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.file "exp.s"
// Copyright (c) 2000, 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 // 3/07/00 exp(inf) = inf but now does NOT call error support// exp(-inf) = 0 but now does NOT call error support// 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.// 11/30/00 Reworked to shorten main path, widen main path to include all// args in normal range, and add quick exit for 0, nan, inf.// 12/05/00 Loaded constants earlier with setf to save 2 cycles.
// API//==============================================================// double exp(double)
// Overview of operation//==============================================================// 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 series// r = x - n (log2/128)_high// delta = - n (log2/128)_low// Calculate exp(delta) as 1 + delta
// Special values //==============================================================// exp(+0) = 1.0// exp(-0) = 1.0
// exp(+qnan) = +qnan // exp(-qnan) = -qnan // exp(+snan) = +qnan // exp(-snan) = -qnan
// exp(-inf) = +0 // exp(+inf) = +inf
// Overfow and Underfow//=======================// exp(-x) = smallest double normal when// x = -708.396 = c086232bdd7abcd2
// exp(x) = largest double normal when// x = 709.7827 = 40862e42fefa39ef
// Registers used//==============================================================// Floating Point registers used: // f8, input// f9 -> f15, f32 -> f60
// General registers used: // r32 -> r60
// Predicate registers used:// p6 -> p15
// Assembly macros//==============================================================
exp_GR_rshf = r33EXP_AD_TB1 = r34EXP_AD_TB2 = r35EXP_AD_P = r36
exp_GR_N = r37exp_GR_index_1 = r38exp_GR_index_2_16 = r39
exp_GR_biased_M = r40exp_GR_index_1_16 = r41EXP_AD_T1 = r42EXP_AD_T2 = r43exp_GR_sig_inv_ln2 = r44
exp_GR_17ones = r45exp_GR_one = r46exp_TB1_size = r47exp_TB2_size = r48exp_GR_rshf_2to56 = r49
exp_GR_gt_ln = r50exp_GR_exp_2tom56 = r51
exp_GR_17ones_m1 = r52
GR_SAVE_B0 = r53GR_SAVE_PFS = r54GR_SAVE_GP = r55GR_SAVE_SP = r56
GR_Parameter_X = r57GR_Parameter_Y = r58GR_Parameter_RESULT = r59GR_Parameter_TAG = r60
FR_X = f10FR_Y = f1FR_RESULT = f8
EXP_RSHF_2TO56 = f6EXP_INV_LN2_2TO63 = f7EXP_W_2TO56_RSH = f9EXP_2TOM56 = f11exp_P4 = f12 exp_P3 = f13 exp_P2 = f14 exp_P1 = f15
exp_ln2_by_128_hi = f33 exp_ln2_by_128_lo = f34
EXP_RSHF = f35EXP_Nfloat = f36 exp_W = f37exp_r = f38exp_f = f39
exp_rsq = f40exp_rcube = f41
EXP_2M = f42exp_S1 = f43exp_T1 = f44
EXP_MIN_DBL_OFLOW_ARG = f45EXP_MAX_DBL_ZERO_ARG = f46EXP_MAX_DBL_NORM_ARG = f47EXP_MAX_DBL_UFLOW_ARG = f48EXP_MIN_DBL_NORM_ARG = f49exp_rP4pP3 = f50exp_P_lo = f51exp_P_hi = f52exp_P = f53exp_S = f54
EXP_NORM_f8 = f56
exp_wre_urm_f8 = f57exp_ftz_urm_f8 = f57
exp_gt_pln = f58
exp_S2 = f59exp_T2 = f60
// Data tables//==============================================================
.data
.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. EXP_RSHF_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 EXP_W_2TO56_RSH.// 2. EXP_RSHF = 1.1000..00 * 2^(63) // This constant is subtracted from EXP_W_2TO56_RSH * 2^(-56) to give// the integer part of w, n, as a floating-point number.// The result of this fms is EXP_Nfloat.
exp_table_1:data8 0x40862e42fefa39f0 // smallest dbl overflow argdata8 0xc0874c0000000000 // approx largest arg for zero resultdata8 0x40862e42fefa39ef // largest dbl arg to give normal dbl resultdata8 0xc086232bdd7abcd3 // largest dbl underflow argdata8 0xc086232bdd7abcd2 // smallest dbl arg to give normal dbl resultdata8 0x0 // paddata8 0xb17217f7d1cf79ab , 0x00003ff7 // ln2/128 hidata8 0xc9e3b39803f2f6af , 0x00003fb7 // ln2/128 lo
// Table 1 is 2^(index_1/128) where// index_1 goes from 0 to 15
data8 0x8000000000000000 , 0x00003FFFdata8 0x80B1ED4FD999AB6C , 0x00003FFFdata8 0x8164D1F3BC030773 , 0x00003FFFdata8 0x8218AF4373FC25EC , 0x00003FFFdata8 0x82CD8698AC2BA1D7 , 0x00003FFFdata8 0x8383594EEFB6EE37 , 0x00003FFFdata8 0x843A28C3ACDE4046 , 0x00003FFFdata8 0x84F1F656379C1A29 , 0x00003FFFdata8 0x85AAC367CC487B15 , 0x00003FFFdata8 0x8664915B923FBA04 , 0x00003FFFdata8 0x871F61969E8D1010 , 0x00003FFFdata8 0x87DB357FF698D792 , 0x00003FFFdata8 0x88980E8092DA8527 , 0x00003FFFdata8 0x8955EE03618E5FDD , 0x00003FFFdata8 0x8A14D575496EFD9A , 0x00003FFFdata8 0x8AD4C6452C728924 , 0x00003FFF
// Table 2 is 2^(index_1/8) where// index_2 goes from 0 to 7exp_table_2:data8 0x8000000000000000 , 0x00003FFFdata8 0x8B95C1E3EA8BD6E7 , 0x00003FFFdata8 0x9837F0518DB8A96F , 0x00003FFFdata8 0xA5FED6A9B15138EA , 0x00003FFFdata8 0xB504F333F9DE6484 , 0x00003FFFdata8 0xC5672A115506DADD , 0x00003FFFdata8 0xD744FCCAD69D6AF4 , 0x00003FFFdata8 0xEAC0C6E7DD24392F , 0x00003FFF
exp_p_table:data8 0x3f8111116da21757 //P_4data8 0x3fa55555d787761c //P_3data8 0x3fc5555555555414 //P_2data8 0x3fdffffffffffd6a //P_1
.align 32.global exp#
.section .text.proc exp#
.align 32exp:
{ .mlx alloc r32=ar.pfs,1,24,4,0 movl exp_GR_sig_inv_ln2 = 0xb8aa3b295c17f0bc // significand of 1/ln2}{ .mlx addl EXP_AD_TB1 = @ltoff(exp_table_1), gp movl exp_GR_rshf_2to56 = 0x4768000000000000 ;; // 1.10000 2^(63+56)
};;
// We do this fnorm right at the beginning to take any enabled// faults and to normalize any input unnormals so that SWA is not taken.{ .mfi ld8 EXP_AD_TB1 = [EXP_AD_TB1] fclass.m p8,p0 = f8,0x07 // Test for x=0 mov exp_GR_17ones = 0x1FFFF }{ .mfi mov exp_TB1_size = 0x100 fnorm EXP_NORM_f8 = f8 mov exp_GR_exp_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
{ .mmf setf.sig EXP_INV_LN2_2TO63 = exp_GR_sig_inv_ln2 // form 1/ln2 * 2^63 setf.d EXP_RSHF_2TO56 = exp_GR_rshf_2to56 // Form const 1.100 * 2^(63+56) fclass.m p9,p0 = f8,0x22 // Test for x=-inf};;
{ .mlx setf.exp EXP_2TOM56 = exp_GR_exp_2tom56 // form 2^-56 for scaling Nfloat movl exp_GR_rshf = 0x43e8000000000000 // 1.10000 2^63 for right shift}{ .mfb mov exp_TB2_size = 0x80(p8) fma.d f8 = f1,f1,f0 // quick exit for x=0(p8) br.ret.spnt b0;;
}
{ .mfi ldfpd EXP_MIN_DBL_OFLOW_ARG, EXP_MAX_DBL_ZERO_ARG = [EXP_AD_TB1],16 fclass.m p10,p0 = f8,0x21 // Test for x=+inf nop.i 999}{ .mfb nop.m 999(p9) fma.d f8 = f0,f0,f0 // quick exit for x=-inf(p9) br.ret.spnt b0;;
}
{ .mmf ldfpd EXP_MAX_DBL_NORM_ARG, EXP_MAX_DBL_UFLOW_ARG = [EXP_AD_TB1],16 setf.d EXP_RSHF = exp_GR_rshf // Form right shift const 1.100 * 2^63 fclass.m p11,p0 = f8,0xc3 // Test for x=nan;;
}
{ .mfb ldfd EXP_MIN_DBL_NORM_ARG = [EXP_AD_TB1],16 nop.f 999(p10) br.ret.spnt b0 // quick exit for x=+inf;;
}
{ .mfi ldfe exp_ln2_by_128_hi = [EXP_AD_TB1],16 nop.f 999 nop.i 999;;
}
{ .mfb ldfe exp_ln2_by_128_lo = [EXP_AD_TB1],16(p11) fmerge.s f8 = EXP_NORM_f8, EXP_NORM_f8(p11) br.ret.spnt b0 // quick exit for x=nan;;
}
// After that last load, EXP_AD_TB1 points to the beginning of table 1
// 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 nop.m 999 fma.s1 EXP_W_2TO56_RSH = EXP_NORM_f8, EXP_INV_LN2_2TO63, EXP_RSHF_2TO56 nop.i 999;;
}
// Divide arguments into the following categories:// Certain Underflow/zero p11 - -inf < x <= MAX_DBL_ZERO_ARG // Certain Underflow p12 - MAX_DBL_ZERO_ARG < x <= MAX_DBL_UFLOW_ARG // Possible Underflow p13 - MAX_DBL_UFLOW_ARG < x < MIN_DBL_NORM_ARG// Certain Safe - MIN_DBL_NORM_ARG <= 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// Underflow" or "Possible Overflow" arguments.//
{ .mfi add EXP_AD_TB2 = exp_TB1_size, EXP_AD_TB1 fcmp.ge.s1 p15,p14 = EXP_NORM_f8,EXP_MIN_DBL_OFLOW_ARG nop.i 999;;
}
{ .mfi add EXP_AD_P = exp_TB2_size, EXP_AD_TB2 fcmp.le.s1 p11,p12 = EXP_NORM_f8,EXP_MAX_DBL_ZERO_ARG nop.i 999;;
}
{ .mfb ldfpd exp_P4, exp_P3 = [EXP_AD_P] ,16(p14) fcmp.gt.unc.s1 p14,p0 = EXP_NORM_f8,EXP_MAX_DBL_NORM_ARG(p15) br.cond.spnt EXP_CERTAIN_OVERFLOW;;
}
// Nfloat = round_int(W) // The signficand of EXP_W_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 exp_GR_N.
// Since EXP_W_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 EXP_Nfloat.// Thus, EXP_Nfloat contains the floating point version of N
{ .mfi nop.m 999(p12) fcmp.le.unc p12,p0 = EXP_NORM_f8,EXP_MAX_DBL_UFLOW_ARG nop.i 999}{ .mfb ldfpd exp_P2, exp_P1 = [EXP_AD_P] fms.s1 EXP_Nfloat = EXP_W_2TO56_RSH, EXP_2TOM56, EXP_RSHF (p11) br.cond.spnt EXP_CERTAIN_UNDERFLOW_ZERO;;
}
{ .mfi getf.sig exp_GR_N = EXP_W_2TO56_RSH(p13) fcmp.lt.unc p13,p0 = EXP_NORM_f8,EXP_MIN_DBL_NORM_ARG nop.i 999;;
}
// exp_GR_index_1 has index_1// exp_GR_index_2_16 has index_2 * 16// exp_GR_biased_M has M// exp_GR_index_1_16 has index_1 * 16
// r2 has true M{ .mfi and exp_GR_index_1 = 0x0f, exp_GR_N fnma.s1 exp_r = EXP_Nfloat, exp_ln2_by_128_hi, EXP_NORM_f8 shr r2 = exp_GR_N, 0x7}{ .mfi and exp_GR_index_2_16 = 0x70, exp_GR_N fnma.s1 exp_f = EXP_Nfloat, exp_ln2_by_128_lo, f1 nop.i 999;;
}
// EXP_AD_T1 has address of T1 // EXP_AD_T2 has address if T2
{ .mmi addl exp_GR_biased_M = 0xffff, r2 add EXP_AD_T2 = EXP_AD_TB2, exp_GR_index_2_16 shladd EXP_AD_T1 = exp_GR_index_1, 4, EXP_AD_TB1;;
}
// Create Scale = 2^M// r = x - Nfloat * ln2_by_128_hi // f = 1 - Nfloat * ln2_by_128_lo
{ .mmi setf.exp EXP_2M = exp_GR_biased_M ldfe exp_T2 = [EXP_AD_T2] nop.i 999;;
}
// Load T1 and T2{ .mfi ldfe exp_T1 = [EXP_AD_T1] nop.f 999 nop.i 999;;
}
{ .mfi nop.m 999 fma.s1 exp_rsq = exp_r, exp_r, f0 nop.i 999}{ .mfi nop.m 999 fma.s1 exp_rP4pP3 = exp_r, exp_P4, exp_P3 nop.i 999;;
}
{ .mfi nop.m 999 fma.s1 exp_rcube = exp_r, exp_rsq, f0 nop.i 999 }{ .mfi nop.m 999 fma.s1 exp_P_lo = exp_r, exp_rP4pP3, exp_P2 nop.i 999;;
}
{ .mfi nop.m 999 fma.s1 exp_P_hi = exp_rsq, exp_P1, exp_r nop.i 999}{ .mfi nop.m 999 fma.s1 exp_S2 = exp_f,exp_T2,f0 nop.i 999;;
}
{ .mfi nop.m 999 fma.s1 exp_S1 = EXP_2M,exp_T1,f0 nop.i 999;;
}
{ .mfi nop.m 999 fma.s1 exp_P = exp_rcube, exp_P_lo, exp_P_hi nop.i 999;;
}
{ .mfi nop.m 999 fma.s1 exp_S = exp_S1,exp_S2,f0 nop.i 999;;
}
{ .bbb(p12) br.cond.spnt EXP_CERTAIN_UNDERFLOW(p13) br.cond.spnt EXP_POSSIBLE_UNDERFLOW(p14) br.cond.spnt EXP_POSSIBLE_OVERFLOW;;
}
{ .mfb nop.m 999 fma.d f8 = exp_S, exp_P, exp_S br.ret.sptk b0 ;; // Normal path exit
}
EXP_POSSIBLE_OVERFLOW:
// We got an answer. EXP_MAX_DBL_NORM_ARG < x < EXP_MIN_DBL_OFLOW_ARG// overflow is a possibility, not a certainty
{ .mfi nop.m 999 fsetc.s2 0x7F,0x42 nop.i 999 ;;
}
{ .mfi nop.m 999 fma.d.s2 exp_wre_urm_f8 = exp_S, exp_P, exp_S nop.i 999 ;;
}
// We define an overflow when the answer with// WRE set// user-defined rounding mode// is ldn +1
// Is the exponent 1 more than the largest double?// If so, go to ERROR RETURN, else get the answer and // leave.
// Largest double is 7FE (biased double)// 7FE - 3FF + FFFF = 103FE// Create + largest_double_plus_ulp// Create - largest_double_plus_ulp// Calculate answer with WRE set.
// Cases when answer is ldn+1 are as follows:// ldn ldn+1// --+----------|----------+------------// | // +inf +inf -inf// RN RN// RZ
{ .mfi nop.m 999 fsetc.s2 0x7F,0x40 mov exp_GR_gt_ln = 0x103ff ;;
}
{ .mfi setf.exp exp_gt_pln = exp_GR_gt_ln nop.f 999 nop.i 999 ;;
}
{ .mfi nop.m 999 fcmp.ge.unc.s1 p6, p0 = exp_wre_urm_f8, exp_gt_pln nop.i 999 ;;
}
{ .mfb nop.m 999 nop.f 999(p6) br.cond.spnt EXP_CERTAIN_OVERFLOW ;; // Branch if really overflow
}
{ .mfb nop.m 999 fma.d f8 = exp_S, exp_P, exp_S br.ret.sptk b0 ;; // Exit if really no overflow
}
EXP_CERTAIN_OVERFLOW:{ .mmi sub exp_GR_17ones_m1 = exp_GR_17ones, r0, 1 ;;
setf.exp f9 = exp_GR_17ones_m1 nop.i 999 ;;
}
{ .mfi nop.m 999 fmerge.s FR_X = f8,f8 nop.i 999}{ .mfb mov GR_Parameter_TAG = 14 fma.d FR_RESULT = f9, f9, f0 // Set I,O and +INF result br.cond.sptk __libm_error_region ;;
}
EXP_POSSIBLE_UNDERFLOW:
// We got an answer. EXP_MAX_DBL_UFLOW_ARG < x < EXP_MIN_DBL_NORM_ARG// underflow is a possibility, not a certainty
// We define an underflow when the answer with// ftz set// is zero (tiny numbers become zero)
// Notice (from below) that if we have an unlimited exponent range,// then there is an extra machine number E between the largest denormal and// the smallest normal.
// So if with unbounded exponent we round to E or below, then we are// tiny and underflow has occurred.
// But notice that you can be in a situation where we are tiny, namely// rounded to E, but when the exponent is bounded we round to smallest// normal. So the answer can be the smallest normal with underflow.
// E// -----+--------------------+--------------------+-----// | | |// 1.1...10 2^-3fff 1.1...11 2^-3fff 1.0...00 2^-3ffe// 0.1...11 2^-3ffe (biased, 1)// largest dn smallest normal
{ .mfi nop.m 999 fsetc.s2 0x7F,0x41 nop.i 999 ;;
}{ .mfi nop.m 999 fma.d.s2 exp_ftz_urm_f8 = exp_S, exp_P, exp_S nop.i 999 ;;
}{ .mfi nop.m 999 fsetc.s2 0x7F,0x40 nop.i 999 ;;
}{ .mfi nop.m 999 fcmp.eq.unc.s1 p6, p0 = exp_ftz_urm_f8, f0 nop.i 999 ;;
}{ .mfb nop.m 999 nop.f 999(p6) br.cond.spnt EXP_CERTAIN_UNDERFLOW ;; // Branch if really underflow
}{ .mfb nop.m 999 fma.d f8 = exp_S, exp_P, exp_S br.ret.sptk b0 ;; // Exit if really no underflow
}
EXP_CERTAIN_UNDERFLOW:{ .mfi nop.m 999 fmerge.s FR_X = f8,f8 nop.i 999}{ .mfb mov GR_Parameter_TAG = 15 fma.d FR_RESULT = exp_S, exp_P, exp_S // Set I,U and tiny result br.cond.sptk __libm_error_region ;;
}
EXP_CERTAIN_UNDERFLOW_ZERO:{ .mmi mov exp_GR_one = 1 ;;
setf.exp f9 = exp_GR_one nop.i 999 ;;
}
{ .mfi nop.m 999 fmerge.s FR_X = f8,f8 nop.i 999}{ .mfb mov GR_Parameter_TAG = 15 fma.d FR_RESULT = f9, f9, f0 // Set I,U and tiny (+0.0) result br.cond.sptk __libm_error_region ;;
}
.endp exp
.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 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 nop.m 0 nop.m 0 add GR_Parameter_RESULT = 48,sp};;
{ .mmi ldfd f8 = [GR_Parameter_RESULT] // Get return result off stack.restore 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.type __libm_error_support#,@function
.global __libm_error_support#
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