2001-02-19 09:09:18 +00:00
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.file "coshl.s"
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2002-07-06 06:36:39 +00:00
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// Copyright (C) 2000, 2001, Intel Corporation
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2001-02-19 09:09:18 +00:00
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// All rights reserved.
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//
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// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
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// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
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2002-07-06 06:36:39 +00:00
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//
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// Redistribution and use in source and binary forms, with or without
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// modification, are permitted provided that the following conditions are
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// met:
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//
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// * Redistributions of source code must retain the above copyright
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// notice, this list of conditions and the following disclaimer.
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//
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// * Redistributions in binary form must reproduce the above copyright
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// notice, this list of conditions and the following disclaimer in the
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// documentation and/or other materials provided with the distribution.
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//
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// * The name of Intel Corporation may not be used to endorse or promote
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// products derived from this software without specific prior written
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// permission.
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//
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2001-02-19 09:09:18 +00:00
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
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// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
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// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
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// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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//
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// Intel Corporation is the author of this code, and requests that all
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// problem reports or change requests be submitted to it directly at
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// http://developer.intel.com/opensource.
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//
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// History
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//==============================================================
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// 2/02/00 Initial version
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// 4/04/00 Unwind support added
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// 8/15/00 Bundle added after call to __libm_error_support to properly
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// set [the previously overwritten] GR_Parameter_RESULT.
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// 1/23/01 Set inexact flag for large args.
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//
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// API
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//==============================================================
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// float = cosh(float)
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// double = cosh(double)
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// long double = coshl(long double)
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// input floating point f8
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// output floating point f8
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// Overview of operation
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//==============================================================
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// There are four paths
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// 1. |x| < 0.25 COSH_BY_POLY
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// 2. |x| < 32 COSH_BY_TBL
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// 3. |x| < 2^14 COSH_BY_EXP
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// 4. |x| >= 2^14 COSH_HUGE
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// For paths 1, and 2 SAFE is always 1.
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// For path 4, Safe is always 0.
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// SAFE = 1 means we cannot overflow.
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#include "libm_support.h"
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// Assembly macros
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//==============================================================
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cosh_FR_X = f44
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FR_RESULT = f44
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cosh_FR_SGNX = f40
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cosh_FR_all_ones = f45
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FR_X = f8
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FR_Y = f0
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cosh_FR_Inv_log2by64 = f9
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cosh_FR_log2by64_lo = f11
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cosh_FR_log2by64_hi = f10
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cosh_FR_A1 = f9
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cosh_FR_A2 = f10
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cosh_FR_A3 = f11
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cosh_FR_Rcub = f12
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cosh_FR_M_temp = f13
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cosh_FR_R_temp = f13
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cosh_FR_Rsq = f13
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cosh_FR_R = f14
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cosh_FR_M = f38
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cosh_FR_tmp = f15
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cosh_FR_B1 = f15
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cosh_FR_B2 = f32
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cosh_FR_B3 = f33
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cosh_FR_peven_temp1 = f34
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cosh_FR_peven_temp2 = f35
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cosh_FR_peven = f36
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cosh_FR_podd_temp1 = f34
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cosh_FR_podd_temp2 = f35
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cosh_FR_podd = f37
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cosh_FR_J_temp = f9
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cosh_FR_J = f10
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cosh_FR_Mmj = f39
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cosh_FR_N_temp1 = f11
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cosh_FR_N_temp2 = f12
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cosh_FR_N = f13
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cosh_FR_spos = f14
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cosh_FR_sneg = f15
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cosh_FR_Tjhi = f32
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cosh_FR_Tjlo = f33
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cosh_FR_Tmjhi = f34
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cosh_FR_Tmjlo = f35
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GR_mJ = r35
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GR_J = r36
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AD_mJ = r38
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AD_J = r39
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cosh_GR_all_ones = r40
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GR_SAVE_PFS = r41
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GR_SAVE_B0 = r42
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GR_SAVE_GP = r43
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GR_Parameter_X = r44
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GR_Parameter_Y = r45
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GR_Parameter_RESULT = r46
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GR_Parameter_TAG = r47
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cosh_FR_C_hi = f9
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cosh_FR_C_hi_temp = f10
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cosh_FR_C_lo_temp1 = f11
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cosh_FR_C_lo_temp2 = f12
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cosh_FR_C_lo_temp3 = f13
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cosh_FR_C_lo = f38
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cosh_FR_S_hi = f39
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cosh_FR_S_hi_temp1 = f10
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cosh_FR_Y_hi = f11
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cosh_FR_Y_lo_temp = f12
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cosh_FR_Y_lo = f13
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cosh_FR_COSH = f9
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cosh_FR_X2 = f9
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cosh_FR_X4 = f10
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cosh_FR_P1 = f14
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cosh_FR_P2 = f15
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cosh_FR_P3 = f32
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cosh_FR_P4 = f33
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cosh_FR_P5 = f34
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cosh_FR_P6 = f35
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cosh_FR_TINY_THRESH = f9
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cosh_FR_COSH_temp = f10
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cosh_FR_SCALE = f11
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cosh_FR_hi_lo = f10
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cosh_FR_poly_podd_temp1 = f11
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cosh_FR_poly_podd_temp2 = f13
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cosh_FR_poly_peven_temp1 = f11
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cosh_FR_poly_peven_temp2 = f13
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// Data tables
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//==============================================================
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#ifdef _LIBC
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.rodata
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#else
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.data
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#endif
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.align 16
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double_cosh_arg_reduction:
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ASM_TYPE_DIRECTIVE(double_cosh_arg_reduction,@object)
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data8 0xB8AA3B295C17F0BC, 0x00004005
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data8 0xB17217F7D1000000, 0x00003FF8
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data8 0xCF79ABC9E3B39804, 0x00003FD0
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ASM_SIZE_DIRECTIVE(double_cosh_arg_reduction)
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double_cosh_p_table:
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ASM_TYPE_DIRECTIVE(double_cosh_p_table,@object)
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data8 0x8000000000000000, 0x00003FFE
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data8 0xAAAAAAAAAAAAAB80, 0x00003FFA
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data8 0xB60B60B60B4FE884, 0x00003FF5
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data8 0xD00D00D1021D7370, 0x00003FEF
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data8 0x93F27740C0C2F1CC, 0x00003FE9
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data8 0x8FA02AC65BCBD5BC, 0x00003FE2
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ASM_SIZE_DIRECTIVE(double_cosh_p_table)
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double_cosh_ab_table:
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ASM_TYPE_DIRECTIVE(double_cosh_ab_table,@object)
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data8 0xAAAAAAAAAAAAAAAC, 0x00003FFC
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data8 0x88888888884ECDD5, 0x00003FF8
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data8 0xD00D0C6DCC26A86B, 0x00003FF2
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data8 0x8000000000000002, 0x00003FFE
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data8 0xAAAAAAAAAA402C77, 0x00003FFA
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data8 0xB60B6CC96BDB144D, 0x00003FF5
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ASM_SIZE_DIRECTIVE(double_cosh_ab_table)
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double_cosh_j_table:
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ASM_TYPE_DIRECTIVE(double_cosh_j_table,@object)
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data8 0xB504F333F9DE6484, 0x00003FFE, 0x1EB2FB13, 0x00000000
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data8 0xB6FD91E328D17791, 0x00003FFE, 0x1CE2CBE2, 0x00000000
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data8 0xB8FBAF4762FB9EE9, 0x00003FFE, 0x1DDC3CBC, 0x00000000
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data8 0xBAFF5AB2133E45FB, 0x00003FFE, 0x1EE9AA34, 0x00000000
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data8 0xBD08A39F580C36BF, 0x00003FFE, 0x9EAEFDC1, 0x00000000
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data8 0xBF1799B67A731083, 0x00003FFE, 0x9DBF517B, 0x00000000
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data8 0xC12C4CCA66709456, 0x00003FFE, 0x1EF88AFB, 0x00000000
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data8 0xC346CCDA24976407, 0x00003FFE, 0x1E03B216, 0x00000000
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data8 0xC5672A115506DADD, 0x00003FFE, 0x1E78AB43, 0x00000000
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data8 0xC78D74C8ABB9B15D, 0x00003FFE, 0x9E7B1747, 0x00000000
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data8 0xC9B9BD866E2F27A3, 0x00003FFE, 0x9EFE3C0E, 0x00000000
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data8 0xCBEC14FEF2727C5D, 0x00003FFE, 0x9D36F837, 0x00000000
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data8 0xCE248C151F8480E4, 0x00003FFE, 0x9DEE53E4, 0x00000000
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data8 0xD06333DAEF2B2595, 0x00003FFE, 0x9E24AE8E, 0x00000000
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data8 0xD2A81D91F12AE45A, 0x00003FFE, 0x1D912473, 0x00000000
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data8 0xD4F35AABCFEDFA1F, 0x00003FFE, 0x1EB243BE, 0x00000000
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data8 0xD744FCCAD69D6AF4, 0x00003FFE, 0x1E669A2F, 0x00000000
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data8 0xD99D15C278AFD7B6, 0x00003FFE, 0x9BBC610A, 0x00000000
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data8 0xDBFBB797DAF23755, 0x00003FFE, 0x1E761035, 0x00000000
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data8 0xDE60F4825E0E9124, 0x00003FFE, 0x9E0BE175, 0x00000000
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data8 0xE0CCDEEC2A94E111, 0x00003FFE, 0x1CCB12A1, 0x00000000
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data8 0xE33F8972BE8A5A51, 0x00003FFE, 0x1D1BFE90, 0x00000000
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data8 0xE5B906E77C8348A8, 0x00003FFE, 0x1DF2F47A, 0x00000000
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data8 0xE8396A503C4BDC68, 0x00003FFE, 0x1EF22F22, 0x00000000
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data8 0xEAC0C6E7DD24392F, 0x00003FFE, 0x9E3F4A29, 0x00000000
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data8 0xED4F301ED9942B84, 0x00003FFE, 0x1EC01A5B, 0x00000000
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data8 0xEFE4B99BDCDAF5CB, 0x00003FFE, 0x1E8CAC3A, 0x00000000
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data8 0xF281773C59FFB13A, 0x00003FFE, 0x9DBB3FAB, 0x00000000
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data8 0xF5257D152486CC2C, 0x00003FFE, 0x1EF73A19, 0x00000000
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data8 0xF7D0DF730AD13BB9, 0x00003FFE, 0x9BB795B5, 0x00000000
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data8 0xFA83B2DB722A033A, 0x00003FFE, 0x1EF84B76, 0x00000000
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data8 0xFD3E0C0CF486C175, 0x00003FFE, 0x9EF5818B, 0x00000000
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data8 0x8000000000000000, 0x00003FFF, 0x00000000, 0x00000000
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data8 0x8164D1F3BC030773, 0x00003FFF, 0x1F77CACA, 0x00000000
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data8 0x82CD8698AC2BA1D7, 0x00003FFF, 0x1EF8A91D, 0x00000000
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data8 0x843A28C3ACDE4046, 0x00003FFF, 0x1E57C976, 0x00000000
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data8 0x85AAC367CC487B15, 0x00003FFF, 0x9EE8DA92, 0x00000000
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data8 0x871F61969E8D1010, 0x00003FFF, 0x1EE85C9F, 0x00000000
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data8 0x88980E8092DA8527, 0x00003FFF, 0x1F3BF1AF, 0x00000000
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data8 0x8A14D575496EFD9A, 0x00003FFF, 0x1D80CA1E, 0x00000000
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data8 0x8B95C1E3EA8BD6E7, 0x00003FFF, 0x9D0373AF, 0x00000000
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data8 0x8D1ADF5B7E5BA9E6, 0x00003FFF, 0x9F167097, 0x00000000
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data8 0x8EA4398B45CD53C0, 0x00003FFF, 0x1EB70051, 0x00000000
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data8 0x9031DC431466B1DC, 0x00003FFF, 0x1F6EB029, 0x00000000
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data8 0x91C3D373AB11C336, 0x00003FFF, 0x1DFD6D8E, 0x00000000
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data8 0x935A2B2F13E6E92C, 0x00003FFF, 0x9EB319B0, 0x00000000
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data8 0x94F4EFA8FEF70961, 0x00003FFF, 0x1EBA2BEB, 0x00000000
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data8 0x96942D3720185A00, 0x00003FFF, 0x1F11D537, 0x00000000
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data8 0x9837F0518DB8A96F, 0x00003FFF, 0x1F0D5A46, 0x00000000
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data8 0x99E0459320B7FA65, 0x00003FFF, 0x9E5E7BCA, 0x00000000
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data8 0x9B8D39B9D54E5539, 0x00003FFF, 0x9F3AAFD1, 0x00000000
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data8 0x9D3ED9A72CFFB751, 0x00003FFF, 0x9E86DACC, 0x00000000
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data8 0x9EF5326091A111AE, 0x00003FFF, 0x9F3EDDC2, 0x00000000
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|
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 coshl#
|
|
|
|
|
|
|
|
|
|
.section .text
|
|
|
|
|
.proc coshl#
|
|
|
|
|
.align 32
|
|
|
|
|
|
|
|
|
|
coshl:
|
|
|
|
|
|
|
|
|
|
#ifdef _LIBC
|
|
|
|
|
.global __ieee754_coshl#
|
|
|
|
|
.proc __ieee754_coshl#
|
|
|
|
|
__ieee754_coshl:
|
|
|
|
|
#endif
|
|
|
|
|
|
|
|
|
|
// X NAN?
|
|
|
|
|
|
|
|
|
|
{ .mfi
|
|
|
|
|
alloc r32 = ar.pfs,0,12,4,0
|
|
|
|
|
(p0) fclass.m.unc p6,p7 = f8, 0xc3
|
|
|
|
|
mov cosh_GR_all_ones = -1
|
|
|
|
|
};;
|
|
|
|
|
|
|
|
|
|
// This is more than we need but it is in preparation
|
|
|
|
|
// for the values we add for error support. We push three
|
|
|
|
|
// addresses on the stack (3*8) = 24 bytes and one tag
|
|
|
|
|
|
|
|
|
|
{ .mfb
|
|
|
|
|
nop.m 999
|
|
|
|
|
(p6) fma.s0 f8 = f8,f1,f8
|
|
|
|
|
(p6) br.ret.spnt b0 ;;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
// Make constant that will generate inexact when squared
|
|
|
|
|
// X infinity
|
|
|
|
|
{ .mfi
|
|
|
|
|
setf.sig cosh_FR_all_ones = cosh_GR_all_ones
|
|
|
|
|
(p0) fclass.m.unc p6,p0 = f8, 0x23
|
|
|
|
|
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.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 Extended
|
|
|
|
|
// Go to HUGE if |x| >= 2^14, 1000d (register-biased) is e = 14 (true)
|
|
|
|
|
// 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 = 0x000000000001000d ;;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
{ .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.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 > 0x3ffe = 16382
|
|
|
|
|
// There is a danger of double overflow if N-1 > 0x3fe = 1022
|
|
|
|
|
// There is a danger of single overflow if N-1 > 0x7e = 126
|
|
|
|
|
|
|
|
|
|
{ .mlx
|
|
|
|
|
nop.m 999
|
|
|
|
|
(p0) movl r32 = 0x0000000000003ffe ;;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
{ .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.s0 f44 = cosh_FR_spos, cosh_FR_COSH_temp, f0
|
|
|
|
|
nop.i 999 ;;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// Dummy multiply to generate inexact
|
|
|
|
|
{ .mfi
|
|
|
|
|
nop.m 999
|
|
|
|
|
(p7) fmpy.s0 cosh_FR_tmp = cosh_FR_all_ones, cosh_FR_all_ones
|
|
|
|
|
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.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 than the exponent of the largest
|
|
|
|
|
// double (7FE). So 0 103FF 8000000000000000 is one ulp more than
|
|
|
|
|
// largest double in register bias
|
|
|
|
|
|
|
|
|
|
// 13FFF => 13FFF -FFFF = 4000(true)
|
|
|
|
|
|
|
|
|
|
// 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 = 0x0000000000013fff ;;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
{ .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 63
|
|
|
|
|
{ .mii
|
|
|
|
|
nop.m 999
|
|
|
|
|
nop.i 999 ;;
|
|
|
|
|
(p8) mov GR_Parameter_TAG = 63 ;;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
{ .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 GR_Parameter_TAG = 63
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
{ .mib
|
|
|
|
|
nop.m 999
|
|
|
|
|
nop.i 999
|
|
|
|
|
(p9) br.cond.spnt __libm_error_region ;;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// Dummy multiply to generate inexact
|
|
|
|
|
{ .mfi
|
|
|
|
|
nop.m 999
|
|
|
|
|
(p0) fmpy.s0 cosh_FR_tmp = cosh_FR_all_ones, cosh_FR_all_ones
|
|
|
|
|
nop.i 999 ;;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
{ .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.s0 f44 = f9, cosh_FR_hi_lo, f0
|
|
|
|
|
(p0) mov GR_Parameter_TAG = 63
|
|
|
|
|
}
|
|
|
|
|
.endp coshl
|
|
|
|
|
ASM_SIZE_DIRECTIVE(coshl)
|
|
|
|
|
|
|
|
|
|
.proc __libm_error_region
|
|
|
|
|
__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_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_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
|
|
|
|
|
};;
|
|
|
|
|
|
|
|
|
|
.endp __libm_error_region
|
|
|
|
|
ASM_SIZE_DIRECTIVE(__libm_error_region)
|
|
|
|
|
|
|
|
|
|
.type __libm_error_support#,@function
|
|
|
|
|
.global __libm_error_support#
|
