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-.file "asin.s"
-
-
-// Copyright (c) 2000 - 2003 Intel Corporation
-// All rights reserved.
-//
-//
-// Redistribution and use in source and binary forms, with or without
-// modification, are permitted provided that the following conditions are
-// met:
-//
-// * Redistributions of source code must retain the above copyright
-// notice, this list of conditions and the following disclaimer.
-//
-// * Redistributions in binary form must reproduce the above copyright
-// notice, this list of conditions and the following disclaimer in the
-// documentation and/or other materials provided with the distribution.
-//
-// * The name of Intel Corporation may not be used to endorse or promote
-// products derived from this software without specific prior written
-// permission.
-
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
-// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
-// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-//
-// Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at
-// http://www.intel.com/software/products/opensource/libraries/num.htm.
-
-// History
-//==============================================================
-// 02/02/00 Initial version
-// 08/17/00 New and much faster algorithm.
-// 08/31/00 Avoided bank conflicts on loads, shortened |x|=1 path,
-//          fixed mfb split issue stalls.
-// 12/19/00 Fixed small arg cases to force inexact, or inexact and underflow.
-// 08/02/02 New and much faster algorithm II
-// 02/06/03 Reordered header: .section, .global, .proc, .align
-
-// Description
-//=========================================
-// The asin function computes the principal value of the arc sine of x.
-// asin(0) returns 0, asin(1) returns pi/2, asin(-1) returns -pi/2.
-// A domain error occurs for arguments not in the range [-1,+1].
-//
-// The asin function returns the arc sine in the range [-pi/2, +pi/2] radians.
-//
-// There are 8 paths:
-// 1. x = +/-0.0
-//    Return asin(x) = +/-0.0
-//
-// 2. 0.0 < |x| < 0.625
-//    Return asin(x) = x + x^3 *PolA(x^2)
-//    where PolA(x^2) = A3 + A5*x^2 + A7*x^4 +...+ A35*x^32
-//
-// 3. 0.625 <=|x| < 1.0
-//    Return asin(x) = sign(x) * ( Pi/2 - sqrt(R) * PolB(R))
-//    Where R = 1 - |x|,
-//          PolB(R) = B0 + B1*R + B2*R^2 +...+B12*R^12
-//
-//    sqrt(R) is approximated using the following sequence:
-//        y0 = (1 + eps)/sqrt(R) - initial approximation by frsqrta,
-//             |eps| < 2^(-8)
-//        Then 3 iterations are used to refine the result:
-//        H0 = 0.5*y0
-//        S0 = R*y0
-//
-//        d0 = 0.5 - H0*S0
-//        H1 = H0 + d0*H0
-//        S1 = S0 + d0*S0
-//
-//        d1 = 0.5 - H1*S1
-//        H2 = H1 + d0*H1
-//        S2 = S1 + d0*S1
-//
-//        d2 = 0.5 - H2*S2
-//        S3 = S3 + d2*S3
-//
-//        S3 approximates sqrt(R) with enough accuracy for this algorithm
-//
-//    So, the result should be reconstracted as follows:
-//    asin(x) = sign(x) * (Pi/2 - S3*PolB(R))
-//
-//    But for optimization perposes the reconstruction step is slightly
-//    changed:
-//    asin(x) = sign(x)*(Pi/2 - PolB(R)*S2) + sign(x)*d2*S2*PolB(R)
-//
-// 4. |x| = 1.0
-//    Return asin(x) = sign(x)*Pi/2
-//
-// 5. 1.0 < |x| <= +INF
-//    A domain error occurs for arguments not in the range [-1,+1]
-//
-// 6. x = [S,Q]NaN
-//    Return asin(x) = QNaN
-//
-// 7. x is denormal
-//    Return asin(x) = x + x^3,
-//
-// 8. x is unnormal
-//    Normalize input in f8 and return to the very beginning of the function
-//
-// Registers used
-//==============================================================
-// Floating Point registers used:
-// f8, input, output
-// f6, f7, f9 -> f15, f32 -> f63
-
-// General registers used:
-// r3, r21 -> r31, r32 -> r38
-
-// Predicate registers used:
-// p0, p6 -> p14
-
-//
-// Assembly macros
-//=========================================
-// integer registers used
-// scratch
-rTblAddr                      = r3
-
-rPiBy2Ptr                     = r21
-rTmpPtr3                      = r22
-rDenoBound                    = r23
-rOne                          = r24
-rAbsXBits                     = r25
-rHalf                         = r26
-r0625                         = r27
-rSign                         = r28
-rXBits                        = r29
-rTmpPtr2                      = r30
-rTmpPtr1                      = r31
-
-// stacked
-GR_SAVE_PFS                   = r32
-GR_SAVE_B0                    = r33
-GR_SAVE_GP                    = r34
-GR_Parameter_X                = r35
-GR_Parameter_Y                = r36
-GR_Parameter_RESULT           = r37
-GR_Parameter_TAG              = r38
-
-// floating point registers used
-FR_X                          = f10
-FR_Y                          = f1
-FR_RESULT                     = f8
-
-
-// scratch
-fXSqr                         = f6
-fXCube                        = f7
-fXQuadr                       = f9
-f1pX                          = f10
-f1mX                          = f11
-f1pXRcp                       = f12
-f1mXRcp                       = f13
-fH                            = f14
-fS                            = f15
-// stacked
-fA3                           = f32
-fB1                           = f32
-fA5                           = f33
-fB2                           = f33
-fA7                           = f34
-fPiBy2                        = f34
-fA9                           = f35
-fA11                          = f36
-fB10                          = f35
-fB11                          = f36
-fA13                          = f37
-fA15                          = f38
-fB4                           = f37
-fB5                           = f38
-fA17                          = f39
-fA19                          = f40
-fB6                           = f39
-fB7                           = f40
-fA21                          = f41
-fA23                          = f42
-fB3                           = f41
-fB8                           = f42
-fA25                          = f43
-fA27                          = f44
-fB9                           = f43
-fB12                          = f44
-fA29                          = f45
-fA31                          = f46
-fA33                          = f47
-fA35                          = f48
-fBaseP                        = f49
-fB0                           = f50
-fSignedS                      = f51
-fD                            = f52
-fHalf                         = f53
-fR                            = f54
-fCloseTo1Pol                  = f55
-fSignX                        = f56
-fDenoBound                    = f57
-fNormX                        = f58
-fX8                           = f59
-fRSqr                         = f60
-fRQuadr                       = f61
-fR8                           = f62
-fX16                          = f63
-// Data tables
-//==============================================================
-RODATA
-.align 16
-LOCAL_OBJECT_START(asin_base_range_table)
-// Ai: Polynomial coefficients for the asin(x), |x| < .625000
-// Bi: Polynomial coefficients for the asin(x), |x| > .625000
-data8 0xBFDAAB56C01AE468 //A29
-data8 0x3FE1C470B76A5B2B //A31
-data8 0xBFDC5FF82A0C4205 //A33
-data8 0x3FC71FD88BFE93F0 //A35
-data8 0xB504F333F9DE6487, 0x00003FFF //B0
-data8 0xAAAAAAAAAAAAFC18, 0x00003FFC //A3
-data8 0x3F9F1C71BC4A7823 //A9
-data8 0x3F96E8BBAAB216B2 //A11
-data8 0x3F91C4CA1F9F8A98 //A13
-data8 0x3F8C9DDCEDEBE7A6 //A15
-data8 0x3F877784442B1516 //A17
-data8 0x3F859C0491802BA2 //A19
-data8 0x9999999998C88B8F, 0x00003FFB //A5
-data8 0x3F6BD7A9A660BF5E //A21
-data8 0x3F9FC1659340419D //A23
-data8 0xB6DB6DB798149BDF, 0x00003FFA //A7
-data8 0xBFB3EF18964D3ED3 //A25
-data8 0x3FCD285315542CF2 //A27
-data8 0xF15BEEEFF7D2966A, 0x00003FFB //B1
-data8 0x3EF0DDA376D10FB3 //B10
-data8 0xBEB83CAFE05EBAC9 //B11
-data8 0x3F65FFB67B513644 //B4
-data8 0x3F5032FBB86A4501 //B5
-data8 0x3F392162276C7CBA //B6
-data8 0x3F2435949FD98BDF //B7
-data8 0xD93923D7FA08341C, 0x00003FF9 //B2
-data8 0x3F802995B6D90BDB //B3
-data8 0x3F10DF86B341A63F //B8
-data8 0xC90FDAA22168C235, 0x00003FFF // Pi/2
-data8 0x3EFA3EBD6B0ECB9D //B9
-data8 0x3EDE18BA080E9098 //B12
-LOCAL_OBJECT_END(asin_base_range_table)
-
-
-.section .text
-GLOBAL_LIBM_ENTRY(asin)
-asin_unnormal_back:
-{ .mfi
-      getf.d             rXBits = f8 // grab bits of input value
-      // set p12 = 1 if x is a NaN, denormal, or zero
-      fclass.m           p12, p0 = f8, 0xcf
-      adds               rSign = 1, r0
-}
-{ .mfi
-      addl               rTblAddr = @ltoff(asin_base_range_table),gp
-      // 1 - x = 1 - |x| for positive x
-      fms.s1             f1mX = f1, f1, f8
-      addl               rHalf = 0xFFFE, r0 // exponent of 1/2
-}
-;;
-{ .mfi
-      addl               r0625 = 0x3FE4, r0 // high 16 bits of 0.625
-      // set p8 = 1 if x < 0
-      fcmp.lt.s1         p8, p9 = f8, f0
-      shl                rSign = rSign, 63 // sign bit
-}
-{ .mfi
-      // point to the beginning of the table
-      ld8                rTblAddr = [rTblAddr]
-      // 1 + x = 1 - |x| for negative x
-      fma.s1             f1pX = f1, f1, f8
-      adds               rOne = 0x3FF, r0
-}
-;;
-{ .mfi
-      andcm              rAbsXBits = rXBits, rSign // bits of |x|
-      fmerge.s           fSignX = f8, f1 // signum(x)
-      shl                r0625 = r0625, 48 // bits of DP representation of 0.625
-}
-{ .mfb
-      setf.exp           fHalf = rHalf // load A2 to FP reg
-      fma.s1             fXSqr = f8, f8, f0 // x^2
-      // branch on special path if x is a NaN, denormal, or zero
-(p12) br.cond.spnt       asin_special
-}
-;;
-{ .mfi
-      adds               rPiBy2Ptr = 272, rTblAddr
-      nop.f              0
-      shl                rOne = rOne, 52 // bits of 1.0
-}
-{ .mfi
-      adds               rTmpPtr1 = 16, rTblAddr
-      nop.f              0
-      // set p6 = 1 if |x| < 0.625
-      cmp.lt             p6, p7 = rAbsXBits, r0625
-}
-;;
-{ .mfi
-      ldfpd              fA29, fA31 = [rTblAddr] // A29, fA31
-      // 1 - x = 1 - |x| for positive x
-(p9)  fms.s1             fR = f1, f1, f8
-      // point to coefficient of "near 1" polynomial
-(p7)  adds               rTmpPtr2 = 176, rTblAddr
-}
-{ .mfi
-      ldfpd              fA33, fA35 = [rTmpPtr1], 16 // A33, fA35
-      // 1 + x = 1 - |x| for negative x
-(p8)  fma.s1             fR = f1, f1, f8
-(p6)  adds               rTmpPtr2 = 48, rTblAddr
-}
-;;
-{ .mfi
-      ldfe               fB0 = [rTmpPtr1], 16 // B0
-      nop.f              0
-      nop.i              0
-}
-{ .mib
-      adds               rTmpPtr3 = 16, rTmpPtr2
-      // set p10 = 1 if |x| = 1.0
-      cmp.eq             p10, p0 = rAbsXBits, rOne
-      // branch on special path for |x| = 1.0
-(p10) br.cond.spnt       asin_abs_1
-}
-;;
-{ .mfi
-      ldfe               fA3 = [rTmpPtr2], 48 // A3 or B1
-      nop.f              0
-      adds               rTmpPtr1 = 64, rTmpPtr3
-}
-{ .mib
-      ldfpd              fA9, fA11 = [rTmpPtr3], 16 // A9, A11 or B10, B11
-      // set p11 = 1 if |x| > 1.0
-      cmp.gt             p11, p0 = rAbsXBits, rOne
-      // branch on special path for |x| > 1.0
-(p11) br.cond.spnt       asin_abs_gt_1
-}
-;;
-{ .mfi
-      ldfpd              fA17, fA19 = [rTmpPtr2], 16 // A17, A19 or B6, B7
-      // initial approximation of 1 / sqrt(1 - x)
-      frsqrta.s1         f1mXRcp, p0 = f1mX
-      nop.i              0
-}
-{ .mfi
-      ldfpd              fA13, fA15 = [rTmpPtr3] // A13, A15 or B4, B5
-      fma.s1             fXCube = fXSqr, f8, f0 // x^3
-      nop.i              0
-}
-;;
-{ .mfi
-      ldfe               fA5 = [rTmpPtr2], 48 // A5 or B2
-      // initial approximation of 1 / sqrt(1 + x)
-      frsqrta.s1         f1pXRcp, p0 = f1pX
-      nop.i              0
-}
-{ .mfi
-      ldfpd              fA21, fA23 = [rTmpPtr1], 16 // A21, A23 or B3, B8
-      fma.s1             fXQuadr = fXSqr, fXSqr, f0 // x^4
-      nop.i              0
-}
-;;
-{ .mfi
-      ldfe               fA7 = [rTmpPtr1] // A7 or Pi/2
-      fma.s1             fRSqr = fR, fR, f0 // R^2
-      nop.i              0
-}
-{ .mfb
-      ldfpd              fA25, fA27 = [rTmpPtr2] // A25, A27 or B9, B12
-      nop.f              0
-(p6)  br.cond.spnt       asin_base_range;
-}
-;;
-
-{ .mfi
-      nop.m              0
-(p9)  fma.s1             fH = fHalf, f1mXRcp, f0 // H0 for x > 0
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-(p9)  fma.s1             fS = f1mX, f1mXRcp, f0  // S0 for x > 0
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-(p8)  fma.s1             fH = fHalf, f1pXRcp, f0 // H0 for x < 0
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-(p8)  fma.s1             fS = f1pX, f1pXRcp, f0  // S0 for x > 0
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fRQuadr = fRSqr, fRSqr, f0 // R^4
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fB11 = fB11, fR, fB10
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fma.s1             fB1 = fB1, fR, fB0
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fB5 = fB5, fR, fB4
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fma.s1             fB7 = fB7, fR, fB6
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fB3 = fB3, fR, fB2
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fnma.s1            fD = fH, fS, fHalf // d0 = 1/2 - H0*S0
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fR8 = fRQuadr, fRQuadr, f0 // R^4
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fma.s1             fB9 = fB9, fR, fB8
-      nop.i              0
-}
-;;
-{.mfi
-      nop.m              0
-      fma.s1             fB12 = fB12, fRSqr, fB11
-      nop.i              0
-}
-{.mfi
-      nop.m              0
-      fma.s1             fB7 = fB7, fRSqr, fB5
-      nop.i              0
-}
-;;
-{.mfi
-      nop.m              0
-      fma.s1             fB3 = fB3, fRSqr, fB1
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fH = fH, fD, fH // H1 = H0 + H0*d0
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fma.s1             fS = fS, fD, fS // S1 = S0 + S0*d0
-      nop.i              0
-}
-;;
-{.mfi
-      nop.m              0
-      fma.s1             fPiBy2 = fPiBy2, fSignX, f0 // signum(x)*Pi/2
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fB12 = fB12, fRSqr, fB9
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fma.s1             fB7 = fB7, fRQuadr, fB3
-      nop.i              0
-}
-;;
-{.mfi
-      nop.m              0
-      fnma.s1            fD = fH, fS, fHalf // d1 = 1/2 - H1*S1
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fnma.s1            fSignedS = fSignX, fS, f0 // -signum(x)*S1
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fCloseTo1Pol = fB12, fR8, fB7
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fH = fH, fD, fH // H2 = H1 + H1*d1
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fma.s1             fS = fS, fD, fS // S2 = S1 + S1*d1
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      // -signum(x)* S2 = -signum(x)*(S1 + S1*d1)
-      fma.s1             fSignedS = fSignedS, fD, fSignedS
-      nop.i              0
-}
-;;
-{.mfi
-      nop.m              0
-      fnma.s1            fD = fH, fS, fHalf // d2 = 1/2 - H2*S2
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      // signum(x)*(Pi/2 - PolB*S2)
-      fma.s1             fPiBy2 = fSignedS, fCloseTo1Pol, fPiBy2
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      // -signum(x)*PolB * S2
-      fma.s1             fCloseTo1Pol = fSignedS, fCloseTo1Pol, f0
-      nop.i              0
-}
-;;
-{ .mfb
-      nop.m              0
-      // final result for 0.625 <= |x| < 1
-      fma.d.s0           f8 = fCloseTo1Pol, fD, fPiBy2
-      // exit here for  0.625 <= |x| < 1
-      br.ret.sptk        b0
-}
-;;
-
-
-// here if |x| < 0.625
-.align 32
-asin_base_range:
-{ .mfi
-      nop.m              0
-      fma.s1             fA33 = fA33, fXSqr, fA31
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fma.s1             fA15 = fA15, fXSqr, fA13
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fA29 = fA29, fXSqr, fA27
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fma.s1             fA25 = fA25, fXSqr, fA23
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fA21 = fA21, fXSqr, fA19
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fma.s1             fA9 = fA9, fXSqr, fA7
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fA5 = fA5, fXSqr, fA3
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fA35 = fA35, fXQuadr, fA33
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fma.s1             fA17 = fA17, fXQuadr, fA15
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fX8 = fXQuadr, fXQuadr, f0 // x^8
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fma.s1             fA25 = fA25, fXQuadr, fA21
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fA9 = fA9, fXQuadr, fA5
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fA35 = fA35, fXQuadr, fA29
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fma.s1             fA17 = fA17, fXSqr, fA11
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fX16 = fX8, fX8, f0 // x^16
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fA35 = fA35, fX8, fA25
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fma.s1             fA17 = fA17, fX8, fA9
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      fma.s1             fBaseP = fA35, fX16, fA17
-      nop.i              0
-}
-;;
-{ .mfb
-      nop.m              0
-      // final result for |x| < 0.625
-      fma.d.s0           f8 = fBaseP, fXCube, f8
-      // exit here for |x| < 0.625 path
-      br.ret.sptk        b0
-}
-;;
-
-// here if |x| = 1
-// asin(x) = sign(x) * Pi/2
-.align 32
-asin_abs_1:
-{ .mfi
-      ldfe               fPiBy2 = [rPiBy2Ptr] // Pi/2
-      nop.f              0
-      nop.i              0
-}
-;;
-{.mfb
-      nop.m              0
-      // result for |x| = 1.0
-      fma.d.s0           f8 = fPiBy2, fSignX, f0
-      // exit here for |x| = 1.0
-      br.ret.sptk        b0
-}
-;;
-
-// here if x is a NaN, denormal, or zero
-.align 32
-asin_special:
-{ .mfi
-      nop.m              0
-      // set p12 = 1 if x is a NaN
-      fclass.m           p12, p0 = f8, 0xc3
-      nop.i              0
-}
-{ .mlx
-      nop.m              0
-      // smallest positive DP normalized number
-      movl               rDenoBound = 0x0010000000000000
-}
-;;
-{ .mfi
-      nop.m              0
-      // set p13 = 1 if x = 0.0
-      fclass.m           p13, p0 = f8, 0x07
-      nop.i              0
-}
-{ .mfi
-      nop.m              0
-      fnorm.s1           fNormX = f8
-      nop.i              0
-}
-;;
-{ .mfb
-      // load smallest normal to FP reg
-      setf.d             fDenoBound = rDenoBound
-      // answer if x is a NaN
-(p12) fma.d.s0           f8 = f8,f1,f0
-      // exit here if x is a NaN
-(p12) br.ret.spnt        b0
-}
-;;
-{ .mfb
-      nop.m              0
-      nop.f              0
-      // exit here if x = 0.0
-(p13) br.ret.spnt        b0
-}
-;;
-// if we still here then x is denormal or unnormal
-{ .mfi
-      nop.m              0
-      // absolute value of normalized x
-      fmerge.s           fNormX = f1, fNormX
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-      // set p14 = 1 if normalized x is greater than or
-      // equal to the smallest denormalized value
-      // So, if p14 is set to 1 it means that we deal with
-      // unnormal rather than with "true" denormal
-      fcmp.ge.s1         p14, p0 = fNormX, fDenoBound
-      nop.i              0
-}
-;;
-{ .mfi
-      nop.m              0
-(p14) fcmp.eq.s0         p6, p0 = f8, f0      // Set D flag if x unnormal
-      nop.i              0
-}
-{ .mfb
-      nop.m              0
-      // normalize unnormal input
-(p14) fnorm.s1           f8 = f8
-      // return to the main path
-(p14) br.cond.sptk       asin_unnormal_back
-}
-;;
-// if we still here it means that input is "true" denormal
-{ .mfb
-      nop.m              0
-      // final result if x is denormal
-      fma.d.s0           f8 = f8, fXSqr, f8
-      // exit here if x is denormal
-      br.ret.sptk        b0
-}
-;;
-
-// here if |x| > 1.0
-// error handler should be called
-.align 32
-asin_abs_gt_1:
-{ .mfi
-      alloc              r32 = ar.pfs, 0, 3, 4, 0 // get some registers
-      fmerge.s           FR_X = f8,f8
-      nop.i              0
-}
-{ .mfb
-      mov                GR_Parameter_TAG = 61 // error code
-      frcpa.s0           FR_RESULT, p0 = f0,f0
-      // call error handler routine
-      br.cond.sptk       __libm_error_region
-}
-;;
-GLOBAL_LIBM_END(asin)
-libm_alias_double_other (asin, asin)
-
-
-
-LOCAL_LIBM_ENTRY(__libm_error_region)
-.prologue
-{ .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
-        nop.f 0
-.save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
-}
-{ .mfi
-.fframe 64
-        add sp=-64,sp                           // Create new stack
-        nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
-};;
-{ .mmi
-        stfd [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
-        add GR_Parameter_X = 16,sp              // Parameter 1 address
-.save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                       // Save b0
-};;
-.body
-{ .mib
-        stfd [GR_Parameter_X] = FR_X                  // STORE Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
-        nop.b 0
-}
-{ .mib
-        stfd [GR_Parameter_Y] = FR_RESULT             // STORE Parameter 3 on stack
-        add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#         // Call error handling function
-};;
-{ .mmi
-        add   GR_Parameter_RESULT = 48,sp
-        nop.m 0
-        nop.i 0
-};;
-{ .mmi
-        ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
-.restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
-};;
-{ .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
-};;
-
-LOCAL_LIBM_END(__libm_error_region)
-.type   __libm_error_support#,@function
-.global __libm_error_support#