2.5-18.1

1 files changed, 986 insertions, 0 deletions

diff --git a/sysdeps/ia64/fpu/s_tanh.S b/sysdeps/ia64/fpu/s_tanh.S
new file mode 100644
index 0000000000..9adbc9c461
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_tanh.S
@@ -0,0 +1,986 @@
+.file "tanh.s"
+
+
+// Copyright (c) 2001 - 2005, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 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
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * 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 
+// 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://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================================
+// 05/30/01  Initial version
+// 12/04/01  Rewritten version with erf-like algorithm.
+//           Performance improved.
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 08/14/02  Changed mli templates to mlx
+// 02/10/03  Reordered header: .section, .global, .proc, .align
+// 03/31/05  Reformatted delimiters between data tables
+//
+// API
+//==============================================================================
+// double tanh(double)
+//
+// Overview of operation
+//==============================================================================
+//
+// Algorithm description
+// ---------------------
+//
+// There are 4 paths:
+//
+// 1. Special path: x = 0, Inf, NaNs, denormals
+//    Return tanh(x) = +/-0.0 for zeros
+//    Return tanh(x) = QNaN for NaNs
+//    Return tanh(x) = sign(x)*1.0 for Inf
+//    Return tanh(x) = x + x^2   for - denormals
+//    Return tanh(x) = x - x^2   for + denormals
+//
+// 2. Near zero path: 0.0 < |x| < 0.25
+//    Return tanh(x) = x + x^3*A3 + ... + x^19*A19
+//
+// 3. Main path: 0.25 <= |x| < 19.0625
+//    For several ranges of 0.25 <= |x| < 19.0625
+//    Return tanh(x) = sign(x)*(A0 + y*A1 + y^2*A2 + 
+//                                       + y^3*A3 + ... + y^19*A19)
+//    where y = (|x|/a) - b
+//    
+//    For each range there is particular set of coefficients.
+//    Below is the list of ranges:
+//    1/4  <= |x| < 1/2     a = 0.25, b = 1.0
+//    1/2  <= |x| < 1.0     a = 0.5,  b = 1.0
+//    1.0  <= |x| < 2.0     a = 1.0,  b = 1.0
+//    2.0  <= |x| < 3.25    a = 2.0,  b = 1.0
+//    3.25 <= |x| < 4.0     a = 2.0,  b = 2.0
+//    4.0  <= |x| < 6.5     a = 4.0,  b = 1.0
+//    6.5  <= |x| < 8.0     a = 4.0,  b = 2.0
+//    8.0  <= |x| < 13.0    a = 8.0,  b = 1.0
+//    13.0 <= |x| < 16.0    a = 8.0,  b = 2.0
+//    16.0 <= |x| < 19.0625 a = 16.0, b = 1.0
+//    ( [3.25;4.0], [6.5;8.0], [13.0;16.0] subranges separated 
+//                               for monotonicity issues resolve )
+//
+// 4. Saturation path: 19.0625 <= |x| < +INF 
+//    Return tanh(x) = sign(x)*(1.0 - tiny_value)
+//    (tiny_value ~ 2^(-63))
+//
+// Registers used
+//==============================================================================
+// Floating Point registers used: 
+// f8 = input, output
+// f32 -> f64
+//
+// General registers used:  
+// r32 -> r51, r2, r3
+//
+// Predicate registers used:
+// p6, p8, p10, p11, p12, p14, p15
+// p6           arg is zero, denormal or special IEEE
+// p8           to filter out case when signd(x) > 1.625 
+// p10          to filter out case when |x| < 0.25
+// p11          to filter out case when signd(x) <= 1.625 
+// p12          to filter out case when |x| >= 19.0625
+// p14          set to 1 for positive x
+// p15          set to 1 for negative x
+
+// Assembly macros
+//==============================================================================
+rDataPtr           = r2
+rDataPtr1          = r3
+
+rBias              = r33
+rCoeffAddr3        = r34
+rThreeAndQ         = r35
+rCoeffAddr2        = r36
+rMask              = r37
+rArg               = r38
+rSignBit           = r39
+rAbsArg            = r40
+rSaturation        = r41
+rIndex             = r42
+rCoeffAddr1        = r43
+rCoeffAddr4        = r44
+rShiftedArg        = r45
+rShiftedArgMasked  = r46
+rBiasedExpOf4      = r47
+rShiftedAbsArg     = r48
+rArgSgnd           = r49
+r1625Sgnd          = r50
+rTwo               = r51
+
+//==============================================================================
+fA0                = f32
+fA1                = f33
+fA2                = f34
+fA3                = f35
+fA4                = f36
+fA5                = f37
+fA6                = f38
+fA7                = f39
+fA8                = f40
+fA9                = f41
+fA10               = f42
+fA11               = f43
+fA12               = f44
+fA13               = f45
+fA14               = f46
+fA15               = f47
+fA16               = f48
+fA17               = f49
+fA18               = f50
+fA19               = f51
+fArgSqr            = f52
+fArgAbsNorm        = f53
+fSignumX           = f54
+fRes               = f55
+fThreeAndQ         = f56
+fArgAbs            = f57
+fTSqr              = f58
+fTQuadr            = f59
+fTDeg3             = f60
+fTDeg7             = f61
+fArgAbsNormSgn     = f62                          
+fTQuadrSgn         = f63
+fTwo               = f64
+
+// Data tables
+//==============================================================================
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(tanh_data)
+// CAUTION: The order of these table coefficients shouldn't be changed!
+
+// Main path coefficients:
+// Coefficients ##0..15 ("main" coefficient tables)
+// Polynomial coefficients for the tanh(x), 0.25 <= |x| < 0.5 
+data8 0xE9D218BC9A3FB55A, 0x00003FC7 //A19
+data8 0xC8C0D38687F36EBA, 0x00003FCE //A18
+data8 0xA2663E519FAC8A43, 0x0000BFD2 //A17
+data8 0xD913F0490674B0DF, 0x00003FD3 //A16
+data8 0xF75D84789DE0AE52, 0x00003FD6 //A15
+data8 0xACB3C40EEF3A06F0, 0x0000BFD9 //A14
+data8 0xEBD7F5DC02CFD5BA, 0x0000BFDB //A13
+data8 0x8B52CDF66D709E2A, 0x00003FDF //A12
+data8 0x9EC21F28E05C4A3E, 0x00003FE0 //A11
+data8 0xC412B44D0176F3ED, 0x0000BFE4 //A10
+data8 0x97BF35A34DD1EA4C, 0x0000BFE0 //A9
+data8 0xF89F5B39E3A3AA36, 0x00003FE9 //A8
+data8 0xF2BA654BCEEBA433, 0x0000BFEA //A7
+data8 0x8E1C15876AA589AD, 0x0000BFEF //A6
+data8 0x942226246A8C2A86, 0x00003FF1 //A5
+data8 0x8F06D9FF7DB47261, 0x00003FF4 //A4
+//
+// Polynomial coefficients for the tanh(x), 0.5 <= |x| < 1.0 
+data8 0xC4A7B8FB672A8520, 0x00003FDC //A19
+data8 0xA20724B847E13499, 0x0000BFE0 //A18
+data8 0xE17DB53F02E4D340, 0x00003FE2 //A17
+data8 0x90264A1012F4CA6F, 0x0000BFE4 //A16
+data8 0xEBEC9F776F0BF415, 0x0000BFE0 //A15
+data8 0x89AF912B305B45A4, 0x00003FE7 //A14
+data8 0xB4A960B81F5EC36A, 0x0000BFE7 //A13
+data8 0x969A4E95B2DA86B5, 0x0000BFEA //A12
+data8 0x8A3FC0EC082305CB, 0x00003FEC //A11
+data8 0x83D7795BCBE24373, 0x00003FEC //A10
+data8 0xDCBF42AEB82932EC, 0x0000BFEF //A9
+data8 0x83318E61ECAFD804, 0x00003FF0 //A8
+data8 0xEA4DE5746975A914, 0x00003FF2 //A7
+data8 0xCE63E8FA6B96480B, 0x0000BFF4 //A6
+data8 0xDF017BE0D4FE45D8, 0x0000BFF4 //A5
+data8 0xA8A0C6E2226DF3CD, 0x00003FF8 //A4
+//
+// Polynomial coefficients for the tanh(x), 1.0 <= |x| < 2.0 
+data8 0x8E89D2EBFDAA160B, 0x00003FE9 //A19
+data8 0xDD9226310A272046, 0x0000BFEC //A18
+data8 0xA038042D28B0D665, 0x00003FEF //A17
+data8 0x8C04796F03516306, 0x0000BFF1 //A16
+data8 0x9CD6A9CB4E90A2FD, 0x00003FF2 //A15
+data8 0xC8980E166F5A84FD, 0x0000BFF2 //A14
+data8 0x9ADFE65F56B7BCFD, 0x00003FED //A13
+data8 0x8B11FDFB5D0A7B96, 0x00003FF4 //A12
+data8 0x8209A125E829CBFA, 0x0000BFF5 //A11
+data8 0xCF38AAC17B85BD76, 0x00003FF1 //A10
+data8 0xD5C2E248D8AB99AB, 0x00003FF6 //A9
+data8 0xE12BE2785727F2D6, 0x0000BFF7 //A8
+data8 0x9FC9EF90F87BF1E2, 0x00003FF6 //A7
+data8 0x9B02FE0DAF42C08F, 0x00003FF9 //A6
+data8 0xBDACE06F531D9491, 0x0000BFFA //A5
+data8 0xE3048AD1DB2F648C, 0x00003FF9 //A4
+//
+// Polynomial coefficients for the tanh(x), 2.0 <= |x| < 3.25 
+data8 0x856EC3B0330A385A, 0x00003FEB //A19
+data8 0xC641D69DAE2D429C, 0x0000BFF2 //A18
+data8 0xC683EB0BE1343FFF, 0x00003FF5 //A17
+data8 0xC358954224E4E823, 0x0000BFF7 //A16
+data8 0xF813A8D6D396BC5F, 0x00003FF8 //A15
+data8 0xE0ECDFED078D37D6, 0x0000BFF9 //A14
+data8 0x950E4E619855E316, 0x00003FFA //A13
+data8 0x8453B8F93370FB58, 0x0000BFFA //A12
+data8 0xFDBA28430AEC95BA, 0x00003FF7 //A11
+data8 0x9371AAC1FDB1E664, 0x00003FFA //A10
+data8 0xAC972DA97782D88A, 0x0000BFFB //A9
+data8 0xE18F47B10B9CE1BC, 0x00003FFB //A8
+data8 0xAB7C81230BF13BC6, 0x0000BFFB //A7
+data8 0xA6CAAD4A3E31A7D5, 0x0000BFF8 //A6
+data8 0x9CABD76D1D5C3878, 0x00003FFC //A5
+data8 0x92906D077941CAA9, 0x0000BFFD //A4
+//
+// Polynomial coefficients for the tanh(x), 4.0 <= |x| < 6.5 
+data8 0x9232D19F71709AC9, 0x0000BFF5 //A19
+data8 0x819E31323F5DD3F8, 0x00003FF8 //A18
+data8 0xDA8E1CDB8D23DC29, 0x0000BFF9 //A17
+data8 0xE97C7CD8FC0486D8, 0x00003FFA //A16
+data8 0xB0C4AD234D88C9F2, 0x0000BFFB //A15
+data8 0xC5989BFB28FDE267, 0x00003FFB //A14
+data8 0x9B26520EC4EFEE8E, 0x0000BFFB //A13
+data8 0xC4B6F758AD21E574, 0x00003FF9 //A12
+data8 0xCC36E3FFA10D2CFF, 0x00003FFA //A11
+data8 0x8738696FB06A5CED, 0x0000BFFC //A10
+data8 0xD31981825BF39228, 0x00003FFC //A9
+data8 0x82C58FB9BEE43992, 0x0000BFFD //A8
+data8 0x88D5AAE49164B6F3, 0x00003FFD //A7
+data8 0xF4CA0B968AF2DDE2, 0x0000BFFC //A6
+data8 0xB99874B482BD17EE, 0x00003FFC //A5
+data8 0xE93FB2F99431DC1D, 0x0000BFFB //A4
+//
+// Polynomial coefficients for the tanh(x), 8.0 <= |x| < 13.0 
+data8 0xAAA9EB7EADA85CEC, 0x00003FF5 //A19
+data8 0x980C80EE05A6BE78, 0x0000BFF8 //A18
+data8 0x818DA9F5396390A5, 0x00003FFA //A17
+data8 0x8D8CC21E23D8A6A2, 0x0000BFFB //A16
+data8 0xE0EC19E55A886765, 0x00003FFB //A15
+data8 0x8C11197A7E6244C5, 0x0000BFFC //A14
+data8 0x901D2BF203C2F7F3, 0x00003FFC //A13
+data8 0xFEACAEE66EE803E5, 0x0000BFFB //A12
+data8 0xC684E4925E318C3F, 0x00003FFB //A11
+data8 0x8A9D8A970565F28D, 0x0000BFFB //A10
+data8 0xAE34C61DE5CEA4D4, 0x00003FFA //A9
+data8 0xC44C5714BD6208A0, 0x0000BFF9 //A8
+data8 0xC4612F7D6C8BDB79, 0x00003FF8 //A7
+data8 0xABD91DCE40D5EECB, 0x0000BFF7 //A6
+data8 0x80E375C1B847B72F, 0x00003FF6 //A5
+data8 0xA11C7DD978CF700A, 0x0000BFF4 //A4
+//
+// Polynomial coefficients for the tanh(x), 16.0 <= |x| < 19.0625 
+data8 0xE29D17C510F86F6B, 0x00003FF3 //A19
+data8 0x88FE52EB39A3A98C, 0x0000BFF5 //A18
+data8 0xA406547E50360693, 0x00003FF5 //A17
+data8 0x83E6260B71C6D7DE, 0x0000BFF5 //A16
+data8 0xA36AB5B0CBC97B85, 0x00003FF4 //A15
+data8 0xA94931E0B7BA6C14, 0x0000BFF3 //A14
+data8 0x9A4596DAF350AD63, 0x00003FF2 //A13
+data8 0xFE47643F375AECA5, 0x0000BFF0 //A12
+data8 0xBF8433C5ABEE63B1, 0x00003FEF //A11
+data8 0x83CEE05D7AE90A0A, 0x0000BFEE //A10
+data8 0xA4CC45480BCEB02D, 0x00003FEC //A9
+data8 0xB967CBDCBC16CB10, 0x0000BFEA //A8
+data8 0xB9681B214EDC098D, 0x00003FE8 //A7
+data8 0xA23B20D87B80DFA8, 0x0000BFE6 //A6
+data8 0xF358B2C46F10CBAF, 0x00003FE3 //A5
+data8 0x98176FD06229A385, 0x0000BFE1 //A4
+//
+// Binary subranges
+// Polynomial coefficients for the tanh(x), 3.25 <= |x| < 4.0 
+data8 0xEF2EE841288F6706, 0x00003FE9 //A19
+data8 0xE65D5B74B85F82A6, 0x00003FEB //A18
+data8 0xE495FC21E42A79FF, 0x00003FEA //A17
+data8 0xF99B267A913CF3E5, 0x00003FEC //A16
+data8 0xFE3D700F4A0A0FDE, 0x0000BFEC //A15
+data8 0x8F91BB4EE4E4EA52, 0x00003FEE //A14
+data8 0xBCA9F41A5C6EF8BA, 0x0000BFEE //A13
+data8 0xF93E00884027A9CF, 0x00003FED //A12
+data8 0xC4D4036A61BABC2F, 0x00003FEF //A11
+data8 0x86CC2AD1AD47C7D5, 0x0000BFF2 //A10
+data8 0xD3065DEF4CE9AD32, 0x00003FF3 //A9
+data8 0x82C44125F568D54E, 0x0000BFF5 //A8
+data8 0x88D588729BAF14CA, 0x00003FF6 //A7
+data8 0xF4CA0661307243C7, 0x0000BFF6 //A6
+data8 0xB998746D57061F74, 0x00003FF7 //A5
+data8 0xE93FB2F482327C19, 0x0000BFF7 //A4
+//
+// Polynomial coefficients for the tanh(x), 6.5 <= |x| < 8.0 
+data8 0xEB189B71ADC40BE2, 0x00003FEA //A19
+data8 0xA60B46F9FF6DC2DF, 0x00003FEA //A18
+data8 0xBB061CDD9F368B9D, 0x00003FEC //A17
+data8 0x841E08BDF5429991, 0x0000BFEC //A16
+data8 0xDD33990B433F25BE, 0x00003FED //A15
+data8 0xBA5DE6B870F0A2BB, 0x0000BFEE //A14
+data8 0xA71D489AAA6DACF0, 0x00003FEF //A13
+data8 0x874CCB2B8F3FBC0E, 0x0000BFF0 //A12
+data8 0xCB1D2E9754EA534A, 0x00003FF0 //A11
+data8 0x8BA5ABB53BA6ABCF, 0x0000BFF1 //A10
+data8 0xAE91FD1C2391A32B, 0x00003FF1 //A9
+data8 0xC465A74B798E5761, 0x0000BFF1 //A8
+data8 0xC4666152397D15C1, 0x00003FF1 //A7
+data8 0xABD9E63CA575B950, 0x0000BFF1 //A6
+data8 0x80E38B18E8D0F460, 0x00003FF1 //A5
+data8 0xA11C80E20AAFDD3C, 0x0000BFF0 //A4
+//
+// Polynomial coefficients for the tanh(x), 13.0 <= |x| < 16.0 
+data8 0xBECD0AF7E22E5594, 0x00003FE9 //A19
+data8 0xE2834E2D68C1128C, 0x00003FEA //A18
+data8 0x97B117611B317379, 0x00003FEB //A17
+data8 0xEE91A0D39A772F6B, 0x00003FEA //A16
+data8 0x92F6EC377DCADA4F, 0x00003FEA //A15
+data8 0xD8FCCD6A3277FAB7, 0x00003FE8 //A14
+data8 0xC15AB9CB0C3DCFE0, 0x00003FE7 //A13
+data8 0xC3C659704A7147CD, 0x00003FE2 //A12
+data8 0xFA17F09D27C97912, 0x00003FE4 //A11
+data8 0xF664147182B94788, 0x0000BFE3 //A10
+data8 0xA6C89FA741464DA1, 0x00003FE3 //A9
+data8 0xB90FE464A825EFA8, 0x0000BFE2 //A8
+data8 0xB973AE0FD86EC024, 0x00003FE1 //A7
+data8 0xA23A087F96846951, 0x0000BFE0 //A6
+data8 0xF358D8A7FC012D5D, 0x00003FDE //A5
+data8 0x98176E2309B7C73A, 0x0000BFDD //A4
+//
+// Coefficients ##16..19 ("tail" coefficient tables)
+// Polynomial coefficients for the tanh(x), 0.25 <= |x| < 0.5 
+data8 0x838F209ABB9BA7B3, 0x0000BFF7 //A3
+data8 0xEBC0AC78DA4FC500, 0x0000BFF8 //A2
+data8 0xF0A4D02960B60E69, 0x00003FFC //A1
+data8 0xFACBF534D0E42F8A, 0x00003FFC //A0
+//
+// Polynomial coefficients for the tanh(x), 0.5 <= |x| < 1.0 
+data8 0xC0ECBDC0A0D133A6, 0x0000BFF8 //A3
+data8 0xBA13A076BF8E812F, 0x0000BFFB //A2
+data8 0xC954A37D1A1CA070, 0x00003FFD //A1
+data8 0xEC9A9EBAB4579B29, 0x00003FFD //A0
+//
+// Polynomial coefficients for the tanh(x), 1.0 <= |x| < 2.0 
+data8 0xD42E9175A6EA1397, 0x00003FFB //A3
+data8 0xA3C361378A55CF56, 0x0000BFFD //A2
+data8 0xD706E07CC8622983, 0x00003FFD //A1
+data8 0xC2F7D5A8A79CA2AC, 0x00003FFE //A0
+//
+// Polynomial coefficients for the tanh(x), 2.0 <= |x| < 3.25
+data8 0xAC7A7F8776817C7E, 0x00003FFD //A3
+data8 0x8B7CE95E69FCFE9A, 0x0000BFFD //A2
+data8 0x90B161317028D995, 0x00003FFC //A1
+data8 0xF6CA82F0DE1E9E9A, 0x00003FFE //A0
+//
+// Polynomial coefficients for the tanh(x), 4.0 <= |x| < 6.5
+data8 0xE9E072407BC22DC6, 0x00003FFA //A3
+data8 0xAFA4A913D8E6BB4A, 0x0000BFF9 //A2
+data8 0xAFC2D6A885BAA875, 0x00003FF7 //A1
+data8 0xFFD40B84505A10B2, 0x00003FFE //A0
+//
+// Polynomial coefficients for the tanh(x), 8.0 <= |x| < 13.0
+data8 0xA11C8A1FED168CD5, 0x00003FF2 //A3
+data8 0xF1AAD6B02063A5F5, 0x0000BFEF //A2
+data8 0xF1AADA46AD341C34, 0x00003FEC //A1
+data8 0xFFFFFC39548FC34B, 0x00003FFE //A0
+//
+// Polynomial coefficients for the tanh(x), 16.0 <= |x| < 19.0625
+data8 0x98176FD1F0950C16, 0x00003FDE //A3
+data8 0xE42327BB09C8B2A5, 0x0000BFDA //A2
+data8 0xE42327BB0B154F13, 0x00003FD6 //A1
+data8 0xFFFFFFFFFFF8DEE7, 0x00003FFE //A0
+//
+// Binary subranges
+// Polynomial coefficients for the tanh(x), 3.25 <= |x| < 4.0
+data8 0xE9E072404329293B, 0x00003FF7 //A3
+data8 0xAFA4A913D798300B, 0x0000BFF7 //A2
+data8 0xAFC2D6A885B48567, 0x00003FF6 //A1
+data8 0xFFD40B84505A10B4, 0x00003FFE //A0
+//
+// Polynomial coefficients for the tanh(x), 6.5 <= |x| < 8.0
+data8 0xA11C8A63815F7A28, 0x00003FEF //A3
+data8 0xF1AAD6B65B0EBF53, 0x0000BFED //A2
+data8 0xF1AADA46E799831F, 0x00003FEB //A1
+data8 0xFFFFFC39548FC348, 0x00003FFE //A0
+//
+// Polynomial coefficients for the tanh(x), 13.0 <= |x| < 16.0
+data8 0x98176FE982140A59, 0x00003FDB //A3
+data8 0xE42327B9B0D7202F, 0x0000BFD8 //A2
+data8 0xE42327BB13076BD6, 0x00003FD5 //A1
+data8 0xFFFFFFFFFFF8DEE7, 0x00003FFE //A0
+//
+// Polynomial coefficients for the tanh(x), 0.0 <= |x| < 0.25 
+// ('tanh_near_zero' path)
+data8 0xBF2BA5D26E479D0C //A9
+data8 0x3F4336D96F81EE26 //A8
+data8 0xBF8226E34AE197B0 //A5
+data8 0x3F9664F488148657 //A4
+data8 0xAAAAAAAAAAAAAA99, 0x0000BFFD //A1
+data8 0xBF57D91925BB5EE2 //A7
+data8 0x3F6D6D36C3D5B7A1 //A6
+data8 0xBFABA1BA1BA19D32 //A3
+data8 0x3FC1111111111108 //A2
+//
+// 1.0 - 2^(-63)
+// ('tanh_saturation' path)
+data8 0xFFFFFFFFFFFFFFFF, 0x00003FFE 
+LOCAL_OBJECT_END(tanh_data)
+
+// CAUTION: The order of table coefficients shouldn't be changed!
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(tanh)
+{ .mfi
+      alloc          r32         = ar.pfs, 0, 20, 0, 0
+      fmerge.se      fArgAbsNorm = f1, f8         // normalized x
+      adds           rSignBit    = 0x1, r0        // Bit for sign removing
+}
+{ .mfi
+      addl           rDataPtr    = @ltoff(tanh_data), gp // Data pointer
+      fma.s1         fTwo        = f1, f1, f1            // 2.0 construct
+      addl           rArgSgnd    = 0xfff, r0             // mask for exponent
+};;
+
+{ .mfi
+      getf.d         rArg        = f8       // x in GR 
+      fclass.m       p6,p0       = f8, 0xEF // Filter 0, denormals and specials 
+                            // 0xEF = @qnan|@snan|@pos|@neg|@zero|@unorm|@inf
+      shl            rArgSgnd    = rArgSgnd, 52  // mask for exponent
+}
+{ .mlx
+      ld8            rDataPtr    = [rDataPtr]        // Real data pointer
+      movl           r1625Sgnd   = 0xA000000000000   // 1.625 signd
+      // 1.625 significand used to filter values greater than 3.25, 6.5, 13.0
+      // to enter binary subranges
+};;
+
+{ .mfi
+      addl           rBias       = 0x3FD00, r0       // bias of 0.25 << 8
+      fma.s1         fArgSqr     = f8, f8, f0        // x^2
+      shl            rSignBit    = rSignBit, 63      // mask for sign bit
+}
+{ .mlx
+      addl           rMask       = 0x7FF00, r0          // Mask for index bits
+      movl           rTwo        = 0x4000000000000000   // 2.0
+};;
+
+{ .mfi
+      andcm          rArgSgnd    = rArg, rArgSgnd // Remove exponent
+      nop.f          0
+      shr.u          rShiftedArg = rArg, 44 // Select only necessary bits of arg
+}
+{ .mfb
+      andcm          rAbsArg     = rArg, rSignBit     // Remove sign
+      nop.f          0
+(p6)  br.cond.spnt   _tanh_spec    // Branch to zero, denorm & specs
+};;
+   
+{ .mfi
+      and            rShiftedArgMasked = rShiftedArg, rMask // bias of x << 8
+      fmerge.s       fArgAbs     = f1, f8                   // |x|
+      shr            rShiftedAbsArg    = rAbsArg, 44 // Select only necessary 
+                                                     // bits of absolute arg
+}
+{ .mfi
+      cmp.gt         p8, p11     = rArgSgnd, r1625Sgnd // p8 = 1 if
+      // signd(x) > 1.625 - to filter values greater than 3.25, 6.5, 13.0
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      sub            rIndex      = rShiftedArgMasked, rBias // index << 8
+      nop.f          0 
+      cmp.lt         p10, p0     = rShiftedArgMasked, rBias // p10=1 if |x|<0.25
+}
+{ .mfb
+(p8)  cmp.gt         p8, p11     = rAbsArg, rTwo // If arg is greater than 2.0?
+                                       // (then we should use binary subranges)
+      nop.f          0 
+(p10) br.cond.spnt   tanh_near_zero    // branch out if |x| < 0.25
+};;
+
+.pred.rel "mutex",p8,p11
+{ .mfi
+(p8)  add            rIndex      = 0x400, rIndex // Make pointer to binary 
+                                                 // subranges
+(p11) fms.s1         fArgAbsNorm = fArgAbsNorm, f1, f1     // |x|/b - 1.0
+      addl           rSaturation = 0x40331, r0 // shifted bits of 19.0625
+}
+{ .mfi
+      nop.m          0 
+(p8)  fms.s1         fArgAbsNorm = fArgAbsNorm, f1, fTwo // |x|/b - 2.0
+       // this is only for binary subranges [3.25;4], [6.5;8], [13.0;16]
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      add            rCoeffAddr1 = rDataPtr, rIndex// coeff. ##0,2,..14
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      adds           rCoeffAddr2 = 16, rCoeffAddr1 // Shifted pointer to coeffs
+      fmerge.s       fSignumX    = f8, f1          // signum(x)
+      nop.i          0
+} 
+{ .mfb
+      cmp.le         p12, p0     = rSaturation, rShiftedAbsArg // |x|>=19.0625?
+      nop.f          0
+(p12) br.cond.spnt   tanh_saturation          // branch out if x |x| >= 19.0625
+};;
+
+{.mfi
+      ldfe           fA19        = [rCoeffAddr1], 32 // Load A19
+      nop.f          0
+      nop.i          0
+}
+{.mfi
+      ldfe           fA18        = [rCoeffAddr2], 32 // Load A18
+      nop.f          0
+      adds           rCoeffAddr3 = 0xA00, rDataPtr   // Pointer to "tail"
+                                                     // coefficients tables
+};;
+
+{.mfi
+      ldfe           fA17        = [rCoeffAddr1], 32 // Load A17
+      nop.f          0
+      nop.i          0
+}
+{.mfi
+      ldfe           fA16        = [rCoeffAddr2], 32 // Load A16
+      nop.f          0
+      nop.i          0
+};;
+
+{.mfi
+      ldfe           fA15        = [rCoeffAddr1], 32 // Load A15
+      fma.s1         fTSqr       = fArgAbsNorm, fArgAbsNorm, f0 // x^2
+      shr.u          rIndex      = rIndex, 2 // Index for "tail" tables
+}
+{.mfi
+      ldfe           fA14        = [rCoeffAddr2], 32 // Load A14
+      nop.f          0
+      adds           rCoeffAddr4 = 16, r0            // Shifter pointer
+                                                     // to "tail" tables
+};;
+
+{.mfi
+      ldfe           fA13        = [rCoeffAddr1], 32   // Load A13
+      nop.f          0
+      add            rCoeffAddr3 = rCoeffAddr3, rIndex // "tail" coeffs to load
+                                                       // ##16..23
+}
+{.mfi
+      ldfe           fA12        = [rCoeffAddr2], 32 // Load A12
+      nop.f          0
+      cmp.lt         p15, p14    = rArg, r0          // Arg positive (p14) 
+                                                     // or negative (p15)?
+};;
+
+{.mfi
+      ldfe           fA11        = [rCoeffAddr1], 32        // Load A11
+      nop.f          0
+      add            rCoeffAddr4 = rCoeffAddr3, rCoeffAddr4 // shifted "tail" 
+                                                            // coeffs to load 
+}
+{.mfi
+      ldfe           fA10        = [rCoeffAddr2], 32 // Load A10
+      nop.f          0
+      nop.i          0
+};;
+
+{.mfi
+      ldfe           fA9         = [rCoeffAddr1], 32 // Load A9
+      nop.f          0
+      nop.i          0
+}
+{.mfi
+      ldfe           fA8         = [rCoeffAddr2], 32 // Load A8
+      nop.f          0
+      nop.i          0
+};;
+
+{.mfi
+      ldfe           fA7         = [rCoeffAddr1], 32 // Load A7
+      nop.f          0
+      nop.i          0
+}
+{.mfi
+      ldfe           fA6         = [rCoeffAddr2], 32 // Load A6
+      nop.f          0
+      nop.i          0
+};;
+
+{.mfi
+      ldfe           fA5         = [rCoeffAddr1], 32 // Load A5
+      fma.s1         fTDeg3      = fArgAbsNorm, fTSqr, f0 // x^3
+      nop.i          0
+}
+{.mfi
+      ldfe           fA4         = [rCoeffAddr2], 32 // Load A4
+      fma.s1         fTQuadr     = fTSqr, fTSqr, f0  // x^4
+      nop.i          0
+};;
+
+// Path #3 Polynomial Pol19(y) computation; y = fArgAbsNorm
+{.mfi
+      ldfe           fA3         = [rCoeffAddr3], 32            // Load A3
+      fma.s1         fArgAbsNormSgn = fArgAbsNorm, fSignumX, f0 // sign(x)*x
+      nop.i          0
+}
+{.mfi
+      ldfe           fA2         = [rCoeffAddr4], 32            // Load A2
+      nop.f          0
+      nop.i          0
+};;
+
+{.mfi
+      ldfe           fA1         = [rCoeffAddr3], 32       // Load A1
+      fma.s1         fRes        = fA19, fArgAbsNorm, fA18 // Polynomial
+      nop.i          0
+}
+{.mfi
+      ldfe           fA0         = [rCoeffAddr4], 32       // Load A0
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA17        = fA17, fArgAbsNorm, fA16  // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA15        = fA15, fArgAbsNorm, fA14  // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fTDeg7      = fTDeg3, fTQuadr, f0     // Polynomial
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA13        = fA13, fArgAbsNorm, fA12 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA11        = fA11, fArgAbsNorm, fA10 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA9         = fA9, fArgAbsNorm, fA8   // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes        = fRes, fTSqr, fA17       // Polynomial
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA7         = fA7, fArgAbsNorm, fA6 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA5         = fA5, fArgAbsNorm, f0  // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA15        = fA15, fTSqr, fA13     // Polynomial  
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA4         = fA4, fArgAbsNorm, fA3 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA2         = fA2, fArgAbsNorm, fA1 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA11        = fA11, fTSqr, fA9 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0                                       
+      fma.s1         fA7         = fA7, fTSqr, fA5  // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0                                       
+      fma.s1         fRes        = fRes, fTQuadr, fA15 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0                                       
+      fma.s1         fA4         = fA4, fTSqr, fA2     // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes        = fRes, fTQuadr, fA11 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0                                       
+      fma.s1         fA4         = fA7, fTDeg3, fA4    // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes        = fRes,  fTDeg7, fA4  // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      // result for negative argument
+(p15) fms.d.s0       f8          = fRes, fArgAbsNormSgn, fA0 // Polynomial
+      nop.i          0
+}
+{ .mfb
+      nop.m          0
+      // result for positive argument
+(p14) fma.d.s0       f8          = fRes, fArgAbsNormSgn, fA0 // Polynomial
+      br.ret.sptk    b0
+};;
+
+
+// |x| < 0.25 Path /////////////////////////////////////////////////////////////
+.align 32
+tanh_near_zero:
+{ .mfi
+      adds           rCoeffAddr1 = 0xC80, rDataPtr      // address of A9
+      fma.s0         fTSqr       = fArgSqr, fArgSqr, f0 // x^4 
+      nop.i          0
+}
+{ .mfi
+      adds           rCoeffAddr2 = 0xCB0, rDataPtr      // address of A7
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      ldfpd          fA9, fA8    = [rCoeffAddr1], 16 // Load A9, A8
+      nop.f          0
+      nop.i          0
+}
+{ .mfi
+      ldfpd          fA7, fA6    = [rCoeffAddr2], 16 // Load A7, A6
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      ldfpd          fA5, fA4    = [rCoeffAddr1], 16 // Load A5, A4
+      nop.f          0
+      nop.i          0
+}
+{ .mfi
+      ldfpd          fA3, fA2    = [rCoeffAddr2], 16 // Load A3, A2
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      ldfe           fA1         = [rCoeffAddr1] // Load A1
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fTQuadr     = fTSqr, fTSqr, f0 // x^4
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes        = fA9, fArgSqr, fA8 // Polynomial
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA7         = fA7, fArgSqr, fA6 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA3         = fA3, fArgSqr, fA2 // Polynomial
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA5         = fA5, fArgSqr, fA4 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA1         = fA1, fArgSqr, f0 // Polynomial
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fTQuadrSgn  = fTQuadr, f8, f0  // x^4 * x
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes        = fRes, fTSqr, fA7 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA1         = fA3, fTSqr, fA1 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes        = fRes, fTSqr, fA5 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes        = fRes, fTQuadr, fA1 // Polynomial
+      nop.i          0
+};;
+
+{ .mfb
+      nop.m          0
+      fma.d.s0       f8          = fRes, f8, f8 // x+x*Polynomial
+      br.ret.sptk    b0                         // Exit for |x| < 0.25
+};;
+
+
+
+
+
+// 19.0625 <= |x| < +inf Saturation path ///////////////////////////////////////
+.align 32
+tanh_saturation:
+{ .mfi
+      adds           rDataPtr    = 0xCD0, rDataPtr  // address of A0
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      ldfe           fA0         = [rDataPtr]       // Load  A0 = 2^(-63)
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfb
+      nop.m          0
+      fma.d.s0       f8          = fA0, fSignumX, f0 // sign(x)*(1.0-2^(-63))
+      br.ret.sptk    b0                       // Exit for 19.0625 <=|x|< +inf
+};;
+
+
+
+
+      
+//  0, denormals and special IEEE numbers path /////////////////////////////////
+_tanh_spec:
+
+{ .mfi 
+      cmp.lt         p15, p14    = rArg, r0 // Is arg negative (p15) 
+                                            // or positive p14)
+      fclass.m       p6,p0       = f8, 0x23 // To filter infinities
+                                          // 0x23 = @pos|@neg|@inf 
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fclass.m       p7,p0       = f8, 0xC7 // To filter NaNs & Zeros
+                                 // 0xC7 = @pos|@neg|@zero|@qnan|@snan
+      nop.i          0
+};;
+
+{ .mfb 
+      nop.m          0
+(p6)  fmerge.s       f8          = f8, f1     // +/-1 for INF args 
+(p6)  br.ret.spnt    b0                       // exit for x = INF
+};;
+
+{ .mfb 
+      nop.m          0
+(p7)  fma.d.s0       f8          = f8, f1, f8    // +/-0 for 0 args 
+                                                 // and NaNs for NaNs
+(p7)  br.ret.spnt    b0                          // exit for x = NaN or +/-0
+};;
+
+{ .mfi 
+      nop.m          0
+      fnorm.s0       f8          = f8            // Normalize arg
+      nop.i          0
+};;
+
+.pred.rel "mutex",p14,p15
+{ .mfi 
+      nop.m          0
+(p14) fnma.d.s0      f8          = f8, f8, f8  // res = r-r^2
+      nop.i          0
+}
+{ .mfb 
+      nop.m          0
+(p15) fma.d.s0       f8          = f8, f8, f8  // res = r+r^2
+      br.ret.sptk    b0          // 0, denormals, specials return
+};;
+
+GLOBAL_LIBM_END(tanh)
+
+