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-.file "atanhl.s" 
-
-
-// Copyright (c) 2001 - 2003, 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: 
-// 09/10/01  Initial version
-// 12/11/01  Corrected .restore syntax
-// 05/20/02  Cleaned up namespace and sf0 syntax
-// 02/10/03  Reordered header: .section, .global, .proc, .align;
-//           used data8 for long double table values
-//
-//*********************************************************************
-//
-//*********************************************************************
-//
-// Function: atanhl(x) computes the principle value of the inverse 
-// hyperbolic tangent of x.
-//
-//*********************************************************************
-//
-// Resources Used:
-//
-//    Floating-Point Registers: f8 (Input and Return Value)
-//                              f33-f73
-//
-//    General Purpose Registers:
-//      r32-r52
-//      r49-r52 (Used to pass arguments to error handling routine)
-//
-//    Predicate Registers:      p6-p15
-//
-//*********************************************************************
-//
-// IEEE Special Conditions:
-//
-//    atanhl(inf) = QNaN
-//    atanhl(-inf) = QNaN 
-//    atanhl(+/-0) = +/-0 
-//    atanhl(1) =  +inf 
-//    atanhl(-1) =  -inf 
-//    atanhl(|x|>1) = QNaN
-//    atanhl(SNaN) = QNaN
-//    atanhl(QNaN) = QNaN
-//
-//*********************************************************************
-//
-// Overview
-//
-// The method consists of two cases.
-//
-// If      |x| < 1/32  use case atanhl_near_zero;
-// else                 use case atanhl_regular;
-//
-// Case atanhl_near_zero:
-//
-//   atanhl(x) can be approximated by the Taylor series expansion
-//   up to order 17.
-//
-// Case atanhl_regular:
-//
-//   Here we use formula atanhl(x) = sign(x)*log1pl(2*|x|/(1-|x|))/2 and
-//   calculation is subdivided into two stages. The first stage is 
-//   calculating of X = 2*|x|/(1-|x|). The second one is calculating of 
-//   sign(x)*log1pl(X)/2. To obtain required accuracy we use precise division
-//   algorythm output of which is a pair of two extended precision values those
-//   approximate result of division with accuracy higher than working
-//   precision. This pair is passed to modified log1pl function.
-//
-//
-//   1. calculating of X = 2*|x|/(1-|x|)
-//   ( based on Peter Markstein's "IA-64 and Elementary Functions" book )
-//   ********************************************************************
-//
-//     a = 2*|x|
-//     b = 1 - |x|
-//     b_lo = |x| - (1 - b)
-//
-//     y = frcpa(b)         initial approximation of 1/b
-//     q = a*y              initial approximation of a/b
-//     
-//     e = 1 - b*y
-//     e2 = e + e^2
-//     e1 = e^2
-//     y1 = y + y*e2 = y + y*(e+e^2)
-//
-//     e3 = e + e1^2
-//     y2 = y + y1*e3 = y + y*(e+e^2+..+e^6)
-//
-//     r = a - b*q
-//     e = 1 - b*y2
-//     X = q + r*y2         high part of a/b
-//
-//     y3 = y2 + y2*e4
-//     r1 = a - b*X
-//     r1 = r1 - b_lo*X
-//     X_lo = r1*y3         low part of a/b
-//  
-//   2. special log1p algorithm overview
-//   ***********************************
-//
-//    Here we use a table lookup method. The basic idea is that in
-//    order to compute logl(Arg) = log1pl (Arg-1) for an argument Arg in [1,2), 
-//    we construct a value G such that G*Arg is close to 1 and that
-//    logl(1/G) is obtainable easily from a table of values calculated
-//    beforehand. Thus
-//
-//      logl(Arg) = logl(1/G) + logl(G*Arg)
-//           = logl(1/G) + logl(1 + (G*Arg - 1))
-//
-//    Because |G*Arg - 1| is small, the second term on the right hand
-//    side can be approximated by a short polynomial. We elaborate
-//    this method in several steps.
-//
-//    Step 0: Initialization
-//    ------
-//    We need to calculate logl(X + X_lo + 1). Obtain N, S_hi such that
-//
-//      X + X_lo + 1 = 2^N * ( S_hi + S_lo )   exactly
-//
-//    where S_hi in [1,2) and S_lo is a correction to S_hi in the sense
-//    that |S_lo| <= ulp(S_hi).
-//
-//    For the special version of log1p we add X_lo to S_lo (S_lo = S_lo + X_lo)
-//    !-----------------------------------------------------------------------!
-//
-//    Step 1: Argument Reduction
-//    ------
-//    Based on S_hi, obtain G_1, G_2, G_3 from a table and calculate
-//
-//      G := G_1 * G_2 * G_3
-//      r := (G * S_hi - 1) + G * S_lo
-//
-//    These G_j's have the property that the product is exactly 
-//    representable and that |r| < 2^(-12) as a result.
-//
-//    Step 2: Approximation
-//    ------
-//    logl(1 + r) is approximated by a short polynomial poly(r).
-//
-//    Step 3: Reconstruction
-//    ------
-//    Finally, log1pl(X + X_lo) = logl(X + X_lo + 1) is given by
-//
-//    logl(X + X_lo + 1) =  logl(2^N * (S_hi + S_lo))
-//                      ~=~ N*logl(2) + logl(1/G) + logl(1 + r)
-//                      ~=~ N*logl(2) + logl(1/G) + poly(r).
-//
-//    For detailed description see log1p1 function, regular path.
-//
-//*********************************************************************
-
-RODATA
-.align 64
-
-// ************* DO NOT CHANGE THE ORDER OF THESE TABLES *************
-
-LOCAL_OBJECT_START(Constants_TaylorSeries)
-data8  0xF0F0F0F0F0F0F0F1,0x00003FFA // C17
-data8  0x8888888888888889,0x00003FFB // C15
-data8  0x9D89D89D89D89D8A,0x00003FFB // C13
-data8  0xBA2E8BA2E8BA2E8C,0x00003FFB // C11
-data8  0xE38E38E38E38E38E,0x00003FFB // C9
-data8  0x9249249249249249,0x00003FFC // C7
-data8  0xCCCCCCCCCCCCCCCD,0x00003FFC // C5
-data8  0xAAAAAAAAAAAAAAAA,0x00003FFD // C3
-data4  0x3f000000                    // 1/2
-data4  0x00000000                    // pad 
-data4  0x00000000
-data4  0x00000000
-LOCAL_OBJECT_END(Constants_TaylorSeries)
-
-LOCAL_OBJECT_START(Constants_Q)
-data4  0x00000000,0xB1721800,0x00003FFE,0x00000000 // log2_hi
-data4  0x4361C4C6,0x82E30865,0x0000BFE2,0x00000000 // log2_lo
-data4  0x328833CB,0xCCCCCAF2,0x00003FFC,0x00000000 // Q4
-data4  0xA9D4BAFB,0x80000077,0x0000BFFD,0x00000000 // Q3
-data4  0xAAABE3D2,0xAAAAAAAA,0x00003FFD,0x00000000 // Q2
-data4  0xFFFFDAB7,0xFFFFFFFF,0x0000BFFD,0x00000000 // Q1
-LOCAL_OBJECT_END(Constants_Q)
-
-
-// Z1 - 16 bit fixed
-LOCAL_OBJECT_START(Constants_Z_1)
-data4  0x00008000
-data4  0x00007879
-data4  0x000071C8
-data4  0x00006BCB
-data4  0x00006667
-data4  0x00006187
-data4  0x00005D18
-data4  0x0000590C
-data4  0x00005556
-data4  0x000051EC
-data4  0x00004EC5
-data4  0x00004BDB
-data4  0x00004925
-data4  0x0000469F
-data4  0x00004445
-data4  0x00004211
-LOCAL_OBJECT_END(Constants_Z_1)
-
-// G1 and H1 - IEEE single and h1 - IEEE double
-LOCAL_OBJECT_START(Constants_G_H_h1)
-data4  0x3F800000,0x00000000
-data8  0x0000000000000000
-data4  0x3F70F0F0,0x3D785196
-data8  0x3DA163A6617D741C
-data4  0x3F638E38,0x3DF13843
-data8  0x3E2C55E6CBD3D5BB
-data4  0x3F579430,0x3E2FF9A0
-data8  0xBE3EB0BFD86EA5E7
-data4  0x3F4CCCC8,0x3E647FD6
-data8  0x3E2E6A8C86B12760
-data4  0x3F430C30,0x3E8B3AE7
-data8  0x3E47574C5C0739BA
-data4  0x3F3A2E88,0x3EA30C68
-data8  0x3E20E30F13E8AF2F
-data4  0x3F321640,0x3EB9CEC8
-data8  0xBE42885BF2C630BD
-data4  0x3F2AAAA8,0x3ECF9927
-data8  0x3E497F3497E577C6
-data4  0x3F23D708,0x3EE47FC5
-data8  0x3E3E6A6EA6B0A5AB
-data4  0x3F1D89D8,0x3EF8947D
-data8  0xBDF43E3CD328D9BE
-data4  0x3F17B420,0x3F05F3A1
-data8  0x3E4094C30ADB090A
-data4  0x3F124920,0x3F0F4303
-data8  0xBE28FBB2FC1FE510
-data4  0x3F0D3DC8,0x3F183EBF
-data8  0x3E3A789510FDE3FA
-data4  0x3F088888,0x3F20EC80
-data8  0x3E508CE57CC8C98F
-data4  0x3F042108,0x3F29516A
-data8  0xBE534874A223106C
-LOCAL_OBJECT_END(Constants_G_H_h1)
-
-// Z2 - 16 bit fixed
-LOCAL_OBJECT_START(Constants_Z_2)
-data4  0x00008000
-data4  0x00007F81
-data4  0x00007F02
-data4  0x00007E85
-data4  0x00007E08
-data4  0x00007D8D
-data4  0x00007D12
-data4  0x00007C98
-data4  0x00007C20
-data4  0x00007BA8
-data4  0x00007B31
-data4  0x00007ABB
-data4  0x00007A45
-data4  0x000079D1
-data4  0x0000795D
-data4  0x000078EB
-LOCAL_OBJECT_END(Constants_Z_2)
-
-// G2 and H2 - IEEE single and h2 - IEEE double
-LOCAL_OBJECT_START(Constants_G_H_h2)
-data4  0x3F800000,0x00000000
-data8  0x0000000000000000
-data4  0x3F7F00F8,0x3B7F875D
-data8  0x3DB5A11622C42273
-data4  0x3F7E03F8,0x3BFF015B
-data8  0x3DE620CF21F86ED3
-data4  0x3F7D08E0,0x3C3EE393
-data8  0xBDAFA07E484F34ED
-data4  0x3F7C0FC0,0x3C7E0586
-data8  0xBDFE07F03860BCF6
-data4  0x3F7B1880,0x3C9E75D2
-data8  0x3DEA370FA78093D6
-data4  0x3F7A2328,0x3CBDC97A
-data8  0x3DFF579172A753D0
-data4  0x3F792FB0,0x3CDCFE47
-data8  0x3DFEBE6CA7EF896B
-data4  0x3F783E08,0x3CFC15D0
-data8  0x3E0CF156409ECB43
-data4  0x3F774E38,0x3D0D874D
-data8  0xBE0B6F97FFEF71DF
-data4  0x3F766038,0x3D1CF49B
-data8  0xBE0804835D59EEE8
-data4  0x3F757400,0x3D2C531D
-data8  0x3E1F91E9A9192A74
-data4  0x3F748988,0x3D3BA322
-data8  0xBE139A06BF72A8CD
-data4  0x3F73A0D0,0x3D4AE46F
-data8  0x3E1D9202F8FBA6CF
-data4  0x3F72B9D0,0x3D5A1756
-data8  0xBE1DCCC4BA796223
-data4  0x3F71D488,0x3D693B9D
-data8  0xBE049391B6B7C239
-LOCAL_OBJECT_END(Constants_G_H_h2)
-
-// G3 and H3 - IEEE single and h3 - IEEE double 
-LOCAL_OBJECT_START(Constants_G_H_h3)
-data4  0x3F7FFC00,0x38800100
-data8  0x3D355595562224CD
-data4  0x3F7FF400,0x39400480
-data8  0x3D8200A206136FF6
-data4  0x3F7FEC00,0x39A00640
-data8  0x3DA4D68DE8DE9AF0
-data4  0x3F7FE400,0x39E00C41
-data8  0xBD8B4291B10238DC
-data4  0x3F7FDC00,0x3A100A21
-data8  0xBD89CCB83B1952CA
-data4  0x3F7FD400,0x3A300F22
-data8  0xBDB107071DC46826
-data4  0x3F7FCC08,0x3A4FF51C
-data8  0x3DB6FCB9F43307DB
-data4  0x3F7FC408,0x3A6FFC1D
-data8  0xBD9B7C4762DC7872
-data4  0x3F7FBC10,0x3A87F20B
-data8  0xBDC3725E3F89154A
-data4  0x3F7FB410,0x3A97F68B
-data8  0xBD93519D62B9D392
-data4  0x3F7FAC18,0x3AA7EB86
-data8  0x3DC184410F21BD9D
-data4  0x3F7FA420,0x3AB7E101
-data8  0xBDA64B952245E0A6
-data4  0x3F7F9C20,0x3AC7E701
-data8  0x3DB4B0ECAABB34B8
-data4  0x3F7F9428,0x3AD7DD7B
-data8  0x3D9923376DC40A7E
-data4  0x3F7F8C30,0x3AE7D474
-data8  0x3DC6E17B4F2083D3
-data4  0x3F7F8438,0x3AF7CBED
-data8  0x3DAE314B811D4394
-data4  0x3F7F7C40,0x3B03E1F3
-data8  0xBDD46F21B08F2DB1
-data4  0x3F7F7448,0x3B0BDE2F
-data8  0xBDDC30A46D34522B
-data4  0x3F7F6C50,0x3B13DAAA
-data8  0x3DCB0070B1F473DB
-data4  0x3F7F6458,0x3B1BD766
-data8  0xBDD65DDC6AD282FD
-data4  0x3F7F5C68,0x3B23CC5C
-data8  0xBDCDAB83F153761A
-data4  0x3F7F5470,0x3B2BC997
-data8  0xBDDADA40341D0F8F
-data4  0x3F7F4C78,0x3B33C711
-data8  0x3DCD1BD7EBC394E8
-data4  0x3F7F4488,0x3B3BBCC6
-data8  0xBDC3532B52E3E695
-data4  0x3F7F3C90,0x3B43BAC0
-data8  0xBDA3961EE846B3DE
-data4  0x3F7F34A0,0x3B4BB0F4
-data8  0xBDDADF06785778D4
-data4  0x3F7F2CA8,0x3B53AF6D
-data8  0x3DCC3ED1E55CE212
-data4  0x3F7F24B8,0x3B5BA620
-data8  0xBDBA31039E382C15
-data4  0x3F7F1CC8,0x3B639D12
-data8  0x3D635A0B5C5AF197
-data4  0x3F7F14D8,0x3B6B9444
-data8  0xBDDCCB1971D34EFC
-data4  0x3F7F0CE0,0x3B7393BC
-data8  0x3DC7450252CD7ADA
-data4  0x3F7F04F0,0x3B7B8B6D
-data8  0xBDB68F177D7F2A42
-LOCAL_OBJECT_END(Constants_G_H_h3)
-
-
-
-// Floating Point Registers
-
-FR_C17              = f50
-FR_C15              = f51
-FR_C13              = f52
-FR_C11              = f53
-FR_C9               = f54
-FR_C7               = f55
-FR_C5               = f56
-FR_C3               = f57
-FR_x2               = f58
-FR_x3               = f59
-FR_x4               = f60
-FR_x8               = f61
-
-FR_Rcp              = f61
-
-FR_A                = f33
-FR_R1               = f33
-
-FR_E1               = f34
-FR_E3               = f34
-FR_Y2               = f34
-FR_Y3               = f34
-
-FR_E2               = f35
-FR_Y1               = f35
-
-FR_B                = f36
-FR_Y0               = f37
-FR_E0               = f38
-FR_E4               = f39
-FR_Q0               = f40
-FR_R0               = f41
-FR_B_lo             = f42
-
-FR_abs_x            = f43
-FR_Bp               = f44
-FR_Bn               = f45
-FR_Yp               = f46
-FR_Yn               = f47
-
-FR_X                = f48
-FR_BB               = f48
-FR_X_lo             = f49
-
-FR_G                = f50
-FR_Y_hi             = f51
-FR_H                = f51
-FR_h                = f52
-FR_G2               = f53
-FR_H2               = f54
-FR_h2               = f55
-FR_G3               = f56
-FR_H3               = f57
-FR_h3               = f58
-
-FR_Q4               = f59
-FR_poly_lo          = f59
-FR_Y_lo             = f59
-
-FR_Q3               = f60
-FR_Q2               = f61
-
-FR_Q1               = f62
-FR_poly_hi          = f62
-
-FR_float_N          = f63
-
-FR_AA               = f64
-FR_S_lo             = f64
-
-FR_S_hi             = f65
-FR_r                = f65
-
-FR_log2_hi          = f66
-FR_log2_lo          = f67
-FR_Z                = f68
-FR_2_to_minus_N     = f69
-FR_rcub             = f70
-FR_rsq              = f71
-FR_05r              = f72
-FR_Half             = f73
-
-FR_Arg_X            = f50
-FR_Arg_Y            = f0
-FR_RESULT           = f8
-
-
-
-// General Purpose Registers
-
-GR_ad_05            = r33
-GR_Index1           = r34
-GR_ArgExp           = r34
-GR_Index2           = r35
-GR_ExpMask          = r35
-GR_NearZeroBound    = r36
-GR_signif           = r36
-GR_X_0              = r37
-GR_X_1              = r37
-GR_X_2              = r38
-GR_Index3           = r38
-GR_minus_N          = r39
-GR_Z_1              = r40
-GR_Z_2              = r40
-GR_N                = r41
-GR_Bias             = r42
-GR_M                = r43
-GR_ad_taylor        = r44
-GR_ad_taylor_2      = r45
-GR_ad2_tbl_3        = r45
-GR_ad_tbl_1         = r46
-GR_ad_tbl_2         = r47
-GR_ad_tbl_3         = r48
-GR_ad_q             = r49
-GR_ad_z_1           = r50
-GR_ad_z_2           = r51
-GR_ad_z_3           = r52
-
-//
-// Added for unwind support
-//
-GR_SAVE_PFS         = r46
-GR_SAVE_B0          = r47
-GR_SAVE_GP          = r48
-GR_Parameter_X      = r49
-GR_Parameter_Y      = r50
-GR_Parameter_RESULT = r51
-GR_Parameter_TAG    = r52
-
-
-
-.section .text
-GLOBAL_LIBM_ENTRY(atanhl)
-
-{ .mfi
-      alloc         r32 = ar.pfs,0,17,4,0
-      fnma.s1       FR_Bp = f8,f1,f1 // b = 1 - |arg| (for x>0)
-      mov           GR_ExpMask = 0x1ffff
-}                    
-{ .mfi                
-      addl          GR_ad_taylor = @ltoff(Constants_TaylorSeries),gp
-      fma.s1        FR_Bn = f8,f1,f1 // b = 1 - |arg| (for x<0)
-      mov           GR_NearZeroBound = 0xfffa  // biased exp of 1/32
-};;                    
-{ .mfi                
-      getf.exp      GR_ArgExp = f8
-      fcmp.lt.s1    p6,p7 = f8,f0 // is negative?
-      nop.i         0
-}                    
-{ .mfi                
-      ld8           GR_ad_taylor = [GR_ad_taylor]
-      fmerge.s      FR_abs_x =  f1,f8
-      nop.i         0
-};;                    
-{ .mfi                
-      nop.m         0
-      fclass.m      p8,p0 = f8,0x1C7 // is arg NaT,Q/SNaN or +/-0 ?
-      nop.i         0
-}
-{ .mfi                
-      nop.m         0
-      fma.s1        FR_x2 = f8,f8,f0
-      nop.i         0
-};;                    
-{ .mfi                
-      add           GR_ad_z_1 = 0x0F0,GR_ad_taylor
-      fclass.m      p9,p0 = f8,0x0a // is arg -denormal ?
-      add           GR_ad_taylor_2 = 0x010,GR_ad_taylor
-}                    
-{ .mfi                
-      add           GR_ad_05 = 0x080,GR_ad_taylor
-      nop.f         0
-      nop.i         0
-};;                    
-{ .mfi                
-      ldfe          FR_C17 = [GR_ad_taylor],32
-      fclass.m      p10,p0 = f8,0x09 // is arg +denormal ?
-      add           GR_ad_tbl_1 = 0x040,GR_ad_z_1 // point to Constants_G_H_h1
-}                    
-{ .mfb                
-      add           GR_ad_z_2 = 0x140,GR_ad_z_1 // point to Constants_Z_2
- (p8) fma.s0        f8 =  f8,f1,f0 // NaN or +/-0
- (p8) br.ret.spnt   b0             // exit for Nan or +/-0
-};;                    
-{ .mfi                
-      ldfe          FR_C15 = [GR_ad_taylor_2],32
-      fclass.m      p15,p0 = f8,0x23 // is +/-INF ?
-      add           GR_ad_tbl_2 = 0x180,GR_ad_z_1 // point to Constants_G_H_h2
-}                    
-{ .mfb                
-      ldfe          FR_C13 = [GR_ad_taylor],32
- (p9) fnma.s0       f8 =  f8,f8,f8 // -denormal
- (p9) br.ret.spnt   b0             // exit for -denormal
-};;                    
-{ .mfi                
-      ldfe          FR_C11 = [GR_ad_taylor_2],32
-      fcmp.eq.s0       p13,p0 = FR_abs_x,f1 // is |arg| = 1?
-      nop.i         0
-}                    
-{ .mfb                
-      ldfe          FR_C9 = [GR_ad_taylor],32
-(p10) fma.s0        f8 =  f8,f8,f8 // +denormal
-(p10) br.ret.spnt   b0             // exit for +denormal
-};;                    
-{ .mfi                
-      ldfe          FR_C7 = [GR_ad_taylor_2],32
- (p6) frcpa.s1      FR_Yn,p11 = f1,FR_Bn // y = frcpa(b)
-      and           GR_ArgExp = GR_ArgExp,GR_ExpMask // biased exponent
-}                    
-{ .mfb                
-      ldfe          FR_C5 = [GR_ad_taylor],32
-      fnma.s1       FR_B = FR_abs_x,f1,f1 // b = 1 - |arg|
-(p15) br.cond.spnt  atanhl_gt_one // |arg| > 1
-};;
-{ .mfb
-      cmp.gt        p14,p0 = GR_NearZeroBound,GR_ArgExp
- (p7) frcpa.s1      FR_Yp,p12 = f1,FR_Bp // y = frcpa(b)
-(p13) br.cond.spnt  atanhl_eq_one // |arg| = 1/32
-}
-{ .mfb
-      ldfe          FR_C3 = [GR_ad_taylor_2],32
-      fma.s1        FR_A = FR_abs_x,f1,FR_abs_x // a = 2 * |arg|
-(p14) br.cond.spnt  atanhl_near_zero // |arg| < 1/32
-};;
-{ .mfi
-      nop.m         0
-      fcmp.gt.s0       p8,p0 = FR_abs_x,f1 // is |arg| > 1 ?
-      nop.i         0
-};;
-.pred.rel "mutex",p6,p7
-{ .mfi
-      nop.m         0
- (p6) fnma.s1       FR_B_lo = FR_Bn,f1,f1 // argt = 1 - (1 - |arg|)
-      nop.i         0
-}
-{ .mfi
-      ldfs          FR_Half = [GR_ad_05]
- (p7) fnma.s1       FR_B_lo = FR_Bp,f1,f1
-      nop.i         0
-};;                    
-{ .mfi
-      nop.m         0
- (p6) fnma.s1       FR_E0 = FR_Yn,FR_Bn,f1 // e = 1-b*y 
-      nop.i         0
-}                    
-{ .mfb                
-      nop.m         0
- (p6) fma.s1        FR_Y0 = FR_Yn,f1,f0
- (p8) br.cond.spnt  atanhl_gt_one // |arg| > 1
-};;
-{ .mfi
-      nop.m         0
- (p7) fnma.s1       FR_E0 = FR_Yp,FR_Bp,f1 
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
- (p6) fma.s1        FR_Q0 = FR_A,FR_Yn,f0 // q = a*y
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
- (p7) fma.s1        FR_Q0 = FR_A,FR_Yp,f0
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
- (p7) fma.s1        FR_Y0 = FR_Yp,f1,f0
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fclass.nm     p10,p0 = f8,0x1FF  // test for unsupported
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_E2 = FR_E0,FR_E0,FR_E0 // e2 = e+e^2
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      fma.s1        FR_E1 = FR_E0,FR_E0,f0 // e1 = e^2
-      nop.i         0
-};;
-{ .mfb
-      nop.m         0
-//    Return generated NaN or other value for unsupported values.
-(p10) fma.s0        f8 = f8, f0, f0
-(p10) br.ret.spnt   b0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_Y1 = FR_Y0,FR_E2,FR_Y0 // y1 = y+y*e2
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      fma.s1        FR_E3 = FR_E1,FR_E1,FR_E0 // e3 = e+e1^2
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fnma.s1       FR_B_lo = FR_abs_x,f1,FR_B_lo // b_lo = argt-|arg|
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_Y2 = FR_Y1,FR_E3,FR_Y0 // y2 = y+y1*e3
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      fnma.s1       FR_R0 = FR_B,FR_Q0,FR_A // r = a-b*q
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fnma.s1       FR_E4 = FR_B,FR_Y2,f1 // e4 = 1-b*y2
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      fma.s1        FR_X = FR_R0,FR_Y2,FR_Q0 // x = q+r*y2
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_Z = FR_X,f1,f1 // x+1
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
- (p6) fnma.s1       FR_Half = FR_Half,f1,f0 // sign(arg)/2
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_Y3 = FR_Y2,FR_E4,FR_Y2 // y3 = y2+y2*e4
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      fnma.s1       FR_R1 = FR_B,FR_X,FR_A // r1 = a-b*x
-      nop.i         0
-};;
-{ .mfi
-      getf.sig      GR_signif = FR_Z // get significand of x+1
-      nop.f         0
-      nop.i         0
-};;
-
-
-{ .mfi
-      add           GR_ad_q = -0x060,GR_ad_z_1
-      nop.f         0
-      extr.u        GR_Index1 = GR_signif,59,4 // get high 4 bits of signif
-}
-{ .mfi
-      add           GR_ad_tbl_3 = 0x280,GR_ad_z_1 // point to Constants_G_H_h3
-      nop.f         0
-      nop.i         0
-};;
-{ .mfi
-      shladd        GR_ad_z_1 = GR_Index1,2,GR_ad_z_1 // point to Z_1
-      nop.f         0
-      extr.u        GR_X_0 = GR_signif,49,15 // get high 15 bits of significand
-};;
-{ .mfi
-      ld4           GR_Z_1 = [GR_ad_z_1] // load Z_1
-      fmax.s1       FR_AA = FR_X,f1 // for S_lo,form AA = max(X,1.0)
-      nop.i         0
-}
-{ .mfi
-      shladd        GR_ad_tbl_1 = GR_Index1,4,GR_ad_tbl_1 // point to G_1
-      nop.f         0
-      mov           GR_Bias = 0x0FFFF // exponent bias
-};;
-{ .mfi
-      ldfps         FR_G,FR_H = [GR_ad_tbl_1],8  // load G_1,H_1
-      fmerge.se     FR_S_hi =  f1,FR_Z // form |x+1|
-      nop.i         0
-};;
-{ .mfi
-      getf.exp      GR_N =  FR_Z // get N = exponent of x+1
-      nop.f         0
-      nop.i         0
-}
-{ .mfi
-      ldfd          FR_h = [GR_ad_tbl_1] // load h_1
-      fnma.s1       FR_R1 = FR_B_lo,FR_X,FR_R1 // r1 = r1-b_lo*x
-      nop.i         0
-};;
-{ .mfi
-      ldfe          FR_log2_hi = [GR_ad_q],16 // load log2_hi
-      nop.f         0
-      pmpyshr2.u    GR_X_1 = GR_X_0,GR_Z_1,15 // get bits 30-15 of X_0 * Z_1
-};;
-//
-//    For performance,don't use result of pmpyshr2.u for 4 cycles.
-//
-{ .mfi
-      ldfe          FR_log2_lo = [GR_ad_q],16 // load log2_lo
-      nop.f         0
-      sub           GR_N = GR_N,GR_Bias 
-};;
-{ .mfi
-      ldfe          FR_Q4 = [GR_ad_q],16  // load Q4
-      fms.s1        FR_S_lo = FR_AA,f1,FR_Z // form S_lo = AA - Z 
-      sub           GR_minus_N = GR_Bias,GR_N // form exponent of 2^(-N)
-};;
-{ .mmf
-      ldfe          FR_Q3 = [GR_ad_q],16 // load Q3
-      // put integer N into rightmost significand
-      setf.sig      FR_float_N = GR_N
-      fmin.s1       FR_BB = FR_X,f1 // for S_lo,form BB = min(X,1.0)
-};;
-{ .mfi
-      ldfe          FR_Q2 = [GR_ad_q],16 // load Q2
-      nop.f         0
-      extr.u        GR_Index2 = GR_X_1,6,4 // extract bits 6-9 of X_1 
-};;
-{ .mmi
-      ldfe          FR_Q1 = [GR_ad_q] // load Q1
-      shladd        GR_ad_z_2 = GR_Index2,2,GR_ad_z_2 // point to Z_2
-      nop.i         0
-};;
-{ .mmi
-      ld4           GR_Z_2 = [GR_ad_z_2] // load Z_2
-      shladd        GR_ad_tbl_2 = GR_Index2,4,GR_ad_tbl_2 // point to G_2
-      nop.i         0
-};;
-{ .mfi
-      ldfps         FR_G2,FR_H2 = [GR_ad_tbl_2],8 // load G_2,H_2
-      nop.f         0
-      nop.i         0
-};;
-{ .mfi
-      ldfd          FR_h2 = [GR_ad_tbl_2] // load h_2
-      fma.s1        FR_S_lo = FR_S_lo,f1,FR_BB // S_lo = S_lo + BB
-      nop.i         0
-}
-{ .mfi
-      setf.exp      FR_2_to_minus_N = GR_minus_N // form 2^(-N)
-      fma.s1        FR_X_lo = FR_R1,FR_Y3,f0 // x_lo = r1*y3
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      nop.f         0
-      pmpyshr2.u    GR_X_2 = GR_X_1,GR_Z_2,15 // get bits 30-15 of X_1 * Z_2
-};;
-//
-//    For performance,don't use result of pmpyshr2.u for 4 cycles
-//
-{ .mfi
-      add           GR_ad2_tbl_3 = 8,GR_ad_tbl_3
-      nop.f         0
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      nop.f         0 
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      nop.f         0 
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      nop.f         0 
-      nop.i         0
-};;
-
-//
-//    Now GR_X_2 can be used
-//
-{ .mfi
-      nop.m         0
-      nop.f         0
-      extr.u        GR_Index3 = GR_X_2,1,5 // extract bits 1-5 of X_2
-}
-{ .mfi
-      nop.m         0
-      fma.s1        FR_S_lo = FR_S_lo,f1,FR_X_lo // S_lo = S_lo + Arg_lo
-      nop.i         0
-};;
-
-{ .mfi
-      shladd        GR_ad_tbl_3 = GR_Index3,4,GR_ad_tbl_3 // point to G_3
-      fcvt.xf       FR_float_N = FR_float_N
-      nop.i         0
-}
-{ .mfi
-      shladd        GR_ad2_tbl_3 = GR_Index3,4,GR_ad2_tbl_3 // point to h_3
-      fma.s1        FR_Q1 = FR_Q1,FR_Half,f0 // sign(arg)*Q1/2
-      nop.i         0
-};;
-{ .mmi
-      ldfps         FR_G3,FR_H3 = [GR_ad_tbl_3],8 // load G_3,H_3
-      ldfd          FR_h3 = [GR_ad2_tbl_3] // load h_3
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fmpy.s1       FR_G = FR_G,FR_G2 // G = G_1 * G_2
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      fadd.s1       FR_H = FR_H,FR_H2 // H = H_1 + H_2
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fadd.s1       FR_h = FR_h,FR_h2 // h = h_1 + h_2
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      // S_lo = S_lo * 2^(-N)
-      fma.s1        FR_S_lo = FR_S_lo,FR_2_to_minus_N,f0
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fmpy.s1       FR_G = FR_G,FR_G3 // G = (G_1 * G_2) * G_3
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      fadd.s1       FR_H = FR_H,FR_H3 // H = (H_1 + H_2) + H_3
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fadd.s1       FR_h = FR_h,FR_h3 // h = (h_1 + h_2) + h_3
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fms.s1        FR_r = FR_G,FR_S_hi,f1 // r = G * S_hi - 1
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      // Y_hi = N * log2_hi + H
-      fma.s1        FR_Y_hi = FR_float_N,FR_log2_hi,FR_H
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_h = FR_float_N,FR_log2_lo,FR_h // h = N * log2_lo + h
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_r = FR_G,FR_S_lo,FR_r // r = G * S_lo + (G * S_hi - 1)
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_poly_lo = FR_r,FR_Q4,FR_Q3 // poly_lo = r * Q4 + Q3
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      fmpy.s1       FR_rsq = FR_r,FR_r // rsq = r * r
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_05r = FR_r,FR_Half,f0 // sign(arg)*r/2
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      // poly_lo = poly_lo * r + Q2
-      fma.s1        FR_poly_lo = FR_poly_lo,FR_r,FR_Q2
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      fma.s1        FR_rcub = FR_rsq,FR_r,f0 // rcub = r^3
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      // poly_hi = sing(arg)*(Q1*r^2 + r)/2
-      fma.s1        FR_poly_hi = FR_Q1,FR_rsq,FR_05r
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      // poly_lo = poly_lo*r^3 + h
-      fma.s1        FR_poly_lo = FR_poly_lo,FR_rcub,FR_h
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      // Y_lo = poly_hi + poly_lo/2
-      fma.s0        FR_Y_lo = FR_poly_lo,FR_Half,FR_poly_hi
-      nop.i         0
-};;
-{ .mfb
-      nop.m         0
-     // Result = arctanh(x) = Y_hi/2 + Y_lo
-      fma.s0        f8 = FR_Y_hi,FR_Half,FR_Y_lo
-      br.ret.sptk   b0
-};;
-
-// Taylor's series
-atanhl_near_zero:
-{ .mfi
-      nop.m         0
-      fma.s1        FR_x3 = FR_x2,f8,f0
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      fma.s1        FR_x4 = FR_x2,FR_x2,f0
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_C17 = FR_C17,FR_x2,FR_C15
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      fma.s1        FR_C13 = FR_C13,FR_x2,FR_C11
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_C9 = FR_C9,FR_x2,FR_C7
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      fma.s1        FR_C5 = FR_C5,FR_x2,FR_C3
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_x8 = FR_x4,FR_x4,f0
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_C17 = FR_C17,FR_x4,FR_C13
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_C9 = FR_C9,FR_x4,FR_C5
-      nop.i         0
-};;
-{ .mfi
-      nop.m         0
-      fma.s1        FR_C17 = FR_C17,FR_x8,FR_C9
-      nop.i         0
-};;
-{ .mfb
-      nop.m         0
-      fma.s0        f8 = FR_C17,FR_x3,f8
-      br.ret.sptk   b0 
-};;
-
-atanhl_eq_one:
-{ .mfi
-      nop.m         0
-      frcpa.s0      FR_Rcp,p0 = f1,f0 // get inf,and raise Z flag
-      nop.i         0
-}
-{ .mfi
-      nop.m         0
-      fmerge.s      FR_Arg_X = f8, f8
-      nop.i         0
-};;
-{ .mfb
-      mov           GR_Parameter_TAG = 130
-      fmerge.s      FR_RESULT = f8,FR_Rcp // result is +-inf
-      br.cond.sptk  __libm_error_region // exit if |x| = 1.0
-};;
-
-atanhl_gt_one:
-{ .mfi
-      nop.m         0
-      fmerge.s      FR_Arg_X = f8, f8
-      nop.i         0
-};;
-{ .mfb
-      mov           GR_Parameter_TAG = 129
-      frcpa.s0      FR_RESULT,p0 = f0,f0 // get QNaN,and raise invalid
-      br.cond.sptk  __libm_error_region // exit if |x| > 1.0
-};;
-
-GLOBAL_LIBM_END(atanhl)
-
-LOCAL_LIBM_ENTRY(__libm_error_region)
-.prologue
-{ .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
-        nop.f 0
-.save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
-}
-{ .mfi
-.fframe 64
-        add sp=-64,sp                           // Create new stack
-        nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
-};;
-{ .mmi
-        stfe [GR_Parameter_Y] = FR_Arg_Y,16     // Save Parameter 2 on stack
-        add GR_Parameter_X = 16,sp              // Parameter 1 address
-.save   b0,GR_SAVE_B0
-        mov GR_SAVE_B0=b0                       // Save b0
-};;
-.body
-{ .mib
-        stfe [GR_Parameter_X] = FR_Arg_X        // Store Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
-        nop.b 0                                 // Parameter 3 address
-}
-{ .mib
-        stfe [GR_Parameter_Y] = FR_RESULT       // Store Parameter 3 on stack
-        add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#  // Call error handling function
-};;
-{ .mmi
-        nop.m 0
-        nop.m 0
-        add   GR_Parameter_RESULT = 48,sp
-};;
-{ .mmi
-        ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
-.restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
-};;
-{ .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
-};;
-
-LOCAL_LIBM_END(__libm_error_region#)
-
-.type   __libm_error_support#,@function
-.global __libm_error_support#