.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

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// 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)

libm_alias_double_other (__cosh, 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#