// Copyright (c) 2000 - 2003, Intel Corporation
+// Copyright (C) 2000, 2001, Intel Corporation
// All rights reserved.
-//
-// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// 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.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
@@ -20,30 +21,27 @@
// * 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://www.intel.com/software/products/opensource/libraries/num.htm.
+// problem reports or change requests be submitted to it directly at
+// http://developer.intel.com/opensource.
//
// History
//==============================================================
-// 02/02/00 Initial version
-// 05/18/00 New version (modified algorithm)
-// 05/20/02 Cleaned up namespace and sf0 syntax
-// 01/28/03 Rescheduled some instructions for better performance
-// on Itanium 2, and reformatted
+// 2/02/00: Initial version
+// 5/18/00: New version (modified algorithm)
//
// API
//==============================================================
@@ -55,711 +53,616 @@
//
// Implementation
//
-// Let y= frcpa(a), where a is the argument
+// cbrt(a) = cbrt(a y) / cbrt(y)
+// = cbrt(1 - (1 - a y)) * 1/cbrt(y)
//
-// cbrt(a)= cbrt(a*y)/cbrt(y) = cbrt(1 - (1-a*y)) * (1/cbrt(y))
+// where y = frcpa(a).
//
-// For all values of y, the 3 possible significands of 1/cbrt(y)
-// are stored in a table (T0) to 64 bits of accuracy. (There are
-// 3 possible significands because the exponent of y modulo 3
-// can be 0, 1, or 2.)
+// * cbrt(1 - (1 - a y)) is approximated by a degree-2 polynomial
+//
+// 1 - (1/3)*r - (1/9)*r^2
+//
+// in r = 1 - a y.
//
-//
-// * cbrt(1 - (1-a*y)) is approximated by a degree-2 polynomial
-//
-// 1 - (1/3)*r - (1/9)*r^2
-//
-// in r = 1-a*y.
+// * The values 1/cbrt(y) are stored in a table of constants T0
+// to 64 bits of accuracy
//
// The table values are stored for three exponent values and are
-// then multiplied by 2^(e/3) where e is the exponent of the input number.
+// 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) * T0
+// T = 2^(e/3) * T0
//===============
-// input= x
-// C= frcpa(x)
-// r= 1 - C * x
+// input = x
+// C = frcpa(x)
+// r = 1 - C * x
//
-// Special values
+// Special values
//==============================================================
// Registers used
//==============================================================
-// p6, p7, p8, p12
-
- FR_R = f6
- FR_COEFF1 = f7
- FR_COEFF2 = f9
- FR_T0 = f10
- FR_T1 = f11
- FR_T2 = f12
- FR_2M63 = f13
- FR_ARG = f14
- FR_Y = f15
-
- GR_GP = r2
- GR_ADDR = r2
- GR_TMP5 = r3
- GR_CONST = r8
- GR_TMP63 = r8
- GR_SIGN = r9
- GR_CT2 = r10
- GR_CT3 = r11
- GR_TMP4 = r14
- GR_EBIAS3 = r15
- GR_REM = r16
- GR_SEXP = r17
- GR_2P63 = r18
- GR_SIGNIF = r19
- GR_I1 = r20
- GR_EBIAS = r21
- GR_EXP = r22
- GR_IT1 = r23
- GR_E5 = r24
- GR_IT1_3 = r25
- GR_TP1 = r26
- GR_TMP = r27
- GR_TMP2 = r28
- GR_TMP3 = r29
- GR_EXP3 = r30
- GR_ARGEXP = r31
-
-
+// f6-f15
+// r2, r23-r26, r28-r30
+// p6,p7,p8,p12
+#include "libm_support.h"
// Data tables
//==============================================================
-RODATA
+#ifdef _LIBC
+.rodata
+#else
+.data
+#endif
.align 16
-LOCAL_OBJECT_START(poly_coeffs)
-
- data8 0xaaaab19b7e1f5ef9, 0x00003ffd // ~ 1/3
- data8 0xe38e5192a5a8e56c, 0x00003ffb // ~ 1/9
-LOCAL_OBJECT_END(poly_coeffs)
-
-// For every entry B in the frcpa table, this table contains
-// the significands of cbrt(1/B), cbrt(2/B), cbrt(4/B).
-// The index to this table is the same as the frcpa index.
-
-LOCAL_OBJECT_START(T_table)
-
- data8 0x80155c748c374836, 0xa160019ed37fb4ae
- data8 0xcb51ddcb9e93095e, 0x8040404b0879f7f9
- data8 0xa1960b5966da4608, 0xcb95f333968ad59b
- data8 0x806b5dce4b405c10, 0xa1cc5dbe6dc2aab4
- data8 0xcbda64292d3ffd97, 0x8096b586974669b1
- data8 0xa202f97995b69c0d, 0xcc1f3184af961596
- data8 0x80bcd273d952a028, 0xa232fe6eb0c0577d
- data8 0xcc5bb1ac954d33e2, 0x80e898c52813f2f3
- data8 0xa26a2582012f6e17, 0xcca12e9831fc6402
- data8 0x81149add67c2d208, 0xa2a197e5d10465cb
- data8 0xcce70a67b64f24ad, 0x813b4e2c856b6e9a
- data8 0xa2d25a532efefbc8, 0xcd24794726477ea5
- data8 0x8167c1dde03de7aa, 0xa30a5bd6e49e4ab8
- data8 0xcd6b096a0b70ee87, 0x818ed973b811135e
- data8 0xa33b9c9b59879e24, 0xcda9177738b15a90
- data8 0x81bbc0c33e13ec98, 0xa3742fca6a3c1f21
- data8 0xcdf05f2247dffab9, 0x81e33e69fbe7504a
- data8 0xa3a5f1273887bf22, 0xce2f0f347f96f906
- data8 0x820aec524e3c23e9, 0xa3d7ef508ff11574
- data8 0xce6e0be0cd551a61, 0x823880f78e70b805
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- data8 0xcef609b0cb874f00, 0x8288dfe00e9b5eaf
- data8 0xa4769fa5913c0ec3, 0xcf35fb5447e5c765
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- data8 0xaeb3bc4ccc56d3d1, 0xdc1c60376789fa68
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- data8 0xdc56cacda82d0cd5, 0x8af301688ab33558
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- data8 0x8e69ba46cf2fde4d, 0xb36ddbc5ea70ec55
- data8 0xe2110903b4f4047a, 0x8e8a7a00bd7ae63e
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- data8 0xb43da8e9d163e1af, 0xe316d93615862714
- data8 0x8f385c95d696b817, 0xb47233773b84d425
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- data8 0x9354c71412c69486, 0xb9a0297f172665e3
- data8 0xe9dfa70b745ac1b4, 0x937a4c273907e262
- data8 0xb9cf6f21e36c3924, 0xea1b36268d0eaa38
- data8 0x93968919f6e7975d, 0xb9f3030951267208
- data8 0xea480963fd394197, 0x93bc516fdd4680c9
- data8 0xba229d6a618e7c59, 0xea84034425f27484
- data8 0x93d8c123d9be59b2, 0xba467144459f9855
- data8 0xeab12713138dd1cc, 0x93f546c955e60076
- data8 0xba6a60c3c48f1a4b, 0xeade6db73a5e503b
- data8 0x941b70a65879079f, 0xba9a76056b67ee7a
- data8 0xeb1b0268343b121b, 0x943829f337410591
- data8 0xbabea699563ada6e, 0xeb489b0b2bdb5f14
- data8 0x9454f995765bc4d2, 0xbae2f350b262cc4b
- data8 0xeb765721e85f03d0, 0x947b86b57f5842ed
- data8 0xbb1385a23be24e57, 0xebb389645f222f62
- data8 0x94988aeb23470f86, 0xbb3814975e17c680
- data8 0xebe198f090607e0c, 0x94b5a5dc9695f42a
- data8 0xbb5cc031009bf467, 0xec0fcc9321024509
- data8 0x94d2d7a9170d8b42, 0xbb81889680024764
- data8 0xec3e247da8b82f61, 0x94f9e87dd78bf019
- data8 0xbbb2c0d8703ae95d, 0xec7c27d21321c9f7
- data8 0x95175019a503d89e, 0xbbd7cd09ba3c5463
- data8 0xecaad5278824e453, 0x9534cefa625fcb3a
- data8 0xbbfcf68c4977718f, 0xecd9a76d097d4e77
- data8 0x955265405c491a25, 0xbc223d88cfc88eee
- data8 0xed089ed5dcd99446, 0x9570130c1f9bb857
- data8 0xbc47a2284fee4ff8, 0xed37bb95add09a1c
- data8 0x9597ca4119525184, 0xbc79ac0916ed7b8a
- data8 0xed76c70508f904b6, 0x95b5af6fb5aa4d3c
- data8 0xbc9f5670d1a13030, 0xeda63bb05e7f93c6
- data8 0x95d3ac9273aafd7a, 0xbcc51f068cb95c1d
- data8 0xedd5d661daed2dc4, 0x95f1c1cafdfd3684
- data8 0xbceb05f4b30a9bc0, 0xee05974eef86b903
- data8 0x960fef3b430b8d5f, 0xbd110b6604c7d306
- data8 0xee357ead791fc670, 0x962e350575b409c5
- data8 0xbd372f8598620f19, 0xee658cb3c134a463
- data8 0x964c934c0dfc1708, 0xbd5d727edb6b3c7e
- data8 0xee95c1987f080211, 0x966b0a31c9c6bc7d
- data8 0xbd83d47d937bbc6d, 0xeec61d92d8c4314f
- data8 0x968999d9ad8d264e, 0xbdaa55addf1ae47d
- data8 0xeef6a0da64a014ac, 0x96a8426705198795
- data8 0xbdd0f63c36aa73f0, 0xef274ba72a07c811
- data8 0x96c703fd64445ee5, 0xbdf7b6556d550a15
- data8 0xef581e31a2c91260, 0x96e5dec0a7b4268d
- data8 0xbe1e9626b1ffa96b, 0xef8918b2bc43aec6
- data8 0x9704d2d4f59f79f3, 0xbe4595dd903e5371
- data8 0xefba3b63d89d7cbf, 0x9723e05ebe91b9b0
- data8 0xbe6cb5a7f14bc935, 0xefeb867ecffaa607
- data8 0x97430782be323831, 0xbe93f5b41d047cf7
- data8 0xf01cfa3df1b9c9fa, 0x97624865fc0df8bf
- data8 0xbebb5630bae4c15f, 0xf04e96dc05b43e2d
- data8 0x9781a32dcc640b2a, 0xbee2d74cd30a430c
- data8 0xf0805c944d827454, 0x97a117ffd0f48e46
- data8 0xbf0a7937cf38d981, 0xf0b24ba285c495cb
- data8 0x97c0a701f9d263c9, 0xbf323c217be2bc8c
- data8 0xf0e46442e76f6569, 0x97e0505a8637a036
- data8 0xbf5a203a09342bbb, 0xf116a6b2291d7896
- data8 0x97f57a9fb0b08c6e, 0xbf74cad1c14ebfc4
- data8 0xf1383fa9e9b5b381, 0x9815503365914a9d
- data8 0xbf9ce6a497a89f78, 0xf16ac84f90083b9b
- data8 0x98354085054fd204, 0xbfc52428bec6e72f
- data8 0xf19d7b686dcb03d7, 0x98554bbbf8a77902
- data8 0xbfed838fddab024b, 0xf1d0593311db1757
- data8 0x987571fffb7f94f6, 0xc016050c0420981a
- data8 0xf20361ee8f1c711e, 0x9895b3791dd03c23
- data8 0xc03ea8cfabddc330, 0xf23695da7de51d3f
- data8 0x98ab43a5fc65d0c8, 0xc059d3cbd65ddbce
- data8 0xf258d095e465cc35, 0x98cbb2d196bd713d
- data8 0xc082b122a3c78c9d, 0xf28c4d0bfc982b34
- data8 0x98ec3d9ec7b6f21a, 0xc0abb1499ae736c4
- data8 0xf2bff55eb3f0ea71, 0x990ce436db5e8344
- data8 0xc0d4d474c3aedaaf, 0xf2f3c9cf9884636e
- data8 0x9922b8218160967a, 0xc0f054ca33eb3437
- data8 0xf31670135ab9cc0f, 0x99438d686f75779d
- data8 0xc119b2c67e600ed0, 0xf34a8e9f0b54cdfb
- data8 0x99647eea131fa20b, 0xc1433453de2033ff
- data8 0xf37ed9fa6b8add3f, 0x997a85045a47c6d0
- data8 0xc15ef3e44e10032d, 0xf3a1cfe884ef6bb6
- data8 0x999ba5f14f8add02, 0xc188b130431d80e6
- data8 0xf3d66689dcc8e8d3, 0x99bce38b5465ecae
- data8 0xc1b2929d6067730e, 0xf40b2ab069d5c96a
- data8 0x99d31ca0887f30f9, 0xc1ce9268f31cc734
- data8 0xf42e718b90c8bc16, 0x99f48a669c74c09e
- data8 0xc1f8b0877c1b0c08, 0xf463822a0a3b4b00
- data8 0x9a16154eb445c873, 0xc222f35a87b415ba
- data8 0xf498c1076015faf8, 0x9a2c822ec198d667
- data8 0xc23f3467349e5c88, 0xf4bc5a19a33990b5
- data8 0x9a4e3e080cd91b78, 0xc269b4e40e088c01
- data8 0xf4f1e6a7d6f5425f, 0x9a70177afe52322e
- data8 0xc2945aac24daaf6e, 0xf527a232cf6be334
- data8 0x9a86b8fa94eebe10, 0xc2b0de05e43c1d66
- data8 0xf54b8ecdcda90851, 0x9aa8c42866ae2958
- data8 0xc2dbc275e1229d09, 0xf5819949c7ad87b4
- data8 0x9abf86f9e12fc45e, 0xc2f86fca9d80eeff
- data8 0xf5a5bac9213b48a9, 0x9ae1c462fc05f49d
- data8 0xc323938449a2587e, 0xf5dc1501f324a812
- data8 0x9af8a8dc936b84d0, 0xc3406b40a538ed20
- data8 0xf6006bee86b5589e, 0x9b1b19033be35730
- data8 0xc36bcee8211d15e0, 0xf63716b2fa067fa4
- data8 0x9b3da7daf04c2892, 0xc397593adf2ba366
- data8 0xf66df22fb6132b9c, 0x9b54c2e4c8a9012b
- data8 0xc3b475b6206155d5, 0xf6929fb98225deb1
- data8 0x9b77854e6c661200, 0xc3e0410243b97383
- data8 0xf6c9cd13021e3fea, 0x9b8ec2e678d56d2f
- data8 0xc3fd890709833d37, 0xf6eeb177472cedae
- data8 0x9ba60e6a5ca133b6, 0xc41ae295f7e7fa06
- data8 0xf713abf4cb0b3afb, 0x9bc919ea66a151a4
- data8 0xc44709f7bb8a4dd2, 0xf74b4d5333684ef1
- data8 0x9be0887c09ef82bb, 0xc4648fb0e0bec4c1
- data8 0xf7707f75a72f8e94, 0x9c03c8d5fffc3503
- data8 0xc490f9a94695ba14, 0xf7a874b97927af44
- data8 0x9c1b5ad21a81cbb9, 0xc4aeac0173b7d390
- data8 0xf7cddf140aedf1d8, 0x9c3ed09216e9ca02
- data8 0xc4db5941007aa853, 0xf806291bacb7f7a9
- data8 0x9c568656c0423def, 0xc4f938aec206291a
- data8 0xf82bcc43b92eafef, 0x9c7a320af242ce60
- data8 0xc52629e899dfd622, 0xf8646bf0defb759e
- data8 0x9c920bf7a8c01dc2, 0xc54436e44043b965
- data8 0xf88a487dfc3ff5f7, 0x9ca9f475d98b159c
- data8 0xc562563abf9ea07f, 0xf8b03c2b46cdc17f
- data8 0x9ccdeca60e80b5f8, 0xc58fa7d1dc42921c
- data8 0xf8e95541c152ae7a, 0x9ce5f9d4653d4902
- data8 0xc5adf561b91e110a, 0xf90f832c2700c160
- data8 0x9cfe15cb38bfdd8e, 0xc5cc5591bdbd82fa
- data8 0xf935c88e0c7f419b, 0x9d225b983f6c1f96
- data8 0xc5fa08f1ff20593c, 0xf96f5cd84fd86873
- data8 0x9d3a9cca32261ed7, 0xc618980a79ce6862
- data8 0xf995dd53ebdd9d6d, 0x9d52ecfccebe1768
- data8 0xc6373a09e34b50fa, 0xf9bc75a034436a41
- data8 0x9d77818d95b82f86, 0xc66550a6e0baaf35
- data8 0xf9f686f26d5518de, 0x9d8ff7893fa4706c
- data8 0xc6842241926342c9, 0xfa1d5b39b910a8c5
- data8 0x9da87cbef36f2a5e, 0xc6a3070b7c93bb9e
- data8 0xfa4447acc4ecbfd2, 0x9dcd6140b4a35aeb
- data8 0xc6d18260bb84081b, 0xfa7ed7e51e6fdfb4
- data8 0x9de60cd06dc6e2d4, 0xc6f0977c9416828b
- data8 0xfaa601394d49a1a0, 0x9dfec7d4cc43b76f
- data8 0xc70fc0117c641630, 0xfacd431644ce0e40
- data8 0x9e17925ec9fccc4a, 0xc72efc34d7e615be
- data8 0xfaf49d96f7a75909, 0x9e3cdf6db57dc075
- data8 0xc75dfb441594141e, 0xfb2fd3c65e562fd5
- data8 0x9e55d110b63637a8, 0xc77d68aa019bda4c
- data8 0xfb576c5762024805, 0x9e6ed27594550d2e
- data8 0xc79ce9ea478dbc4f, 0xfb7f1debc22c4040
- data8 0x9e87e3adc385d393, 0xc7bc7f1ae453219d
- data8 0xfba6e89f32d0190a, 0x9ead9b54b37a1055
- data8 0xc7ec0476e15e141a, 0xfbe2c803a0894893
- data8 0x9ec6d46a3d7de215, 0xc80bcbe16f1d540f
- data8 0xfc0ad1ff0ed9ecf0, 0x9ee01d9108be3154
- data8 0xc82ba78a5d349735, 0xfc32f57bdfbcbe7f
- data8 0x9ef976db07288d04, 0xc84b978847a06b87
- data8 0xfc5b32968f99b21c, 0x9f12e05a4759ec25
- data8 0xc86b9bf1ee817bc6, 0xfc83896bc861ab08
- data8 0x9f2c5a20f4da6668, 0xc88bb4de3667cdf4
- data8 0xfcabfa1861ed4815, 0x9f52af78ed1733ca
- data8 0xc8bc00e7fe9e23a3, 0xfce8d3cea7d3163e
- data8 0x9f6c52426a39d003, 0xc8dc4d7ff2d25232
- data8 0xfd118595143ee273, 0x9f860593d42fd7f3
- data8 0xc8fcaeebcb40eb47, 0xfd3a519943d4865a
- data8 0x9f9fc97fdb96bd51, 0xc91d25431426a663
- data8 0xfd6337f8e1ae5a4b, 0x9fb99e194f4a7037
- data8 0xc93db09d7fdb2949, 0xfd8c38d1c8e927eb
- data8 0x9fd383731ca51db9, 0xc95e5112e721582a
- data8 0xfdb5544205095a53, 0x9fed79a04fbf9423
- data8 0xc97f06bb49787677, 0xfdde8a67d2613531
- data8 0xa00780b413b24ee8, 0xc99fd1aecd6e1b06
- data8 0xfe07db619e781611, 0xa02eab2c4474b0cd
- data8 0xc9d12a3e27bb1625, 0xfe460768d80bf758
- data8 0xa048dcd51ccfd142, 0xc9f22ad82ba3d5f0
- data8 0xfe6f9bfb06cd32f6, 0xa0631fa894b11b8d
- data8 0xca134113105e67b2, 0xfe994bcd3d14fcc2
- data8 0xa07d73ba65e680af, 0xca346d07b045a876
- data8 0xfec316fecaf3f2ab, 0xa097d91e6aaf71b0
- data8 0xca55aecf0e94bb88, 0xfeecfdaf33fadb80
- data8 0xa0b24fe89e02602f, 0xca77068257be9bab
- data8 0xff16fffe2fa8fad6, 0xa0ccd82d1bd2f68b
- data8 0xca98743ae1c693a8, 0xff411e0ba9db886d
- data8 0xa0e77200215909e6, 0xcab9f8122c99a101
- data8 0xff6b57f7c33e4e9a, 0xa1021d760d584855
- data8 0xcadb9221e268c3b5, 0xff95ade2d1bd7358
- data8 0xa11cdaa36068a57d, 0xcafd4283d8043dfd
- data8 0xffc01fed60f86fb5, 0xa137a99cbd3f880b
- data8 0xcb1f09520d37c6fb, 0xffeaae3832b63956
-LOCAL_OBJECT_END(T_table)
-
-
-
-
-
-
+poly_coeffs:
+ASM_TYPE_DIRECTIVE(poly_coeffs,@object)
+data8 0xaaaaaaaaaaaaaaab, 0x00003ffd // 1/3
+data8 0xe38e38e38e38e38e, 0x00003ffb // 1/9
+ASM_SIZE_DIRECTIVE(poly_coeffs)
+
+
+T_table:
+ASM_TYPE_DIRECTIVE(T_table,@object)
+
+data8 0x80155c748c374836, 0xa160019ed37fb4ae
+data8 0xcb51ddcb9e93095e, 0x8040404b0879f7f9
+data8 0xa1960b5966da4608, 0xcb95f333968ad59b
+data8 0x806b5dce4b405c10, 0xa1cc5dbe6dc2aab4
+data8 0xcbda64292d3ffd97, 0x8096b586974669b1
+data8 0xa202f97995b69c0d, 0xcc1f3184af961596
+data8 0x80bcd273d952a028, 0xa232fe6eb0c0577d
+data8 0xcc5bb1ac954d33e2, 0x80e898c52813f2f3
+data8 0xa26a2582012f6e17, 0xcca12e9831fc6402
+data8 0x81149add67c2d208, 0xa2a197e5d10465cb
+data8 0xcce70a67b64f24ad, 0x813b4e2c856b6e9a
+data8 0xa2d25a532efefbc8, 0xcd24794726477ea5
+data8 0x8167c1dde03de7aa, 0xa30a5bd6e49e4ab8
+data8 0xcd6b096a0b70ee87, 0x818ed973b811135e
+data8 0xa33b9c9b59879e24, 0xcda9177738b15a90
+data8 0x81bbc0c33e13ec98, 0xa3742fca6a3c1f21
+data8 0xcdf05f2247dffab9, 0x81e33e69fbe7504a
+data8 0xa3a5f1273887bf22, 0xce2f0f347f96f906
+data8 0x820aec524e3c23e9, 0xa3d7ef508ff11574
+data8 0xce6e0be0cd551a61, 0x823880f78e70b805
+data8 0xa4115ce30548bc15, 0xceb666b2c347d1de
+data8 0x826097a62a8e5200, 0xa443df0e53df577a
+data8 0xcef609b0cb874f00, 0x8288dfe00e9b5eaf
+data8 0xa4769fa5913c0ec3, 0xcf35fb5447e5c765
+data8 0x82b15a10c5371624, 0xa4a99f303bc7def5
+data8 0xcf763c47ee869f00, 0x82da06a527b18937
+data8 0xa4dcde37779adf4b, 0xcfb6cd3888d71785
+data8 0x8302e60b635ab394, 0xa5105d46152c938a
+data8 0xcff7aed4fbfbb447, 0x832bf8b2feec2f0e
+data8 0xa5441ce89825cb8d, 0xd038e1ce5167e3c6
+data8 0x83553f0ce00e276b, 0xa5781dad3e54d899
+data8 0xd07a66d7bfa0ebba, 0x837eb98b50f8322a
+data8 0xa5ac602406c4e68c, 0xd0bc3ea6b32d1b21
+data8 0x83a270f44c84f699, 0xa5d9601d95c2c0bc
+data8 0xd0f4f0e8f36c1bf8, 0x83cc4d7cfcfac5ca
+data8 0xa60e1e1a2de14745, 0xd1376458e34b037e
+data8 0x83f65f78a8872b4c, 0xa6431f6e3fbd9658
+data8 0xd17a2ca133f78572, 0x8420a75f2f7b53c8
+data8 0xa67864b0d432fda4, 0xd1bd4a80301c5715
+data8 0x844510461ff14209, 0xa6a6444aa0243c0b
+data8 0xd1f71682b2fa4575, 0x846fbd91b930bed2
+data8 0xa6dc094d10f25792, 0xd23ad555f773f059
+data8 0x84947e18234f3294, 0xa70a574cc02bba69
+data8 0xd2752c7039a5bf73, 0x84bf92755825045a
+data8 0xa7409e2af9549084, 0xd2b98ee008c06b59
+data8 0x84e4ac0ee112ba51, 0xa76f5c64ca2cf13b
+data8 0xd2f4735ffd700280, 0x8509ef44b86f20be
+data8 0xa79e4f0babab5dc0, 0xd32f99ed6d9ac0e1
+data8 0x85359d5d91768427, 0xa7d5579ae5164b85
+data8 0xd374f0666c75d51c, 0x855b3bd5b7384357
+data8 0xa804bd3c6fe61cc8, 0xd3b0a7d13618e4a1
+data8 0x858104f0c415f79a, 0xa8345895e5250a5a
+data8 0xd3eca2ea53bcec0c, 0x85a6f90390d29864
+data8 0xa8642a122b44ef0b, 0xd428e23874f13a17
+data8 0x85d3772fcd56a1dd, 0xa89c38ca18f6108b
+data8 0xd46f82fe293bc6d3, 0x85f9c982fcc002f3
+data8 0xa8cc81063b6e87ca, 0xd4ac57e9b7186420
+data8 0x862047e0e7ea554b, 0xa8fd00bfa409285e
+data8 0xd4e972becb04e8b8, 0x8646f2a26f7f5852
+data8 0xa92db8664d5516da, 0xd526d40a7a9b43a3
+data8 0x866dca21754096b5, 0xa95ea86b75cc2c20
+data8 0xd5647c5b73917370, 0x8694ceb8dfd17a37
+data8 0xa98fd141a4992deb, 0xd5a26c4201bd6d13
+data8 0x86bc00c49e9307e8, 0xa9c1335cae7446ba
+data8 0xd5e0a45015350a7e, 0x86dccd74fce79610
+data8 0xa9ea8686f556f645, 0xd614b539c6194104
+data8 0x870453c845acf90f, 0xaa1c52d17906bb19
+data8 0xd6537310e224283f, 0x872c089a1e90342c
+data8 0xaa4e59b046dab887, 0xd6927ab62244c917
+data8 0x8753ec4a92d16c5e, 0xaa809b9c60d1890b
+data8 0xd6d1ccc1fc4ef4b7, 0x877bff3aca19f6b4
+data8 0xaab319102f3f9b33, 0xd71169cea98fdded
+data8 0x879d88b6fe1c324c, 0xaadd5a18c1e21274
+data8 0xd746a66a5bc9f6d9, 0x87c5f346dbf98c3a
+data8 0xab1045f2ac31bdf5, 0xd786ce8f0fae5317
+data8 0x87e7c653efacef2c, 0xab3ae3ab2df7231e
+data8 0xd7bc7ff214c4e75a, 0x881089d4e73ffefc
+data8 0xab6e3f945d1e96fc, 0xd7fd35467a517ed1
+data8 0x88397e6a366f2a8a, 0xaba1d953a08fa94e
+data8 0xd83e38838648d815, 0x885bc559e5e1c081
+data8 0xabcd090db7ef4c3f, 0xd874a1db598b8951
+data8 0x887e2ee392bb7a93, 0xabf864602d7c323d
+data8 0xd8ab42205b80edaf, 0x88a7a8587e404257
+data8 0xac2ca5886ccf9b57, 0xd8ed1849d202f965
+data8 0x88ca5eda67594784, 0xac5861d4aa441f0f
+data8 0xd92432bd5a173685, 0x88f4356166bd590e
+data8 0xac8d183fe3a2fbed, 0xd9669ca45b03c23e
+data8 0x89173a0acf5ce026, 0xacb93703ff51571e
+data8 0xd99e3327cf89574e, 0x893a62a098b6a57b
+data8 0xace5830ad0c3f14b, 0xd9d602b19b100466
+data8 0x895daf637236ae2c, 0xad11fca5d78b3ff2
+data8 0xda0e0ba86c096841, 0x89883b9d1c2fa9c5
+data8 0xad4797fddf91a798, 0xda5195fcdb1c3dce
+data8 0x89abd8dd374a5d7b, 0xad747701e559ebcb
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+data8 0xa0b24fe89e02602f, 0xca77068257be9bab
+data8 0xff16fffe2fa8fad6, 0xa0ccd82d1bd2f68b
+data8 0xca98743ae1c693a8, 0xff411e0ba9db886d
+data8 0xa0e77200215909e6, 0xcab9f8122c99a101
+data8 0xff6b57f7c33e4e9a, 0xa1021d760d584855
+data8 0xcadb9221e268c3b5, 0xff95ade2d1bd7358
+data8 0xa11cdaa36068a57d, 0xcafd4283d8043dfd
+data8 0xffc01fed60f86fb5, 0xa137a99cbd3f880b
+data8 0xcb1f09520d37c6fb, 0xffeaae3832b63956
+ASM_SIZE_DIRECTIVE(T_table)
+
+
+
+
+
+
+.align 32
+.global cbrtf#
.section .text
-GLOBAL_LIBM_ENTRY(cbrtf)
+.proc cbrtf#
+.align 32
+cbrtf:
-{.mfi
- getf.sig GR_SIGNIF = f8
- // will continue only for normal/denormal numbers
- fclass.nm.unc p12, p7 = f8, 0x1b
- // GR_GP = pointer to C_1, C_2 followed by T_table
- nop.i 0
+{ .mfi
+ getf.sig r28=f8
+ // will continue only for normal/denormal numbers
+(p0) fclass.nm.unc p12,p7 = f8, 0x1b
+ // r2 = pointer to C_1,C_2 followed by T_table
+ addl r2 = @ltoff(poly_coeffs), gp
}
{.mfi
- addl GR_GP = @ltoff(poly_coeffs), gp
- // normalize a
- fma.s1 FR_ARG = f8, f1, f0
- // GR_CT3 = bias-((2^8-1)/3) -63 = 0xffff-0x55-0x3f = 0xff6b
- mov GR_CT3 = 0xff6b ;;
-}
-
-{.mmi
- // get exponent
- getf.exp GR_ARGEXP = f8
- // load start address for C_1, C_2 followed by T_table
- ld8 GR_ADDR = [ GR_GP ]
- nop.i 0 ;;
-}
-
-{.mlx
- // check if input significand is 0
- (p7) cmp.eq p12, p7 = GR_SIGNIF, r0
- // GR_2P63 = 2^63
- movl GR_2P63 = 0x8000000000000000 ;;
+ // r29=bias-((2^8-1)/3) -63=0xffff-0x55-0x3f=0xff6b
+ mov r29=0xff6b
+ // normalize a
+ fma.s1 f14=f8,f1,f0
+ nop.i 0;;
}
-
-{.mfi
- nop.m 0
- // y = frcpa(a)
- // p7 = 1 for normal and denormal (but non-zero) arguments
- (p7) frcpa.s0 FR_Y, p0 = f1, f8
- // p9 = 1 if denormal input
- cmp.gtu p9, p0 = GR_2P63, GR_SIGNIF
+{.mib
+ nop.m 0
+ (p7) cmp.eq p12,p0=r28,r0
+ nop.b 0;;
}
{.mfb
- // load C_1
- ldfe FR_COEFF1 = [ GR_ADDR ], 16
- // if argument is 0, +/-Infinity, or NaN, return
- (p12) fma.s.s0 f8 = f8, f1, f0
- (p12) br.ret.spnt b0 ;;
+ // load start address for C_1,C_2 followed by T_table
+ ld8 r2=[r2]
+ (p12) fma.s.s0 f8=f8,f1,f0
+ (p12) br.ret.spnt b0;;
+}
+{.mmf
+ // load C_1
+ ldfe f7=[r2],16
+ nop.m 0
+ // y=frcpa(a)
+ frcpa.s0 f8,p6=f1,f8;;
}
-
{.mmi
- // get normalized significand (for denormal inputs only)
- (p9) getf.sig GR_SIGNIF = FR_ARG
- // load C_2
- ldfe FR_COEFF2 = [ GR_ADDR ], 16
- // GR_CT2 = bias-(2^8-1)
- mov GR_CT2 = 0xff00
+ // load C_2
+ ldfe f9=[r2],16
+ // r28=bias-(2^8-1)
+ mov r28=0xff00
+ nop.i 0;;
}
-
-{.mii
- // get exponent (for denormal inputs only)
- (p9) getf.exp GR_ARGEXP = FR_ARG
- nop.i 0
- mov GR_CONST = 0x20000 ;;
+{.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_ARGEXP, GR_CONST
- // eliminate leading 1 from GR_I1 = 1st table index
- shl GR_I1 = GR_SIGNIF, 1
- // eliminate sign from exponent
- andcm GR_EBIAS = GR_ARGEXP, GR_CONST ;;
+ // get r26=sign
+ and r26=r24,r25
+ // eliminate leading 1 from r23=1st table index
+ shl r23=r23,1
+ // eliminate sign from exponent (r25)
+ andcm r25=r24,r25;;
}
-
-
{.mfi
- // subtract bias from GR_EXP = exponent
- sub GR_EXP = GR_EBIAS, GR_CT2
- // r = 1-a*y
- fnma.s1 FR_R = FR_Y, FR_ARG, f1
- // GR_IT1 = 1st table index (y_index8 bits)
- shr.u GR_IT1 = GR_I1, 56 ;;
+ // subtract bias from r25=exponent
+ sub r25=r25,r28
+ // r=1-a*y
+ (p6) fnma.s1 f6=f8,f14,f1
+ // r23=1st table index (y_index8 bits)
+ shr.u r23=r23,56;;
}
-
-
{.mii
- // 1: exponent* = 5; // (2^{16}-1)/3 = 0x5555
- shladd GR_E5 = GR_EXP, 2, GR_EXP
- // GR_IT1_3 = 3*y_index
- shladd GR_IT1_3 = GR_IT1, 1, GR_IT1
- nop.i 0 ;;
-}
-
-
-{.mmi
- // GR_TMP5 = (5*expon)*16+5*expon = (0x55)*expon
- shladd GR_TMP5 = GR_E5, 4, GR_E5
- // adjust T_table pointer by 1st index
- shladd GR_TP1 = GR_IT1_3, 3, GR_ADDR
- nop.i 0 ;;
+ // 1: exponent*=5; // (2^{16}-1)/3=0x5555
+ shladd r24=r25,2,r25
+ // r23=3*y_index
+ shladd r23=r23,1,r23;;
+ // r30=(5*expon)*16+5*expon=(0x55)*expon
+ shladd r30=r24,4,r24;;
}
-
-
{.mmi
- // FR_T0 = T [ 0 ] [ y ]
- ldf8 FR_T0 = [ GR_TP1 ], 8
- // get 2^{-63}
- mov GR_TMP63 = 0xffff + 63
- // GR_TMP = (0x5500)*expon
- shl GR_TMP = GR_TMP5, 8 ;;
+ // adjust T_table pointer by 1st index
+ shladd r2=r23,3,r2;;
+ // f10=T[0][y]
+ (p6) ldf8 f10=[r2],8
+ // r24=(0x5500)*expon
+ shl r24=r30,8;;
}
-
-
{.mfi
- // FR_T1 = T [ 1 ] [ y ]
- ldf8 FR_T1 = [ GR_TP1 ], 8
- // P_1 = C_1+C_2*r
- fma.s1 FR_COEFF1 = FR_COEFF2, FR_R, FR_COEFF1
- // GR_TMP2 = (0x5555)*expon
- add GR_TMP2 = GR_TMP, GR_TMP5 ;;
+ // f11=T[1][y]
+ (p6) ldf8 f11=[r2],8
+ // P_1=C_1+C_2*r
+ (p6) fma.s1 f7=f9,f6,f7
+ // r24=(0x5555)*expon
+ add r24=r24,r30;;
}
-
-
{.mmi
- // GR_TMP3 = (0x5556)*expon // 0x5556 = (2^{16}+2)/3
- add GR_TMP3 = GR_TMP2, GR_EXP ;;
- // FR_T2 = T [ 2 ] [ y ]
- ldf8 FR_T2 = [ GR_TP1 ]
- // GR_EXP3 = floor(expon/3)
- shr GR_EXP3 = GR_TMP3, 16 ;;
+ // r24=(0x5556)*expon // 0x5556=(2^{16}+2)/3
+ add r24=r24,r25;;
+ // f8=T[2][y]
+ (p6) ldf8 f8=[r2]
+ // r24=floor(expon/3)
+ shr r24=r24,16;;
}
-
-
{.mmi
- setf.exp FR_2M63 = GR_TMP63
- // GR_TMP4 = 3*exponent
- shladd GR_TMP4 = GR_EXP3, 1, GR_EXP3
- // bias exponent
- add GR_EBIAS3 = GR_CT3, GR_EXP3 ;;
-}
-
-
-{.mmf
- // get remainder of exponent/3
- sub GR_REM = GR_EXP, GR_TMP4
- // add sign to exponent
- or GR_SEXP = GR_EBIAS3, GR_SIGN
- // P_2 = -r*P_1
- fnma.s1 FR_R = FR_COEFF1, FR_R, f0 ;;
+ nop.m 0
+ // r28=3*exponent
+ shladd r28=r24,1,r24
+ // bias exponent
+ add r24=r29,r24;;
}
-
-
-
{.mmi
- // FR_ARG = sign*2^{exponent/3}
- setf.exp FR_ARG = GR_SEXP
- nop.m 0
- // remainder = 0 ?
- // p7=1 if input exponent is 3*j (remainder is 0)
- cmp.eq.unc p7, p8 = r0, GR_REM ;;
+ // get remainder of exponent/3
+ sub r25=r25,r28
+ // add sign to exponent
+ or r24=r24,r26
+ nop.i 0;;
+}
+{.mfi
+ nop.m 0
+ // P_2=-r*P_1
+ (p6) fnma.s1 f6=f7,f6,f0
+ // remainder=0 ?
+ (p6) cmp.eq.unc p7,p8=r0,r25;;
}
-
-
{.mfi
- // remainder = 1 ?
- // p8=1 if input exponent is 3*j+1 (remainder is 1)
- // p12=1 if input exponent is 3*j+2 (remainder is 2)
- (p8) cmp.eq.unc p8, p12 = 1, GR_REM
- // p7=1 -> remainder = 0 -> use T = FR_T0
- (p7) fma.s1 f8 = FR_T0, FR_R, FR_T0
- // argument is of the form 2^(3*k) ?
- // ( GR_I1 holds significand bits, without the leading 1)
- or GR_I1 = GR_I1, GR_REM ;;
+ // f14=sign*2^{exponent/3}
+ (p6) setf.exp f14=r24
+ nop.f 0
+ // remainder = 1 ?
+ (p8) cmp.eq.unc p8,p12=1,r25;;
}
-
-
-.pred.rel "mutex", p12, p8
+.pred.rel "mutex",p7,p8
{.mfi
- nop.m 0
- // p8=1 -> remainder = 1 -> use FR_T1
- (p8) fma.s1 f8 = FR_T1, FR_R, FR_T1
- // argument is of the form 2^(3*k) ?
- cmp.eq p14, p7 = GR_I1, r0
+ nop.m 0
+ // remainder=0 -> use T=f10
+ (p7) fma.s1 f8=f10,f6,f10
+ nop.i 0
}
-
-
{.mfi
- nop.m 0
- // p12=1 -> remainder=2 -> result = T+T*P_2
- (p12) fma.s1 f8 = FR_T2, FR_R, FR_T2
- nop.i 0 ;;
+ nop.m 0
+ // remainder =1 -> use f11
+ (p8) fma.s1 f8=f11,f6,f11
+ nop.i 0;;
}
-
-
-.pred.rel "mutex", p14, p7
{.mfi
- nop.m 0
- // if argument is sgn*2^{3*(expon/3)}
- (p14) fma.s.s0 f8 = FR_2M63, FR_ARG, f0
- nop.i 0
+ nop.m 0
+ // result=T+T*P_2
+ (p12) fma.s.s0 f8=f8,f6,f8
+ nop.i 0;;
}
{.mfb
- nop.m 0
- // T* = sgn*2^{expon/3}
- (p7) fma.s.s0 f8 = f8, FR_ARG, f0
- br.ret.sptk b0 ;;
+ nop.m 0
+ // T*=sgn*2^{expon/3}
+ (p6) fma.s.s0 f8=f8,f14,f0
+ br.ret.sptk b0;;
}
-
-
-GLOBAL_LIBM_END(cbrtf)
-
-
-
-
+.endp cbrtf
+ASM_SIZE_DIRECTIVE(cbrtf)
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