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-.file "cosh.s"
-
-
-// Copyright (c) 2000 - 2005, Intel Corporation
-// All rights reserved.
-//
-// Contributed 2000 by the Intel Numerics Group, Intel Corporation
-//
-// Redistribution and use in source and binary forms, with or without
-// modification, are permitted provided that the following conditions are
-// 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
-//==============================================================
-// 02/02/00 Initial version
-// 04/04/00 Unwind support added
-// 08/15/00 Bundle added after call to __libm_error_support to properly
-//          set [the previously overwritten] GR_Parameter_RESULT.
-// 05/07/01 Reworked to improve speed of all paths
-// 05/20/02 Cleaned up namespace and sf0 syntax
-// 11/15/02 Improved speed with new algorithm
-// 03/31/05 Reformatted delimiters between data tables
-
-// API
-//==============================================================
-// double cosh(double)
-
-// Overview of operation
-//==============================================================
-// Case 1:  0 < |x| < 0.25
-//  Evaluate cosh(x) by a 12th order polynomial
-//  Care is take for the order of multiplication; and A2 is not exactly 1/4!,
-//  A3 is not exactly 1/6!, etc.
-//  cosh(x) = 1 + (A1*x^2 + A2*x^4 + A3*x^6 + A4*x^8 + A5*x^10 + A6*x^12)
-//
-// Case 2:  0.25 < |x| < 710.47586
-//  Algorithm is based on the identity cosh(x) = ( exp(x) + exp(-x) ) / 2.
-//  The algorithm for exp is described as below.  There are a number of
-//  economies from evaluating both exp(x) and exp(-x).  Although we
-//  are evaluating both quantities, only where the quantities diverge do we
-//  duplicate the computations.  The basic algorithm for exp(x) is described
-//  below.
-//
-// Take the input x. w is "how many log2/128 in x?"
-//  w = x * 128/log2
-//  n = int(w)
-//  x = n log2/128 + r + delta
-
-//  n = 128M + index_1 + 2^4 index_2
-//  x = M log2 + (log2/128) index_1 + (log2/8) index_2 + r + delta
-
-//  exp(x) = 2^M  2^(index_1/128)  2^(index_2/8) exp(r) exp(delta)
-//       Construct 2^M
-//       Get 2^(index_1/128) from table_1;
-//       Get 2^(index_2/8)   from table_2;
-//       Calculate exp(r) by 5th order polynomial
-//          r = x - n (log2/128)_high
-//          delta = - n (log2/128)_low
-//       Calculate exp(delta) as 1 + delta
-
-
-// Special values
-//==============================================================
-// cosh(+0)    = 1.0
-// cosh(-0)    = 1.0
-
-// cosh(+qnan) = +qnan
-// cosh(-qnan) = -qnan
-// cosh(+snan) = +qnan
-// cosh(-snan) = -qnan
-
-// cosh(-inf)  = +inf
-// cosh(+inf)  = +inf
-
-// Overflow and Underflow
-//=======================
-// cosh(x) = largest double normal when
-//     x = 710.47586 = 0x408633ce8fb9f87d
-//
-// There is no underflow.
-
-// Registers used
-//==============================================================
-// Floating Point registers used:
-// f8, input, output
-// f6 -> f15,  f32 -> f61
-
-// General registers used:
-// r14 -> r40
-
-// Predicate registers used:
-// p6 -> p15
-
-// Assembly macros
-//==============================================================
-
-rRshf                 = r14
-rN_neg                = r14
-rAD_TB1               = r15
-rAD_TB2               = r16
-rAD_P                 = r17
-rN                    = r18
-rIndex_1              = r19
-rIndex_2_16           = r20
-rM                    = r21
-rBiased_M             = r21
-rSig_inv_ln2          = r22
-rIndex_1_neg          = r22
-rExp_bias             = r23
-rExp_bias_minus_1     = r23
-rExp_mask             = r24
-rTmp                  = r24
-rGt_ln                = r24
-rIndex_2_16_neg       = r24
-rM_neg                = r25
-rBiased_M_neg         = r25
-rRshf_2to56           = r26
-rAD_T1_neg            = r26
-rExp_2tom56           = r28
-rAD_T2_neg            = r28
-rAD_T1                = r29
-rAD_T2                = r30
-rSignexp_x            = r31
-rExp_x                = r31
-
-GR_SAVE_B0            = r33
-GR_SAVE_PFS           = r34
-GR_SAVE_GP            = r35
-GR_SAVE_SP            = r36
-
-GR_Parameter_X        = r37
-GR_Parameter_Y        = r38
-GR_Parameter_RESULT   = r39
-GR_Parameter_TAG      = r40
-
-
-FR_X                  = f10
-FR_Y                  = f1
-FR_RESULT             = f8
-
-fRSHF_2TO56           = f6
-fINV_LN2_2TO63        = f7
-fW_2TO56_RSH          = f9
-f2TOM56               = f11
-fP5                   = f12
-fP4                   = f13
-fP3                   = f14
-fP2                   = f15
-
-fLn2_by_128_hi        = f33
-fLn2_by_128_lo        = f34
-
-fRSHF                 = f35
-fNfloat               = f36
-fNormX                = f37
-fR                    = f38
-fF                    = f39
-
-fRsq                  = f40
-f2M                   = f41
-fS1                   = f42
-fT1                   = f42
-fS2                   = f43
-fT2                   = f43
-fS                    = f43
-fWre_urm_f8           = f44
-fAbsX                 = f44
-
-fMIN_DBL_OFLOW_ARG    = f45
-fMAX_DBL_NORM_ARG     = f46
-fXsq                  = f47
-fX4                   = f48
-fGt_pln               = f49
-fTmp                  = f49
-
-fP54                  = f50
-fP5432                = f50
-fP32                  = f51
-fP                    = f52
-fP54_neg              = f53
-fP5432_neg            = f53
-fP32_neg              = f54
-fP_neg                = f55
-fF_neg                = f56
-
-f2M_neg               = f57
-fS1_neg               = f58
-fT1_neg               = f58
-fS2_neg               = f59
-fT2_neg               = f59
-fS_neg                = f59
-fExp                  = f60
-fExp_neg              = f61
-
-fA6                   = f50
-fA65                  = f50
-fA6543                = f50
-fA654321              = f50
-fA5                   = f51
-fA4                   = f52
-fA43                  = f52
-fA3                   = f53
-fA2                   = f54
-fA21                  = f54
-fA1                   = f55
-
-// Data tables
-//==============================================================
-
-RODATA
-.align 16
-
-// ************* DO NOT CHANGE ORDER OF THESE TABLES ********************
-
-// double-extended 1/ln(2)
-// 3fff b8aa 3b29 5c17 f0bb be87fed0691d3e88
-// 3fff b8aa 3b29 5c17 f0bc
-// For speed the significand will be loaded directly with a movl and setf.sig
-//   and the exponent will be bias+63 instead of bias+0.  Thus subsequent
-//   computations need to scale appropriately.
-// The constant 128/ln(2) is needed for the computation of w.  This is also
-//   obtained by scaling the computations.
-//
-// Two shifting constants are loaded directly with movl and setf.d.
-//   1. fRSHF_2TO56 = 1.1000..00 * 2^(63-7)
-//        This constant is added to x*1/ln2 to shift the integer part of
-//        x*128/ln2 into the rightmost bits of the significand.
-//        The result of this fma is fW_2TO56_RSH.
-//   2. fRSHF       = 1.1000..00 * 2^(63)
-//        This constant is subtracted from fW_2TO56_RSH * 2^(-56) to give
-//        the integer part of w, n, as a floating-point number.
-//        The result of this fms is fNfloat.
-
-
-LOCAL_OBJECT_START(exp_table_1)
-data8 0x408633ce8fb9f87e // smallest dbl overflow arg
-data8 0x408633ce8fb9f87d // largest dbl arg to give normal dbl result
-data8 0xb17217f7d1cf79ab , 0x00003ff7 // ln2/128 hi
-data8 0xc9e3b39803f2f6af , 0x00003fb7 // ln2/128 lo
-//
-// Table 1 is 2^(index_1/128) where
-// index_1 goes from 0 to 15
-//
-data8 0x8000000000000000 , 0x00003FFF
-data8 0x80B1ED4FD999AB6C , 0x00003FFF
-data8 0x8164D1F3BC030773 , 0x00003FFF
-data8 0x8218AF4373FC25EC , 0x00003FFF
-data8 0x82CD8698AC2BA1D7 , 0x00003FFF
-data8 0x8383594EEFB6EE37 , 0x00003FFF
-data8 0x843A28C3ACDE4046 , 0x00003FFF
-data8 0x84F1F656379C1A29 , 0x00003FFF
-data8 0x85AAC367CC487B15 , 0x00003FFF
-data8 0x8664915B923FBA04 , 0x00003FFF
-data8 0x871F61969E8D1010 , 0x00003FFF
-data8 0x87DB357FF698D792 , 0x00003FFF
-data8 0x88980E8092DA8527 , 0x00003FFF
-data8 0x8955EE03618E5FDD , 0x00003FFF
-data8 0x8A14D575496EFD9A , 0x00003FFF
-data8 0x8AD4C6452C728924 , 0x00003FFF
-LOCAL_OBJECT_END(exp_table_1)
-
-// Table 2 is 2^(index_1/8) where
-// index_2 goes from 0 to 7
-LOCAL_OBJECT_START(exp_table_2)
-data8 0x8000000000000000 , 0x00003FFF
-data8 0x8B95C1E3EA8BD6E7 , 0x00003FFF
-data8 0x9837F0518DB8A96F , 0x00003FFF
-data8 0xA5FED6A9B15138EA , 0x00003FFF
-data8 0xB504F333F9DE6484 , 0x00003FFF
-data8 0xC5672A115506DADD , 0x00003FFF
-data8 0xD744FCCAD69D6AF4 , 0x00003FFF
-data8 0xEAC0C6E7DD24392F , 0x00003FFF
-LOCAL_OBJECT_END(exp_table_2)
-
-LOCAL_OBJECT_START(exp_p_table)
-data8 0x3f8111116da21757 //P5
-data8 0x3fa55555d787761c //P4
-data8 0x3fc5555555555414 //P3
-data8 0x3fdffffffffffd6a //P2
-LOCAL_OBJECT_END(exp_p_table)
-
-LOCAL_OBJECT_START(cosh_p_table)
-data8 0x8FA02AC65BCBD5BC, 0x00003FE2  // A6
-data8 0xD00D00D1021D7370, 0x00003FEF  // A4
-data8 0xAAAAAAAAAAAAAB80, 0x00003FFA  // A2
-data8 0x93F27740C0C2F1CC, 0x00003FE9  // A5
-data8 0xB60B60B60B4FE884, 0x00003FF5  // A3
-data8 0x8000000000000000, 0x00003FFE  // A1
-LOCAL_OBJECT_END(cosh_p_table)
-
-
-.section .text
-GLOBAL_IEEE754_ENTRY(cosh)
-
-{ .mlx
-      getf.exp        rSignexp_x = f8  // Must recompute if x unorm
-      movl            rSig_inv_ln2 = 0xb8aa3b295c17f0bc  // significand of 1/ln2
-}
-{ .mlx
-      addl            rAD_TB1    = @ltoff(exp_table_1), gp
-      movl            rRshf_2to56 = 0x4768000000000000   // 1.10000 2^(63+56)
-}
-;;
-
-{ .mfi
-      ld8             rAD_TB1    = [rAD_TB1]
-      fclass.m        p6,p0 = f8,0x0b  // Test for x=unorm
-      mov             rExp_mask = 0x1ffff
-}
-{ .mfi
-      mov             rExp_bias = 0xffff
-      fnorm.s1        fNormX   = f8
-      mov             rExp_2tom56 = 0xffff-56
-}
-;;
-
-// Form two constants we need
-//  1/ln2 * 2^63  to compute  w = x * 1/ln2 * 128
-//  1.1000..000 * 2^(63+63-7) to right shift int(w) into the significand
-
-{ .mfi
-      setf.sig        fINV_LN2_2TO63 = rSig_inv_ln2 // form 1/ln2 * 2^63
-      fclass.m        p8,p0 = f8,0x07  // Test for x=0
-      nop.i 999
-}
-{ .mlx
-      setf.d          fRSHF_2TO56 = rRshf_2to56 // Form const 1.100 * 2^(63+56)
-      movl            rRshf = 0x43e8000000000000 // 1.10000 2^63 for right shift
-}
-;;
-
-{ .mfi
-      ldfpd           fMIN_DBL_OFLOW_ARG, fMAX_DBL_NORM_ARG = [rAD_TB1],16
-      fclass.m        p10,p0 = f8,0x1e3  // Test for x=inf, nan, NaT
-      nop.i           0
-}
-{ .mfb
-      setf.exp        f2TOM56 = rExp_2tom56 // form 2^-56 for scaling Nfloat
-      nop.f           0
-(p6)  br.cond.spnt    COSH_UNORM            // Branch if x=unorm
-}
-;;
-
-COSH_COMMON:
-{ .mfi
-      ldfe            fLn2_by_128_hi  = [rAD_TB1],16
-      nop.f           0
-      nop.i           0
-}
-{ .mfb
-      setf.d          fRSHF = rRshf // Form right shift const 1.100 * 2^63
-(p8)  fma.d.s0        f8 = f1,f1,f0           // quick exit for x=0
-(p8)  br.ret.spnt     b0
-}
-;;
-
-{ .mfi
-      ldfe            fLn2_by_128_lo  = [rAD_TB1],16
-      nop.f           0
-      nop.i           0
-}
-{ .mfb
-      and             rExp_x = rExp_mask, rSignexp_x // Biased exponent of x
-(p10) fma.d.s0        f8 = f8,f8,f0  // Result if x=inf, nan, NaT
-(p10) br.ret.spnt     b0               // quick exit for x=inf, nan, NaT
-}
-;;
-
-// After that last load rAD_TB1 points to the beginning of table 1
-{ .mfi
-      nop.m           0
-      fcmp.eq.s0      p6,p0 = f8, f0       // Dummy to set D
-      sub             rExp_x = rExp_x, rExp_bias // True exponent of x
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fmerge.s        fAbsX = f0, fNormX   // Form |x|
-      nop.i           0
-}
-{ .mfb
-      cmp.gt          p7, p0 = -2, rExp_x      // Test |x| < 2^(-2)
-      fma.s1          fXsq = fNormX, fNormX, f0  // x*x for small path
-(p7)  br.cond.spnt    COSH_SMALL               // Branch if 0 < |x| < 2^-2
-}
-;;
-
-// W = X * Inv_log2_by_128
-// By adding 1.10...0*2^63 we shift and get round_int(W) in significand.
-// We actually add 1.10...0*2^56 to X * Inv_log2 to do the same thing.
-
-{ .mfi
-      add             rAD_P = 0x180, rAD_TB1
-      fma.s1          fW_2TO56_RSH  = fNormX, fINV_LN2_2TO63, fRSHF_2TO56
-      add             rAD_TB2 = 0x100, rAD_TB1
-}
-;;
-
-// Divide arguments into the following categories:
-//  Certain Safe                - 0.25 <= |x| <= MAX_DBL_NORM_ARG
-//  Possible Overflow       p14 - MAX_DBL_NORM_ARG < |x| < MIN_DBL_OFLOW_ARG
-//  Certain Overflow        p15 - MIN_DBL_OFLOW_ARG <= |x| < +inf
-//
-// If the input is really a double arg, then there will never be
-// "Possible Overflow" arguments.
-//
-
-{ .mfi
-      ldfpd           fP5, fP4  = [rAD_P] ,16
-      fcmp.ge.s1      p15,p14 = fAbsX,fMIN_DBL_OFLOW_ARG
-      nop.i           0
-}
-;;
-
-// Nfloat = round_int(W)
-// The signficand of fW_2TO56_RSH contains the rounded integer part of W,
-// as a twos complement number in the lower bits (that is, it may be negative).
-// That twos complement number (called N) is put into rN.
-
-// Since fW_2TO56_RSH is scaled by 2^56, it must be multiplied by 2^-56
-// before the shift constant 1.10000 * 2^63 is subtracted to yield fNfloat.
-// Thus, fNfloat contains the floating point version of N
-
-{ .mfi
-      ldfpd           fP3, fP2  = [rAD_P]
-(p14) fcmp.gt.unc.s1  p14,p0 = fAbsX,fMAX_DBL_NORM_ARG
-      nop.i           0
-}
-{ .mfb
-      nop.m           0
-      fms.s1          fNfloat = fW_2TO56_RSH, f2TOM56, fRSHF
-(p15) br.cond.spnt    COSH_CERTAIN_OVERFLOW
-}
-;;
-
-{ .mfi
-      getf.sig        rN        = fW_2TO56_RSH
-      nop.f           0
-      mov             rExp_bias_minus_1 = 0xfffe
-}
-;;
-
-// rIndex_1 has index_1
-// rIndex_2_16 has index_2 * 16
-// rBiased_M has M
-
-// rM has true M
-// r = x - Nfloat * ln2_by_128_hi
-// f = 1 - Nfloat * ln2_by_128_lo
-{ .mfi
-      and             rIndex_1 = 0x0f, rN
-      fnma.s1         fR   = fNfloat, fLn2_by_128_hi, fNormX
-      shr             rM = rN,  0x7
-}
-{ .mfi
-      and             rIndex_2_16 = 0x70, rN
-      fnma.s1         fF   = fNfloat, fLn2_by_128_lo, f1
-      sub             rN_neg = r0, rN
-}
-;;
-
-{ .mmi
-      and             rIndex_1_neg = 0x0f, rN_neg
-      add             rBiased_M = rExp_bias_minus_1, rM
-      shr             rM_neg = rN_neg,  0x7
-}
-{ .mmi
-      and             rIndex_2_16_neg = 0x70, rN_neg
-      add             rAD_T2 = rAD_TB2, rIndex_2_16
-      shladd          rAD_T1 = rIndex_1, 4, rAD_TB1
-}
-;;
-
-// rAD_T1 has address of T1
-// rAD_T2 has address if T2
-
-{ .mmi
-      setf.exp        f2M = rBiased_M
-      ldfe            fT2  = [rAD_T2]
-      nop.i           0
-}
-{ .mmi
-      add             rBiased_M_neg = rExp_bias_minus_1, rM_neg
-      add             rAD_T2_neg = rAD_TB2, rIndex_2_16_neg
-      shladd          rAD_T1_neg = rIndex_1_neg, 4, rAD_TB1
-}
-;;
-
-// Create Scale = 2^M
-// Load T1 and T2
-{ .mmi
-      ldfe            fT1  = [rAD_T1]
-      nop.m           0
-      nop.i           0
-}
-{ .mmf
-      setf.exp        f2M_neg = rBiased_M_neg
-      ldfe            fT2_neg  = [rAD_T2_neg]
-      fma.s1          fF_neg   = fNfloat, fLn2_by_128_lo, f1
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fma.s1          fRsq = fR, fR, f0
-      nop.i           0
-}
-{ .mfi
-      ldfe            fT1_neg  = [rAD_T1_neg]
-      fma.s1          fP54 = fR, fP5, fP4
-      nop.i           0
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fma.s1          fP32 = fR, fP3, fP2
-      nop.i           0
-}
-{ .mfi
-      nop.m           0
-      fnma.s1         fP54_neg = fR, fP5, fP4
-      nop.i           0
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fnma.s1         fP32_neg = fR, fP3, fP2
-      nop.i           0
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fma.s1          fP5432  = fRsq, fP54, fP32
-      nop.i           0
-}
-{ .mfi
-      nop.m           0
-      fma.s1          fS2  = fF,fT2,f0
-      nop.i           0
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fma.s1          fS1  = f2M,fT1,f0
-      nop.i           0
-}
-{ .mfi
-      nop.m           0
-      fma.s1          fP5432_neg  = fRsq, fP54_neg, fP32_neg
-      nop.i           0
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fma.s1          fS1_neg  = f2M_neg,fT1_neg,f0
-      nop.i           0
-}
-{ .mfi
-      nop.m           0
-      fma.s1          fS2_neg  = fF_neg,fT2_neg,f0
-      nop.i           0
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fma.s1          fP     = fRsq, fP5432, fR
-      nop.i           0
-}
-{ .mfi
-      nop.m           0
-      fma.s1          fS   = fS1,fS2,f0
-      nop.i           0
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fms.s1          fP_neg     = fRsq, fP5432_neg, fR
-      nop.i           0
-}
-{ .mfi
-      nop.m           0
-      fma.s1          fS_neg   = fS1_neg,fS2_neg,f0
-      nop.i           0
-}
-;;
-
-{ .mfb
-      nop.m           0
-      fmpy.s0         fTmp = fLn2_by_128_lo, fLn2_by_128_lo // Force inexact
-(p14) br.cond.spnt    COSH_POSSIBLE_OVERFLOW
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fma.s1          fExp = fS, fP, fS
-      nop.i           0
-}
-{ .mfi
-      nop.m           0
-      fma.s1          fExp_neg = fS_neg, fP_neg, fS_neg
-      nop.i           0
-}
-;;
-
-{ .mfb
-      nop.m           0
-      fma.d.s0        f8 = fExp, f1, fExp_neg
-      br.ret.sptk     b0                  // Normal path exit
-}
-;;
-
-// Here if 0 < |x| < 0.25
-COSH_SMALL:
-{ .mmf
-      add             rAD_T1 = 0x1a0, rAD_TB1
-      add             rAD_T2 = 0x1d0, rAD_TB1
-}
-;;
-
-{ .mmf
-      ldfe            fA6 = [rAD_T1],16
-      ldfe            fA5 = [rAD_T2],16
-      nop.f           0
-}
-;;
-
-{ .mmi
-      ldfe            fA4 = [rAD_T1],16
-      ldfe            fA3 = [rAD_T2],16
-      nop.i           0
-}
-;;
-
-{ .mmi
-      ldfe            fA2 = [rAD_T1],16
-      ldfe            fA1 = [rAD_T2],16
-      nop.i           0
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fma.s1          fX4 = fXsq, fXsq, f0
-      nop.i           0
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fma.s1          fA65 = fXsq, fA6, fA5
-      nop.i           0
-}
-{ .mfi
-      nop.m           0
-      fma.s1          fA43 = fXsq, fA4, fA3
-      nop.i           0
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fma.s1          fA21 = fXsq, fA2, fA1
-      nop.i           0
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fma.s1          fA6543 = fX4, fA65, fA43
-      nop.i           0
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fma.s1          fA654321 = fX4, fA6543, fA21
-      nop.i           0
-}
-;;
-
-// Dummy multiply to generate inexact
-{ .mfi
-      nop.m           0
-      fmpy.s0         fTmp = fA6, fA6
-      nop.i           0
-}
-{ .mfb
-      nop.m           0
-      fma.d.s0        f8 = fA654321, fXsq, f1
-      br.ret.sptk     b0                // Exit if 0 < |x| < 0.25
-}
-;;
-
-
-COSH_POSSIBLE_OVERFLOW:
-
-// Here if fMAX_DBL_NORM_ARG < |x| < fMIN_DBL_OFLOW_ARG
-// This cannot happen if input is a double, only if input higher precision.
-// Overflow is a possibility, not a certainty.
-
-// Recompute result using status field 2 with user's rounding mode,
-// and wre set.  If result is larger than largest double, then we have
-// overflow
-
-{ .mfi
-      mov             rGt_ln  = 0x103ff // Exponent for largest dbl + 1 ulp
-      fsetc.s2        0x7F,0x42         // Get user's round mode, set wre
-      nop.i           0
-}
-;;
-
-{ .mfi
-      setf.exp        fGt_pln = rGt_ln  // Create largest double + 1 ulp
-      fma.d.s2        fWre_urm_f8 = fS, fP, fS    // Result with wre set
-      nop.i           0
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fsetc.s2        0x7F,0x40                   // Turn off wre in sf2
-      nop.i           0
-}
-;;
-
-{ .mfi
-      nop.m           0
-      fcmp.ge.s1      p6, p0 =  fWre_urm_f8, fGt_pln // Test for overflow
-      nop.i           0
-}
-;;
-
-{ .mfb
-      nop.m           0
-      nop.f           0
-(p6)  br.cond.spnt    COSH_CERTAIN_OVERFLOW // Branch if overflow
-}
-;;
-
-{ .mfb
-      nop.m           0
-      fma.d.s0        f8 = fS, fP, fS
-      br.ret.sptk     b0                     // Exit if really no overflow
-}
-;;
-
-COSH_CERTAIN_OVERFLOW:
-{ .mmi
-      sub             rTmp = rExp_mask, r0, 1
-;;
-      setf.exp        fTmp = rTmp
-      nop.i           0
-}
-;;
-
-{ .mfi
-      alloc           r32=ar.pfs,1,4,4,0
-      fmerge.s        FR_X = f8,f8
-      nop.i           0
-}
-{ .mfb
-      mov             GR_Parameter_TAG = 64
-      fma.d.s0        FR_RESULT = fTmp, fTmp, f0    // Set I,O and +INF result
-      br.cond.sptk    __libm_error_region
-}
-;;
-
-// Here if x unorm
-COSH_UNORM:
-{ .mfb
-      getf.exp        rSignexp_x = fNormX    // Must recompute if x unorm
-      fcmp.eq.s0      p6, p0 = f8, f0        // Set D flag
-      br.cond.sptk    COSH_COMMON
-}
-;;
-
-GLOBAL_IEEE754_END(cosh)
-
-
-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
-        stfd [GR_Parameter_Y] = FR_Y,16         // STORE 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
-        stfd [GR_Parameter_X] = FR_X            // STORE Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
-        nop.b 0
-}
-{ .mib
-        stfd [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
-        add   GR_Parameter_RESULT = 48,sp
-        nop.m 0
-        nop.i 0
-};;
-{ .mmi
-        ldfd  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#