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+.file "cosh.s"
+
+// Copyright (c) 2000, 2001, Intel Corporation
+// All rights reserved.
+// 
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
+// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// 
+// WARRANTY DISCLAIMER
+// 
+// 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://developer.intel.com/opensource.
+//
+// History
+//==============================================================
+// 2/02/00  Initial version 
+// 4/04/00  Unwind support added
+// 8/15/00  Bundle added after call to __libm_error_support to properly
+//          set [the previously overwritten] GR_Parameter_RESULT.
+//
+// API
+//==============================================================
+// double = cosh(double)
+// input  floating point f8
+// output floating point f8
+
+
+// Overview of operation
+//==============================================================
+// There are four paths
+
+// 1. |x| < 0.25        COSH_BY_POLY
+// 2. |x| < 32          COSH_BY_TBL
+// 3. |x| < 2^14        COSH_BY_EXP
+// 4. |x_ >= 2^14       COSH_HUGE
+
+// For paths 1, and 2 SAFE is always 1.
+// For path  4, Safe is always 0.
+// SAFE = 1 means we cannot overflow.
+
+#include "libm_support.h"
+
+// Assembly macros
+//==============================================================
+cosh_FR_X            = f44
+cosh_FR_SGNX         = f40
+
+cosh_FR_Inv_log2by64 = f9
+cosh_FR_log2by64_lo  = f11
+cosh_FR_log2by64_hi  = f10
+
+cosh_FR_A1           = f9
+cosh_FR_A2           = f10
+cosh_FR_A3           = f11
+
+cosh_FR_Rcub         = f12
+cosh_FR_M_temp       = f13
+cosh_FR_R_temp       = f13
+cosh_FR_Rsq          = f13
+cosh_FR_R            = f14
+
+cosh_FR_M            = f38
+
+cosh_FR_B1           = f15
+cosh_FR_B2           = f32
+cosh_FR_B3           = f33
+
+cosh_FR_peven_temp1  = f34
+cosh_FR_peven_temp2  = f35
+cosh_FR_peven        = f36
+
+cosh_FR_podd_temp1   = f34
+cosh_FR_podd_temp2   = f35
+cosh_FR_podd         = f37
+
+cosh_FR_J_temp       = f9
+cosh_FR_J            = f10
+
+cosh_FR_Mmj          = f39
+
+cosh_FR_N_temp1      = f11
+cosh_FR_N_temp2      = f12
+cosh_FR_N            = f13
+
+cosh_FR_spos         = f14
+cosh_FR_sneg         = f15
+
+cosh_FR_Tjhi         = f32
+cosh_FR_Tjlo         = f33
+cosh_FR_Tmjhi        = f34
+cosh_FR_Tmjlo        = f35
+
+GR_mJ           = r35
+GR_J            = r36
+
+AD_mJ           = r38
+AD_J            = r39
+
+cosh_FR_C_hi         = f9
+cosh_FR_C_hi_temp    = f10
+cosh_FR_C_lo_temp1   = f11 
+cosh_FR_C_lo_temp2   = f12 
+cosh_FR_C_lo_temp3   = f13 
+
+cosh_FR_C_lo         = f38
+cosh_FR_S_hi         = f39
+
+cosh_FR_S_hi_temp1   = f10
+cosh_FR_Y_hi         = f11 
+cosh_FR_Y_lo_temp    = f12 
+cosh_FR_Y_lo         = f13 
+cosh_FR_COSH         = f9
+
+cosh_FR_X2           = f9
+cosh_FR_X4           = f10
+
+cosh_FR_P1           = f14
+cosh_FR_P2           = f15
+cosh_FR_P3           = f32
+cosh_FR_P4           = f33
+cosh_FR_P5           = f34
+cosh_FR_P6           = f35
+
+cosh_FR_TINY_THRESH  = f9
+
+cosh_FR_COSH_temp    = f10
+cosh_FR_SCALE        = f11 
+
+cosh_FR_hi_lo = f10
+
+cosh_FR_poly_podd_temp1    =  f11 
+cosh_FR_poly_podd_temp2    =  f13
+cosh_FR_poly_peven_temp1   =  f11
+cosh_FR_poly_peven_temp2   =  f13
+
+GR_SAVE_PFS                    = r41
+GR_SAVE_B0                     = r42
+GR_SAVE_GP                     = r43
+
+GR_Parameter_X                 = r44
+GR_Parameter_Y                 = r45
+GR_Parameter_RESULT            = r46
+
+
+// Data tables
+//==============================================================
+
+#ifdef _LIBC
+.rodata
+#else
+.data
+#endif
+
+.align 16
+double_cosh_arg_reduction:
+ASM_TYPE_DIRECTIVE(double_cosh_arg_reduction,@object)
+   data8 0xB8AA3B295C17F0BC, 0x00004005
+   data8 0xB17217F7D1000000, 0x00003FF8
+   data8 0xCF79ABC9E3B39804, 0x00003FD0
+ASM_SIZE_DIRECTIVE(double_cosh_arg_reduction)
+
+double_cosh_p_table:
+ASM_TYPE_DIRECTIVE(double_cosh_p_table,@object)
+   data8 0x8000000000000000, 0x00003FFE
+   data8 0xAAAAAAAAAAAAAB80, 0x00003FFA
+   data8 0xB60B60B60B4FE884, 0x00003FF5
+   data8 0xD00D00D1021D7370, 0x00003FEF
+   data8 0x93F27740C0C2F1CC, 0x00003FE9
+   data8 0x8FA02AC65BCBD5BC, 0x00003FE2
+ASM_SIZE_DIRECTIVE(double_cosh_p_table)
+
+double_cosh_ab_table:
+ASM_TYPE_DIRECTIVE(double_cosh_ab_table,@object)
+   data8 0xAAAAAAAAAAAAAAAC, 0x00003FFC
+   data8 0x88888888884ECDD5, 0x00003FF8
+   data8 0xD00D0C6DCC26A86B, 0x00003FF2
+   data8 0x8000000000000002, 0x00003FFE
+   data8 0xAAAAAAAAAA402C77, 0x00003FFA
+   data8 0xB60B6CC96BDB144D, 0x00003FF5
+ASM_SIZE_DIRECTIVE(double_cosh_ab_table)
+
+double_cosh_j_table:
+ASM_TYPE_DIRECTIVE(double_cosh_j_table,@object)
+   data8 0xB504F333F9DE6484, 0x00003FFE, 0x1EB2FB13, 0x00000000
+   data8 0xB6FD91E328D17791, 0x00003FFE, 0x1CE2CBE2, 0x00000000
+   data8 0xB8FBAF4762FB9EE9, 0x00003FFE, 0x1DDC3CBC, 0x00000000
+   data8 0xBAFF5AB2133E45FB, 0x00003FFE, 0x1EE9AA34, 0x00000000
+   data8 0xBD08A39F580C36BF, 0x00003FFE, 0x9EAEFDC1, 0x00000000
+   data8 0xBF1799B67A731083, 0x00003FFE, 0x9DBF517B, 0x00000000
+   data8 0xC12C4CCA66709456, 0x00003FFE, 0x1EF88AFB, 0x00000000
+   data8 0xC346CCDA24976407, 0x00003FFE, 0x1E03B216, 0x00000000
+   data8 0xC5672A115506DADD, 0x00003FFE, 0x1E78AB43, 0x00000000
+   data8 0xC78D74C8ABB9B15D, 0x00003FFE, 0x9E7B1747, 0x00000000
+   data8 0xC9B9BD866E2F27A3, 0x00003FFE, 0x9EFE3C0E, 0x00000000
+   data8 0xCBEC14FEF2727C5D, 0x00003FFE, 0x9D36F837, 0x00000000
+   data8 0xCE248C151F8480E4, 0x00003FFE, 0x9DEE53E4, 0x00000000
+   data8 0xD06333DAEF2B2595, 0x00003FFE, 0x9E24AE8E, 0x00000000
+   data8 0xD2A81D91F12AE45A, 0x00003FFE, 0x1D912473, 0x00000000
+   data8 0xD4F35AABCFEDFA1F, 0x00003FFE, 0x1EB243BE, 0x00000000
+   data8 0xD744FCCAD69D6AF4, 0x00003FFE, 0x1E669A2F, 0x00000000
+   data8 0xD99D15C278AFD7B6, 0x00003FFE, 0x9BBC610A, 0x00000000
+   data8 0xDBFBB797DAF23755, 0x00003FFE, 0x1E761035, 0x00000000
+   data8 0xDE60F4825E0E9124, 0x00003FFE, 0x9E0BE175, 0x00000000
+   data8 0xE0CCDEEC2A94E111, 0x00003FFE, 0x1CCB12A1, 0x00000000
+   data8 0xE33F8972BE8A5A51, 0x00003FFE, 0x1D1BFE90, 0x00000000
+   data8 0xE5B906E77C8348A8, 0x00003FFE, 0x1DF2F47A, 0x00000000
+   data8 0xE8396A503C4BDC68, 0x00003FFE, 0x1EF22F22, 0x00000000
+   data8 0xEAC0C6E7DD24392F, 0x00003FFE, 0x9E3F4A29, 0x00000000
+   data8 0xED4F301ED9942B84, 0x00003FFE, 0x1EC01A5B, 0x00000000
+   data8 0xEFE4B99BDCDAF5CB, 0x00003FFE, 0x1E8CAC3A, 0x00000000
+   data8 0xF281773C59FFB13A, 0x00003FFE, 0x9DBB3FAB, 0x00000000
+   data8 0xF5257D152486CC2C, 0x00003FFE, 0x1EF73A19, 0x00000000
+   data8 0xF7D0DF730AD13BB9, 0x00003FFE, 0x9BB795B5, 0x00000000
+   data8 0xFA83B2DB722A033A, 0x00003FFE, 0x1EF84B76, 0x00000000
+   data8 0xFD3E0C0CF486C175, 0x00003FFE, 0x9EF5818B, 0x00000000
+   data8 0x8000000000000000, 0x00003FFF, 0x00000000, 0x00000000
+   data8 0x8164D1F3BC030773, 0x00003FFF, 0x1F77CACA, 0x00000000
+   data8 0x82CD8698AC2BA1D7, 0x00003FFF, 0x1EF8A91D, 0x00000000
+   data8 0x843A28C3ACDE4046, 0x00003FFF, 0x1E57C976, 0x00000000
+   data8 0x85AAC367CC487B15, 0x00003FFF, 0x9EE8DA92, 0x00000000
+   data8 0x871F61969E8D1010, 0x00003FFF, 0x1EE85C9F, 0x00000000
+   data8 0x88980E8092DA8527, 0x00003FFF, 0x1F3BF1AF, 0x00000000
+   data8 0x8A14D575496EFD9A, 0x00003FFF, 0x1D80CA1E, 0x00000000
+   data8 0x8B95C1E3EA8BD6E7, 0x00003FFF, 0x9D0373AF, 0x00000000
+   data8 0x8D1ADF5B7E5BA9E6, 0x00003FFF, 0x9F167097, 0x00000000
+   data8 0x8EA4398B45CD53C0, 0x00003FFF, 0x1EB70051, 0x00000000
+   data8 0x9031DC431466B1DC, 0x00003FFF, 0x1F6EB029, 0x00000000
+   data8 0x91C3D373AB11C336, 0x00003FFF, 0x1DFD6D8E, 0x00000000
+   data8 0x935A2B2F13E6E92C, 0x00003FFF, 0x9EB319B0, 0x00000000
+   data8 0x94F4EFA8FEF70961, 0x00003FFF, 0x1EBA2BEB, 0x00000000
+   data8 0x96942D3720185A00, 0x00003FFF, 0x1F11D537, 0x00000000
+   data8 0x9837F0518DB8A96F, 0x00003FFF, 0x1F0D5A46, 0x00000000
+   data8 0x99E0459320B7FA65, 0x00003FFF, 0x9E5E7BCA, 0x00000000
+   data8 0x9B8D39B9D54E5539, 0x00003FFF, 0x9F3AAFD1, 0x00000000
+   data8 0x9D3ED9A72CFFB751, 0x00003FFF, 0x9E86DACC, 0x00000000
+   data8 0x9EF5326091A111AE, 0x00003FFF, 0x9F3EDDC2, 0x00000000
+   data8 0xA0B0510FB9714FC2, 0x00003FFF, 0x1E496E3D, 0x00000000
+   data8 0xA27043030C496819, 0x00003FFF, 0x9F490BF6, 0x00000000
+   data8 0xA43515AE09E6809E, 0x00003FFF, 0x1DD1DB48, 0x00000000
+   data8 0xA5FED6A9B15138EA, 0x00003FFF, 0x1E65EBFB, 0x00000000
+   data8 0xA7CD93B4E965356A, 0x00003FFF, 0x9F427496, 0x00000000
+   data8 0xA9A15AB4EA7C0EF8, 0x00003FFF, 0x1F283C4A, 0x00000000
+   data8 0xAB7A39B5A93ED337, 0x00003FFF, 0x1F4B0047, 0x00000000
+   data8 0xAD583EEA42A14AC6, 0x00003FFF, 0x1F130152, 0x00000000
+   data8 0xAF3B78AD690A4375, 0x00003FFF, 0x9E8367C0, 0x00000000
+   data8 0xB123F581D2AC2590, 0x00003FFF, 0x9F705F90, 0x00000000
+   data8 0xB311C412A9112489, 0x00003FFF, 0x1EFB3C53, 0x00000000
+   data8 0xB504F333F9DE6484, 0x00003FFF, 0x1F32FB13, 0x00000000
+ASM_SIZE_DIRECTIVE(double_cosh_j_table)
+
+.align 32
+.global cosh#
+
+.section .text
+.proc  cosh#
+.align 32
+
+cosh: 
+
+#ifdef _LIBC
+.global __ieee754_cosh#
+.proc __ieee754_cosh#
+__ieee754_cosh:
+#endif
+
+// X NAN?
+
+{ .mfi
+      alloc r32 = ar.pfs,0,12,4,0                  
+(p0)  fclass.m.unc  p6,p7 = f8, 0xc3	//@snan | @qnan 
+      nop.i 999
+}
+;;
+
+
+{ .mfb
+      nop.m 999
+(p6)  fma.d.s0   f8 = f8,f1,f8                  
+(p6)  br.ret.spnt     b0 ;;                          
+}
+
+
+// X infinity 
+{ .mfi
+      nop.m 999
+(p0)  fclass.m.unc  p6,p0 = f8, 0x23	//@inf 
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+(p6)     fmerge.s      f8 = f0,f8                  
+(p6)  br.ret.spnt     b0 ;;                          
+}
+
+
+
+// Put 0.25 in f9; p6 true if x < 0.25
+{ .mlx
+         nop.m 999
+(p0)     movl            r32 = 0x000000000000fffd ;;         
+}
+
+{ .mfi
+(p0)  setf.exp        f9 = r32                         
+      nop.f 999
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fmerge.s      cosh_FR_X    = f0,f8                
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fmerge.s      cosh_FR_SGNX = f8,f1                
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fcmp.lt.unc     p0,p7 = cosh_FR_X,f9                    
+      nop.i 999 ;;
+}
+
+{ .mib
+      nop.m 999
+      nop.i 999
+(p7)  br.cond.sptk    L(COSH_BY_TBL) 
+}
+;;
+
+
+// COSH_BY_POLY: 
+// POLY cannot overflow so there is no need to call __libm_error_support
+// Get the values of P_x from the table
+
+{ .mmi
+      nop.m 999
+(p0)  addl           r34   = @ltoff(double_cosh_p_table), gp
+      nop.i 999
+}
+;;
+
+{ .mmi
+      ld8 r34 = [r34]
+      nop.m 999
+      nop.i 999
+}
+;;
+
+
+// Calculate cosh_FR_X2 = ax*ax and cosh_FR_X4 = ax*ax*ax*ax
+{ .mmf
+         nop.m 999
+(p0)     ldfe       cosh_FR_P1 = [r34],16                 
+(p0)     fma.s1     cosh_FR_X2 = cosh_FR_X, cosh_FR_X, f0 ;;           
+}
+
+{ .mmi
+(p0)     ldfe       cosh_FR_P2 = [r34],16 ;;                 
+(p0)     ldfe       cosh_FR_P3 = [r34],16                 
+         nop.i 999 ;;
+}
+
+{ .mmi
+(p0)     ldfe       cosh_FR_P4 = [r34],16 ;;                 
+(p0)     ldfe       cosh_FR_P5 = [r34],16                 
+         nop.i 999 ;;
+}
+
+{ .mfi
+(p0)     ldfe       cosh_FR_P6 = [r34],16                 
+(p0)     fma.s1     cosh_FR_X4 = cosh_FR_X2, cosh_FR_X2, f0         
+         nop.i 999 ;;
+}
+
+// Calculate cosh_FR_podd = x4 *(x4 * P_5 + P_3) + P_1
+{ .mfi
+         nop.m 999
+(p0)     fma.s1     cosh_FR_poly_podd_temp1 = cosh_FR_X4, cosh_FR_P5, cosh_FR_P3                
+         nop.i 999 ;;
+}
+
+{ .mfi
+         nop.m 999
+(p0)     fma.s1     cosh_FR_podd            = cosh_FR_X4, cosh_FR_poly_podd_temp1, cosh_FR_P1   
+         nop.i 999
+}
+
+// Calculate cosh_FR_peven =  p_even = x4 *(x4 * (x4 * P_6 + P_4) + P_2)
+{ .mfi
+         nop.m 999
+(p0)     fma.s1     cosh_FR_poly_peven_temp1 = cosh_FR_X4, cosh_FR_P6, cosh_FR_P4               
+         nop.i 999 ;;
+}
+
+{ .mfi
+         nop.m 999
+(p0)     fma.s1     cosh_FR_poly_peven_temp2 = cosh_FR_X4, cosh_FR_poly_peven_temp1, cosh_FR_P2 
+         nop.i 999 ;;
+}
+
+{ .mfi
+         nop.m 999
+(p0)     fma.s1     cosh_FR_peven       = cosh_FR_X4, cosh_FR_poly_peven_temp2, f0         
+         nop.i 999 ;;
+}
+
+// Y_lo = x2*p_odd + p_even
+// Calculate f8 = Y_hi + Y_lo 
+{ .mfi
+         nop.m 999
+(p0)     fma.s1     cosh_FR_Y_lo         = cosh_FR_X2, cosh_FR_podd,  cosh_FR_peven    
+         nop.i 999 ;;
+}
+
+{ .mfb
+         nop.m 999
+(p0)     fma.d.s0   f8                   = f1, f1, cosh_FR_Y_lo                        
+(p0)  br.ret.sptk     b0 ;;                          
+}
+
+
+L(COSH_BY_TBL): 
+
+// Now that we are at TBL; so far all we know is that |x| >= 0.25.
+// The first two steps are the same for TBL and EXP, but if we are HUGE
+// Double
+// Go to HUGE if |x| >= 2^10, 10009 (register-biased) is e = 10 (true)
+// Single
+// Go to HUGE if |x| >= 2^7,  10006 (register-biased) is e =  7 (true)
+// we want to leave now. Go to HUGE if |x| >= 2^14
+// 1000d (register-biased) is e = 14 (true)
+
+{ .mlx
+      nop.m 999
+(p0)     movl            r32 = 0x0000000000010009 ;;              
+}
+
+{ .mfi
+(p0)     setf.exp        f9 = r32                              
+      nop.f 999
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)     fcmp.ge.unc     p6,p7 = cosh_FR_X,f9                  
+      nop.i 999 ;;
+}
+
+{ .mib
+      nop.m 999
+      nop.i 999
+(p6)     br.cond.spnt    L(COSH_HUGE) ;;                             
+}
+
+// r32 = 1
+// r34 = N-1 
+// r35 = N
+// r36 = j
+// r37 = N+1
+
+// TBL can never overflow
+// cosh(x) = cosh(B+R)
+//         = cosh(B) cosh(R) + sinh(B) sinh(R) 
+// cosh(R) can be approximated by 1 + p_even
+// sinh(R) can be approximated by p_odd
+
+// ******************************************************
+// STEP 1 (TBL and EXP)
+// ******************************************************
+// Get the following constants.
+// f9  = Inv_log2by64
+// f10 = log2by64_hi
+// f11 = log2by64_lo
+
+{ .mmi
+(p0)     adds                 r32 = 0x1,r0      
+(p0)     addl           r34   = @ltoff(double_cosh_arg_reduction), gp
+         nop.i 999
+}
+;;
+
+// We want 2^(N-1) and 2^(-N-1). So bias N-1 and -N-1 and
+// put them in an exponent.
+// cosh_FR_spos = 2^(N-1) and cosh_FR_sneg = 2^(-N-1)
+// r39 = 0xffff + (N-1)  = 0xffff +N -1
+// r40 = 0xffff - (N +1) = 0xffff -N -1
+
+{ .mlx
+         ld8 r34 = [r34]
+(p0)     movl                r38 = 0x000000000000fffe ;; 
+}
+
+{ .mmi
+(p0)     ldfe            cosh_FR_Inv_log2by64 = [r34],16 ;;            
+(p0)     ldfe            cosh_FR_log2by64_hi  = [r34],16            
+         nop.i 999 ;;
+}
+
+{ .mbb
+(p0)     ldfe            cosh_FR_log2by64_lo  = [r34],16            
+         nop.b 999
+         nop.b 999 ;;
+}
+
+// Get the A coefficients
+// f9  = A_1
+// f10 = A_2
+// f11 = A_3
+
+{ .mmi
+      nop.m 999
+(p0)  addl           r34   = @ltoff(double_cosh_ab_table), gp
+      nop.i 999
+}
+;;
+
+{ .mmi
+      ld8 r34 = [r34]
+      nop.m 999
+      nop.i 999
+}
+;;
+
+
+// Calculate M and keep it as integer and floating point.
+// M = round-to-integer(x*Inv_log2by64)
+// cosh_FR_M = M = truncate(ax/(log2/64))
+// Put the significand of M in r35
+//    and the floating point representation of M in cosh_FR_M
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1          cosh_FR_M      = cosh_FR_X, cosh_FR_Inv_log2by64, f0 
+      nop.i 999
+}
+
+{ .mfi
+(p0)  ldfe            cosh_FR_A1 = [r34],16            
+      nop.f 999
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fcvt.fx.s1      cosh_FR_M_temp = cosh_FR_M                      
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fnorm.s1        cosh_FR_M      = cosh_FR_M_temp                 
+      nop.i 999 ;;
+}
+
+{ .mfi
+(p0)  getf.sig        r35       = cosh_FR_M_temp                 
+      nop.f 999
+      nop.i 999 ;;
+}
+
+// M is still in r35. Calculate j. j is the signed extension of the six lsb of M. It
+// has a range of -32 thru 31.
+// r35 = M
+// r36 = j 
+{ .mii
+      nop.m 999
+      nop.i 999 ;;
+(p0)  and            r36 = 0x3f, r35 ;;   
+}
+
+// Calculate R
+// f13 = f44 - f12*f10 = x - M*log2by64_hi
+// f14 = f13 - f8*f11 = R = (x - M*log2by64_hi) - M*log2by64_lo
+
+{ .mfi
+      nop.m 999
+(p0)  fnma.s1        cosh_FR_R_temp = cosh_FR_M, cosh_FR_log2by64_hi, cosh_FR_X      
+      nop.i 999
+}
+
+{ .mfi
+(p0)  ldfe            cosh_FR_A2 = [r34],16            
+      nop.f 999
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fnma.s1        cosh_FR_R      = cosh_FR_M, cosh_FR_log2by64_lo, cosh_FR_R_temp 
+      nop.i 999
+}
+
+// Get the B coefficients
+// f15 = B_1
+// f32 = B_2
+// f33 = B_3
+
+{ .mmi
+(p0)     ldfe            cosh_FR_A3 = [r34],16 ;;            
+(p0)     ldfe            cosh_FR_B1 = [r34],16            
+         nop.i 999 ;;
+}
+
+{ .mmi
+(p0)     ldfe            cosh_FR_B2 = [r34],16 ;;            
+(p0)     ldfe            cosh_FR_B3 = [r34],16            
+         nop.i 999 ;;
+}
+
+{ .mii
+         nop.m 999
+(p0)     shl            r34 = r36,  0x2 ;;   
+(p0)     sxt1           r37 = r34 ;;         
+}
+
+// ******************************************************
+// STEP 2 (TBL and EXP)
+// ******************************************************
+// Calculate Rsquared and Rcubed in preparation for p_even and p_odd
+// f12 = R*R*R
+// f13 = R*R
+// f14 = R <== from above
+
+{ .mfi
+      nop.m 999
+(p0)     fma.s1          cosh_FR_Rsq  = cosh_FR_R,   cosh_FR_R, f0  
+(p0)     shr            r36 = r37,  0x2 ;;   
+}
+
+// r34 = M-j = r35 - r36
+// r35 = N = (M-j)/64
+
+{ .mii
+(p0)     sub                  r34 = r35, r36    
+         nop.i 999 ;;
+(p0)     shr                  r35 = r34, 0x6 ;;    
+}
+
+{ .mii
+(p0)     sub                 r40 = r38, r35           
+(p0)     adds                 r37 = 0x1, r35    
+(p0)     add                 r39 = r38, r35 ;;           
+}
+
+// Get the address of the J table, add the offset,
+// addresses are sinh_AD_mJ and sinh_AD_J, get the T value
+// f32 = T(j)_hi
+// f33 = T(j)_lo
+// f34 = T(-j)_hi
+// f35 = T(-j)_lo
+
+{ .mmi
+(p0)     sub                  r34 = r35, r32    
+(p0)     addl    r37   = @ltoff(double_cosh_j_table), gp
+         nop.i 999
+}
+;;
+
+{ .mfi
+      ld8 r37 = [r37]
+(p0)  fma.s1          cosh_FR_Rcub = cosh_FR_Rsq, cosh_FR_R, f0  
+      nop.i 999
+}
+
+// ******************************************************
+// STEP 3 Now decide if we need to branch to EXP
+// ******************************************************
+// Put 32 in f9; p6 true if x < 32
+
+{ .mlx
+         nop.m 999
+(p0)     movl                r32 = 0x0000000000010004 ;;               
+}
+
+// Calculate p_even
+// f34 = B_2 + Rsq *B_3
+// f35 = B_1 + Rsq*f34      = B_1 + Rsq * (B_2 + Rsq *B_3)
+// f36 = peven = Rsq * f35 = Rsq * (B_1 + Rsq * (B_2 + Rsq *B_3))
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1          cosh_FR_peven_temp1 = cosh_FR_Rsq, cosh_FR_B3,          cosh_FR_B2  
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1          cosh_FR_peven_temp2 = cosh_FR_Rsq, cosh_FR_peven_temp1, cosh_FR_B1  
+      nop.i 999
+}
+
+// Calculate p_odd
+// f34 = A_2 + Rsq *A_3
+// f35 = A_1 + Rsq * (A_2 + Rsq *A_3)
+// f37 = podd = R + Rcub * (A_1 + Rsq * (A_2 + Rsq *A_3))
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1          cosh_FR_podd_temp1 = cosh_FR_Rsq,        cosh_FR_A3,         cosh_FR_A2  
+      nop.i 999 ;;
+}
+
+{ .mfi
+(p0)  setf.exp            cosh_FR_N_temp1 = r39            
+      nop.f 999
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1          cosh_FR_peven       = cosh_FR_Rsq, cosh_FR_peven_temp2, f0     
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1          cosh_FR_podd_temp2 = cosh_FR_Rsq,        cosh_FR_podd_temp1, cosh_FR_A1  
+      nop.i 999 ;;
+}
+
+{ .mfi
+(p0)  setf.exp            f9  = r32                              
+      nop.f 999
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1          cosh_FR_podd       = cosh_FR_podd_temp2, cosh_FR_Rcub,       cosh_FR_R   
+      nop.i 999
+}
+
+// sinh_GR_mj contains the table offset for -j
+// sinh_GR_j  contains the table offset for +j
+// p6 is true when j <= 0
+
+{ .mlx
+(p0)     setf.exp            cosh_FR_N_temp2 = r40            
+(p0)     movl                r40 = 0x0000000000000020 ;;    
+}
+
+{ .mfi
+(p0)     sub                 GR_mJ = r40,  r36           
+(p0)     fmerge.se           cosh_FR_spos    = cosh_FR_N_temp1, f1 
+(p0)     adds                GR_J  = 0x20, r36 ;;           
+}
+
+{ .mii
+         nop.m 999
+(p0)     shl                  GR_mJ = GR_mJ, 5 ;;   
+(p0)     add                  AD_mJ = r37, GR_mJ ;; 
+}
+
+{ .mmi
+         nop.m 999
+(p0)     ldfe                 cosh_FR_Tmjhi = [AD_mJ],16                 
+(p0)     shl                  GR_J  = GR_J, 5 ;;    
+}
+
+{ .mfi
+(p0)     ldfs                 cosh_FR_Tmjlo = [AD_mJ],16                 
+(p0)     fcmp.lt.unc.s1      p6,p7 = cosh_FR_X,f9                          
+(p0)     add                  AD_J  = r37, GR_J ;;  
+}
+
+{ .mmi
+(p0)     ldfe                 cosh_FR_Tjhi  = [AD_J],16 ;;                  
+(p0)     ldfs                 cosh_FR_Tjlo  = [AD_J],16                  
+         nop.i 999 ;;
+}
+
+{ .mfb
+         nop.m 999
+(p0)     fmerge.se           cosh_FR_sneg    = cosh_FR_N_temp2, f1 
+(p7)     br.cond.spnt        L(COSH_BY_EXP) ;;                            
+}
+
+// ******************************************************
+// If NOT branch to EXP
+// ******************************************************
+// Calculate C_hi
+// ******************************************************
+// cosh_FR_C_hi_temp = cosh_FR_sneg * cosh_FR_Tmjhi
+// cosh_FR_C_hi = cosh_FR_spos * cosh_FR_Tjhi + (cosh_FR_sneg * cosh_FR_Tmjhi)
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         cosh_FR_C_hi_temp = cosh_FR_sneg, cosh_FR_Tmjhi, f0                   
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         cosh_FR_C_hi      = cosh_FR_spos, cosh_FR_Tjhi,  cosh_FR_C_hi_temp    
+      nop.i 999
+}
+
+// ******************************************************
+// Calculate S_hi
+// ******************************************************
+// cosh_FR_S_hi_temp1 = cosh_FR_sneg * cosh_FR_Tmjhi
+// cosh_FR_S_hi = cosh_FR_spos * cosh_FR_Tjhi - cosh_FR_C_hi_temp1
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1        cosh_FR_S_hi_temp1 =  cosh_FR_sneg, cosh_FR_Tmjhi, f0                
+      nop.i 999 ;;
+}
+
+// ******************************************************
+// Calculate C_lo
+// ******************************************************
+// cosh_FR_C_lo_temp1 = cosh_FR_spos * cosh_FR_Tjhi - cosh_FR_C_hi
+// cosh_FR_C_lo_temp2 = cosh_FR_sneg * cosh_FR_Tmjlo + (cosh_FR_spos * cosh_FR_Tjhi - cosh_FR_C_hi)
+// cosh_FR_C_lo_temp1 = cosh_FR_sneg * cosh_FR_Tmjlo
+// cosh_FR_C_lo_temp3 = cosh_FR_spos * cosh_FR_Tjlo + (cosh_FR_sneg * cosh_FR_Tmjlo)
+// cosh_FR_C_lo = cosh_FR_C_lo_temp3 + cosh_FR_C_lo_temp2
+
+{ .mfi
+      nop.m 999
+(p0)  fms.s1        cosh_FR_C_lo_temp1 = cosh_FR_spos, cosh_FR_Tjhi,  cosh_FR_C_hi        
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fms.s1        cosh_FR_S_hi       =  cosh_FR_spos, cosh_FR_Tjhi, cosh_FR_S_hi_temp1 
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1        cosh_FR_C_lo_temp2 = cosh_FR_sneg, cosh_FR_Tmjhi, cosh_FR_C_lo_temp1  
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1        cosh_FR_C_lo_temp1 = cosh_FR_sneg, cosh_FR_Tmjlo, f0                  
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1        cosh_FR_C_lo_temp3 =  cosh_FR_spos, cosh_FR_Tjlo,  cosh_FR_C_lo_temp1 
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1        cosh_FR_C_lo       =  cosh_FR_C_lo_temp3, f1,   cosh_FR_C_lo_temp2    
+      nop.i 999 ;;
+}
+
+// ******************************************************
+// cosh_FR_Y_lo_temp = cosh_FR_C_hi * cosh_FR_peven + cosh_FR_C_lo
+// cosh_FR_Y_lo = cosh_FR_S_hi * cosh_FR_podd + cosh_FR_Y_lo_temp
+// cosh_FR_COSH = Y_hi + Y_lo
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         cosh_FR_Y_lo_temp =  cosh_FR_C_hi, cosh_FR_peven, cosh_FR_C_lo       
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         cosh_FR_Y_lo      =  cosh_FR_S_hi, cosh_FR_podd, cosh_FR_Y_lo_temp   
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+(p0)  fma.d.s0       f8 =  cosh_FR_C_hi, f1, cosh_FR_Y_lo                       
+(p0)  br.ret.sptk     b0 ;;                          
+}
+
+L(COSH_BY_EXP): 
+
+// When p7 is true,  we know that an overflow is not going to happen
+// When p7 is false, we must check for possible overflow
+// p7 is the over_SAFE flag
+// f44 = Scale * (Y_hi + Y_lo)
+//     =  cosh_FR_spos * (cosh_FR_Tjhi + cosh_FR_Y_lo)
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         cosh_FR_Y_lo_temp =  cosh_FR_peven, f1,       cosh_FR_podd           
+      nop.i 999
+}
+
+// Now we are in EXP. This is the only path where an overflow is possible
+// but not for certain. So this is the only path where over_SAFE has any use.
+// r34 still has N-1
+// There is a danger of double-extended overflow   if N-1 > 16382 = 0x3ffe
+// There is a danger of double overflow            if N-1 > 0x3fe = 1022
+
+{ .mlx
+       nop.m 999
+(p0)   movl                r32          = 0x00000000000003fe ;;                       
+}
+
+{ .mfi
+(p0)  cmp.gt.unc          p0,p7        = r34, r32                                 
+      nop.f 999
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         cosh_FR_Y_lo      =  cosh_FR_Tjhi,  cosh_FR_Y_lo_temp, cosh_FR_Tjlo       
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1         cosh_FR_COSH_temp =  cosh_FR_Y_lo,  f1, cosh_FR_Tjhi                 
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.d.s0       f44 = cosh_FR_spos,  cosh_FR_COSH_temp, f0                       
+      nop.i 999 ;;
+}
+
+// If over_SAFE is set, return
+{ .mfb
+       nop.m 999
+(p7)   fmerge.s            f8 = f44,f44
+(p7)  br.ret.sptk     b0 ;;                          
+}
+
+// Else see if we overflowed
+// S0 user supplied status
+// S2 user supplied status + WRE + TD  (Overflows)
+// If WRE is set then an overflow will not occur in EXP.
+// The input value that would cause a register (WRE) value to overflow is about 2^15
+// and this input would go into the HUGE path.
+// Answer with WRE is in f43.
+
+{ .mfi
+      nop.m 999
+(p0)  fsetc.s2            0x7F,0x42                                               
+      nop.i 999;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.d.s2            f43  = cosh_FR_spos,  cosh_FR_COSH_temp, f0                      
+      nop.i 999 ;;
+}
+
+// 103FF => 103FF -FFFF = 400(true)
+// 400 + 3FF = 7FF, which is 1 more that the exponent of the largest
+// double (7FE). So 0 103FF 8000000000000000  is one ulp more than
+// largest double in register bias
+// Now  set p8 if the answer with WRE is greater than or equal this value
+// Also set p9 if the answer with WRE is less than or equal to negative this value
+
+{ .mlx
+       nop.m 999
+(p0)   movl                r32          = 0x00000000000103ff ;;                     
+}
+
+{ .mmf
+       nop.m 999
+(p0)   setf.exp            f41          = r32                                    
+(p0)   fsetc.s2            0x7F,0x40 ;;                                               
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fcmp.ge.unc.s1      p8, p0       = f43, f41                               
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fmerge.ns           f42 = f41, f41                                          
+      nop.i 999 ;;
+}
+
+// The error tag for overflow is 64
+{ .mii
+      nop.m 999
+      nop.i 999 ;;
+(p8)  mov                 r47 = 64 ;;                                               
+}
+
+{ .mfb
+      nop.m 999
+(p0)  fcmp.le.unc.s1      p9, p0 =  f43, f42                                      
+(p8)  br.cond.spnt __libm_error_region ;;
+}
+
+{ .mii
+      nop.m 999
+      nop.i 999 ;;
+(p9)  mov                 r47 = 64                                               
+}
+
+{ .mib
+      nop.m 999
+      nop.i 999
+(p9)  br.cond.spnt __libm_error_region ;;
+}
+
+{ .mfb
+      nop.m 999
+(p0)  fmerge.s            f8 = f44,f44                                            
+(p0)  br.ret.sptk     b0 ;;                          
+}
+
+
+// for COSH_HUGE, put 24000 in exponent; take sign from input; add 1
+// SAFE: SAFE is always 0 for HUGE
+
+L(COSH_HUGE): 
+
+{ .mlx
+      nop.m 999
+(p0)  movl                r32 = 0x0000000000015dbf ;;                                
+}
+
+{ .mfi
+(p0)  setf.exp            f9  = r32                                               
+      nop.f 999
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.s1              cosh_FR_hi_lo = f1, f9, f1                              
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.d.s0            f44 = f9, cosh_FR_hi_lo, f0                             
+(p0)  mov                 r47 = 64                                               
+}
+;;
+
+.endp cosh#
+ASM_SIZE_DIRECTIVE(cosh#)
+
+// Stack operations when calling error support.
+//       (1)               (2)                          (3) (call)              (4)
+//   sp   -> +          psp -> +                     psp -> +                   sp -> +
+//           |                 |                            |                         |
+//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
+//           |                 |                            |                         |
+//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
+//           |                 |                            |                         |
+//           |                 | <- GR_X               X1 ->|                         |
+//           |                 |                            |                         |
+//  sp-64 -> +          sp ->  +                     sp ->  +                         +
+//    save ar.pfs          save b0                                               restore gp
+//    save gp                                                                    restore ar.pfs
+
+.proc __libm_error_region
+__libm_error_region:
+.prologue
+// (1)
+{ .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
+};;
+
+
+// (2)
+{ .mmi
+        stfd [GR_Parameter_Y] = f0,16         // 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
+// (3)
+{ .mib
+        stfd [GR_Parameter_X] = f8                    // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
+        nop.b 0                                 
+}
+{ .mib
+        stfd [GR_Parameter_Y] = f44                   // 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
+};;
+
+// (4)
+{ .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
+};;
+
+.endp __libm_error_region
+ASM_SIZE_DIRECTIVE(__libm_error_region)
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#