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+.file "asinf.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// 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
+// 06/28/00 Improved speed
+// 06/31/00 Changed register allocation because of some duplicate macros
+//          moved nan exit bundle up to gain a cycle.
+// 08/08/00 Improved speed by avoiding SIR flush.
+// 08/15/00 Bundle added after call to __libm_error_support to properly
+//          set [the previously overwritten] GR_Parameter_RESULT.
+// 08/17/00 Changed predicate register macro-usage to direct predicate
+//          names due to an assembler bug.
+// 10/17/00 Improved speed of x=0 and x=1 paths, set D flag if x denormal.
+// 03/13/01 Corrected sign of imm1 value in dep instruction.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
+
+
+// Description
+//=========================================
+// The asinf function computes the arc sine of x in the range [-pi,+pi].
+// A doman error occurs for arguments not in the range [-1,+1].
+// asinf(+-0) returns +-0
+// asinf(x) returns a Nan and raises the invalid exception for |x| >1
+
+// The acosf function returns the arc cosine in the range [0, +pi] radians.
+// A doman error occurs for arguments not in the range [-1,+1].
+// acosf(1) returns +0
+// acosf(x) returns a Nan and raises the invalid exception for |x| >1
+
+
+// |x| <= sqrt(2)/2. get Ax and Bx
+
+// poly_p1 = x p1
+// poly_p3 = x2 p4 + p3
+// poly_p1 = x2 (poly_p1) + x  = x2(x p1) + x
+// poly_p2 = x2( poly_p3) + p2 = x2(x2 p4 + p3) + p2
+
+// poly_Ax = x5(x2( poly_p3) + p2) + x2(x p1) + x
+//         = x5(x2(x2 p4 + p3) + p2) + x2(x p1) + x
+
+// poly_p7 = x2 p8 + p7
+// poly_p5 = x2 p6 + p5
+
+// poly_p7 = x4 p9 + (poly_p7)
+// poly_p7 = x4 p9 + (x2 p8 + p7)
+// poly_Bx = x4 (x4 p9 + (x2 p8 + p7)) + x2 p6 + p5
+
+// answer1 = x11(x4 (x4 p9 + (x2 p8 + p7)) + x2 p6 + p5) + x5(x2(x2 p4 + p3) + p2) + x2(x p1) + x
+//         = x19 p9 + x17 p8 + x15 p7 x13 p6 + x11 p5 + x9 p4 + x7 p3 + x5 p2 + x3 p1 + x
+
+
+
+// |x| >  sqrt(2)/2
+
+// Get z = sqrt(1-x2)
+
+// Get polynomial in t = 1-x2
+
+// t2      = t t
+// t4      = t2 t2
+
+// poly_p4 = t p5 + p4
+// poly_p1 = t p1 + 1
+
+// poly_p6 = t p7 + p6
+// poly_p2 = t p3 + p2
+
+// poly_p8 = t p9 + p8
+
+// poly_p4 = t2 poly_p6 + poly_p4
+//         = t2 (t p7 + p6) + (t p5 + p4)
+
+// poly_p2 = t2 poly_p2 + poly_p1
+//         = t2 (t p3 + p2) + (t p1 + 1)
+
+// poly_p4 = t4 poly_p8 + poly_p4
+//         = t4 (t p9 + p8) + (t2 (t p7 + p6) + (t p5 + p4))
+
+// P(t)    = poly_p2 + t4 poly_p8
+//         = t2 (t p3 + p2) + (t p1 + 1) + t4 (t4 (t p9 + p8) + (t2 (t p7 + p6) + (t p5 + p4)))
+//         = t3 p3 + t2 p2 + t p1 + 1 + t9 p9 + t8 p8 + t7 p7 + t6 p6 + t5 p5 + t4 p4
+
+
+//  answer2 = - sign(x) z P(t) + (sign(x) pi/2)
+//
+
+
+// Assembly macros
+//=========================================
+
+// predicate registers
+//asinf_pred_LEsqrt2by2            = p7
+//asinf_pred_GTsqrt2by2            = p8
+
+// integer registers
+ASINF_Addr1                      = r33
+ASINF_Addr2                      = r34
+ASINF_GR_1by2                    = r35
+
+ASINF_GR_3by2                    = r36
+ASINF_GR_5by2                    = r37
+
+GR_SAVE_B0                    = r38
+GR_SAVE_PFS                   = r39
+GR_SAVE_GP                    = r40
+
+GR_Parameter_X                = r41
+GR_Parameter_Y                = r42
+GR_Parameter_RESULT           = r43
+GR_Parameter_TAG              = r44
+
+// floating point registers
+
+asinf_y                          = f32
+asinf_abs_x                      = f33
+asinf_x2                         = f34
+asinf_sgn_x                      = f35
+
+asinf_1by2                       = f36
+asinf_3by2                       = f37
+asinf_5by2                       = f38
+asinf_coeff_P3                   = f39
+asinf_coeff_P8                   = f40
+
+asinf_coeff_P1                   = f41
+asinf_coeff_P4                   = f42
+asinf_coeff_P5                   = f43
+asinf_coeff_P2                   = f44
+asinf_coeff_P7                   = f45
+
+asinf_coeff_P6                   = f46
+asinf_coeff_P9                   = f47
+asinf_x2                         = f48
+asinf_x3                         = f49
+asinf_x4                         = f50
+
+asinf_x8                         = f51
+asinf_x5                         = f52
+asinf_const_piby2                = f53
+asinf_const_sqrt2by2             = f54
+asinf_x11                        = f55
+
+asinf_poly_p1                    = f56
+asinf_poly_p3                    = f57
+asinf_sinf1                      = f58
+asinf_poly_p2                    = f59
+asinf_poly_Ax                    = f60
+
+asinf_poly_p7                    = f61
+asinf_poly_p5                    = f62
+asinf_sgnx_t4                    = f63
+asinf_poly_Bx                    = f64
+asinf_t                          = f65
+
+asinf_yby2                       = f66
+asinf_B                          = f67
+asinf_B2                         = f68
+asinf_Az                         = f69
+asinf_dz                         = f70
+
+asinf_Sz                         = f71
+asinf_d2z                        = f72
+asinf_Fz                         = f73
+asinf_z                          = f74
+asinf_sgnx_z                     = f75
+
+asinf_t2                         = f76
+asinf_2poly_p4                   = f77
+asinf_2poly_p6                   = f78
+asinf_2poly_p1                   = f79
+asinf_2poly_p2                   = f80
+
+asinf_2poly_p8                   = f81
+asinf_t4                         = f82
+asinf_Pt                         = f83
+asinf_sgnx_2poly_p2              = f84
+asinf_sgn_x_piby2                = f85
+
+asinf_poly_p7a                   = f86
+asinf_2poly_p4a                  = f87
+asinf_2poly_p4b                  = f88
+asinf_2poly_p2a                  = f89
+asinf_poly_p1a                   = f90
+
+
+
+
+
+// Data tables
+//==============================================================
+
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(asinf_coeff_1_table)
+data8 0x3FC5555607DCF816 // P1
+data8 0x3F9CF81AD9BAB2C6 // P4
+data8 0x3FC59E0975074DF3 // P7
+data8 0xBFA6F4CC2780AA1D // P6
+data8 0x3FC2DD45292E93CB // P9
+data8 0x3fe6a09e667f3bcd // sqrt(2)/2
+LOCAL_OBJECT_END(asinf_coeff_1_table)
+
+LOCAL_OBJECT_START(asinf_coeff_2_table)
+data8 0x3FA6F108E31EFBA6 // P3
+data8 0xBFCA31BF175D82A0 // P8
+data8 0x3FA30C0337F6418B // P5
+data8 0x3FB332C9266CB1F9 // P2
+data8 0x3ff921fb54442d18 // pi_by_2
+LOCAL_OBJECT_END(asinf_coeff_2_table)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(asinf)
+
+// Load the addresses of the two tables.
+// Then, load the coefficients and other constants.
+
+{     .mfi
+     alloc      r32            = ar.pfs,1,8,4,0
+     fnma.s1   asinf_t        =    f8,f8,f1
+     dep.z ASINF_GR_1by2 =    0x3f,24,8    // 0x3f000000
+}
+{     .mfi
+     addl ASINF_Addr1    =    @ltoff(asinf_coeff_1_table),gp
+     fma.s1    asinf_x2       =    f8,f8,f0
+     addl      ASINF_Addr2    =    @ltoff(asinf_coeff_2_table),gp ;;
+}
+
+
+{     .mfi
+     ld8       ASINF_Addr1    =    [ASINF_Addr1]
+     fmerge.s  asinf_abs_x    =    f1,f8
+     dep ASINF_GR_3by2 =    -1,r0,22,8     // 0x3fc00000
+}
+{     .mlx
+     nop.m                      999
+     movl      ASINF_GR_5by2  =    0x40200000;;
+}
+
+
+
+{     .mfi
+     setf.s    asinf_1by2     =    ASINF_GR_1by2
+     fmerge.s  asinf_sgn_x    =    f8,f1
+     nop.i                      999
+}
+{     .mfi
+     ld8       ASINF_Addr2    =    [ASINF_Addr2]
+     nop.f 0
+     nop.i                      999;;
+}
+
+
+{     .mfi
+     setf.s    asinf_5by2     =    ASINF_GR_5by2
+     fcmp.lt.s1 p11,p12 = f8,f0
+     nop.i                      999;;
+}
+
+{ .mmf
+     ldfpd     asinf_coeff_P1,asinf_coeff_P4 =    [ASINF_Addr1],16
+     setf.s    asinf_3by2     =    ASINF_GR_3by2
+     fclass.m.unc p8,p0      = f8, 0xc3 ;;	//@qnan | @snan
+}
+
+
+{     .mfi
+     ldfpd     asinf_coeff_P7,asinf_coeff_P6 =    [ASINF_Addr1],16
+     fma.s1    asinf_t2                      =    asinf_t,asinf_t,f0
+     nop.i                                     999
+}
+{     .mfi
+     ldfpd     asinf_coeff_P3,asinf_coeff_P8 =    [ASINF_Addr2],16
+     fma.s1    asinf_x4                      =    asinf_x2,asinf_x2,f0
+     nop.i                                     999;;
+}
+
+
+{     .mfi
+     ldfpd     asinf_coeff_P9,asinf_const_sqrt2by2     =    [ASINF_Addr1]
+     fclass.m.unc p10,p0      = f8, 0x07	//@zero
+     nop.i                                     999
+}
+{     .mfi
+     ldfpd     asinf_coeff_P5,asinf_coeff_P2 =    [ASINF_Addr2],16
+     fma.s1    asinf_x3  =    f8,asinf_x2,f0
+     nop.i                                     999;;
+}
+
+
+{     .mfi
+     ldfd      asinf_const_piby2   =    [ASINF_Addr2]
+     frsqrta.s1     asinf_B,p0                   =    asinf_t
+     nop.i                                               999
+}
+{     .mfb
+     nop.m                                               999
+(p8) fma.s.s0 f8                = f8,f1,f0
+(p8) br.ret.spnt   b0 ;;  // Exit if x=nan
+}
+
+
+{     .mfb
+     nop.m                 999
+     fcmp.eq.s1 p6,p0 = asinf_abs_x,f1
+(p10) br.ret.spnt  b0 ;;     // Exit if x=0
+}
+
+{     .mfi
+     nop.m                 999
+     fcmp.gt.s1 p9,p0 = asinf_abs_x,f1
+     nop.i                 999;;
+}
+
+{     .mfi
+     nop.m                 999
+     fma.s1    asinf_x8  =    asinf_x4,asinf_x4,f0
+     nop.i                 999
+}
+{     .mfb
+     nop.m                      999
+     fma.s1    asinf_t4  =    asinf_t2,asinf_t2,f0
+(p6) br.cond.spnt  ASINF_ABS_ONE ;;     // Branch if |x|=1
+}
+
+{     .mfi
+     nop.m                 999
+     fma.s1    asinf_x5  =    asinf_x2,asinf_x3,f0
+     nop.i                 999
+}
+{     .mfb
+(p9) mov            GR_Parameter_TAG = 62
+     fma.s1    asinf_yby2     =    asinf_t,asinf_1by2,f0
+(p9) br.cond.spnt  __libm_error_region ;;    // Branch if |x|>1
+}
+
+
+{     .mfi
+     nop.m                 999
+     fma.s1    asinf_Az  =    asinf_t,asinf_B,f0
+     nop.i                 999
+}
+{     .mfi
+     nop.m                 999
+     fma.s1    asinf_B2  =    asinf_B,asinf_B,f0
+     nop.i                 999;;
+}
+
+{     .mfi
+     nop.m                      999
+     fma.s1    asinf_poly_p1  =    f8,asinf_coeff_P1,f0
+     nop.i                      999
+}
+{     .mfi
+     nop.m                      999
+     fma.s1    asinf_2poly_p1 =    asinf_coeff_P1,asinf_t,f1
+     nop.i                      999;;
+}
+
+{     .mfi
+     nop.m                      999
+     fma.s1    asinf_poly_p3  =    asinf_coeff_P4,asinf_x2,asinf_coeff_P3
+     nop.i                      999
+}
+{     .mfi
+     nop.m                      999
+     fma.s1    asinf_2poly_p6 =    asinf_coeff_P7,asinf_t,asinf_coeff_P6
+     nop.i                      999;;
+}
+
+{     .mfi
+     nop.m                      999
+     fma.s1    asinf_poly_p7  =    asinf_x2,asinf_coeff_P8,asinf_coeff_P7
+     nop.i                      999
+}
+{     .mfi
+     nop.m                      999
+     fma.s1    asinf_2poly_p2 =    asinf_coeff_P3,asinf_t,asinf_coeff_P2
+     nop.i                      999;;
+}
+
+
+{     .mfi
+     nop.m                      999
+     fma.s1    asinf_poly_p5  =    asinf_x2,asinf_coeff_P6,asinf_coeff_P5
+     nop.i                      999
+}
+{     .mfi
+     nop.m                      999
+     fma.s1    asinf_2poly_p4 =    asinf_coeff_P5,asinf_t,asinf_coeff_P4
+     nop.i                      999;;
+}
+
+
+{     .mfi
+     nop.m                 999
+     fma.d.s1    asinf_x11 =    asinf_x8,asinf_x3,f0
+     nop.i                 999
+}
+{     .mfi
+     nop.m                 999
+     fnma.s1   asinf_dz  =    asinf_B2,asinf_yby2,asinf_1by2
+     nop.i                 999;;
+}
+
+
+{     .mfi
+     nop.m                      999
+     fma.s1    asinf_poly_p1a =    asinf_x2,asinf_poly_p1,f8
+     nop.i                      999
+}
+{     .mfi
+     nop.m                      999
+     fma.s1    asinf_2poly_p8 =    asinf_coeff_P9,asinf_t,asinf_coeff_P8
+     nop.i                      999;;
+}
+
+
+// Get the absolute value of x and determine the region in which x lies
+
+{     .mfi
+     nop.m                      999
+     fcmp.le.s1     p7,p8 = asinf_abs_x,asinf_const_sqrt2by2
+     nop.i                      999
+}
+{     .mfi
+     nop.m                      999
+     fma.s1    asinf_poly_p2  =    asinf_x2,asinf_poly_p3,asinf_coeff_P2
+     nop.i                      999;;
+}
+
+
+{     .mfi
+     nop.m                      999
+     fma.s1    asinf_poly_p7a =    asinf_x4,asinf_coeff_P9,asinf_poly_p7
+     nop.i                      999
+}
+{     .mfi
+     nop.m                      999
+     fma.s1    asinf_2poly_p2a =    asinf_2poly_p2,asinf_t2,asinf_2poly_p1
+     nop.i                      999;;
+}
+
+
+{     .mfi
+     nop.m                                                         999
+(p8) fma.s1    asinf_sgnx_t4  =    asinf_sgn_x,asinf_t4,f0
+     nop.i                                                         999
+}
+{     .mfi
+     nop.m                      999
+(p8) fma.s1    asinf_2poly_p4a =    asinf_2poly_p6,asinf_t2,asinf_2poly_p4
+     nop.i                      999;;
+}
+
+
+{     .mfi
+     nop.m                 999
+(p8) fma.s1    asinf_Sz  =    asinf_5by2,asinf_dz,asinf_3by2
+     nop.i                 999
+}
+{     .mfi
+     nop.m                 999
+(p8) fma.s1    asinf_d2z =    asinf_dz,asinf_dz,f0
+     nop.i                 999;;
+}
+
+
+{     .mfi
+     nop.m                           999
+(p8) fma.s1   asinf_sgn_x_piby2 =    asinf_sgn_x,asinf_const_piby2,f0
+     nop.i                           999
+}
+{     .mfi
+     nop.m                      999
+(p7) fma.d.s1    asinf_poly_Ax  =    asinf_x5,asinf_poly_p2,asinf_poly_p1a
+     nop.i                 999;;
+}
+
+{     .mfi
+     nop.m                      999
+(p7) fma.d.s1    asinf_poly_Bx  =    asinf_x4,asinf_poly_p7a,asinf_poly_p5
+     nop.i                      999
+}
+{     .mfi
+     nop.m                           999
+(p8) fma.s1    asinf_sgnx_2poly_p2 =    asinf_sgn_x,asinf_2poly_p2a,f0
+     nop.i                           999;;
+}
+
+{     .mfi
+     nop.m                      999
+     fcmp.eq.s0 p6,p0 = f8,f0      // Only purpose is to set D if x denormal
+     nop.i                      999
+}
+{     .mfi
+     nop.m                      999
+(p8) fma.s1    asinf_2poly_p4b =    asinf_2poly_p8,asinf_t4,asinf_2poly_p4a
+     nop.i                      999;;
+}
+
+
+{     .mfi
+     nop.m                      999
+(p8) fma.s1    asinf_Fz  =    asinf_d2z,asinf_Sz,asinf_dz
+     nop.i                      999;;
+}
+
+
+{     .mfi
+     nop.m                 999
+(p8) fma.d.s1  asinf_Pt  =    asinf_2poly_p4b,asinf_sgnx_t4,asinf_sgnx_2poly_p2
+     nop.i                 999;;
+}
+
+{     .mfi
+     nop.m                 999
+(p8) fma.d.s1  asinf_z   =    asinf_Az,asinf_Fz,asinf_Az
+     nop.i                 999;;
+}
+
+.pred.rel "mutex",p8,p7    //asinf_pred_GTsqrt2by2,asinf_pred_LEsqrt2by2
+{     .mfi
+                         nop.m            999
+(p8)  fnma.s.s0     f8   =    asinf_z,asinf_Pt,asinf_sgn_x_piby2
+                         nop.i            999
+}
+
+{     .mfb
+                         nop.m            999
+(p7)  fma.s.s0    f8    =    asinf_x11,asinf_poly_Bx,asinf_poly_Ax
+                         br.ret.sptk b0 ;;
+}
+
+ASINF_ABS_ONE:
+// Here for short exit if |x|=1
+{     .mfb
+     nop.m                      999
+     fma.s.s0    f8 =    asinf_sgn_x,asinf_const_piby2,f0
+     br.ret.sptk b0
+}
+;;
+
+GLOBAL_LIBM_END(asinf)
+
+// Stack operations when calling error support.
+//       (1)               (2)
+//   sp   -> +          psp -> +
+//           |                 |
+//           |                 | <- GR_Y
+//           |                 |
+//           | <-GR_Y      Y2->|
+//           |                 |
+//           |                 | <- GR_X
+//           |                 |
+//  sp-64 -> +          sp ->  +
+//    save ar.pfs          save b0
+//    save gp
+
+
+// Stack operations when calling error support.
+//     (3) (call)              (4)
+//  psp -> +                   sp -> +
+//         |                         |
+//    R3 ->| <- GR_RESULT            | -> f8
+//         |                         |
+//    Y2 ->| <- GR_Y                 |
+//         |                         |
+//    X1 ->|                         |
+//         |                         |
+//  sp ->  +                         +
+//                              restore gp
+//                              restore ar.pfs
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+                nop.f 999
+.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
+        stfs [GR_Parameter_Y] = f1,16         // 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
+{ .mfi
+        nop.m 0
+        frcpa.s0 f9,p0 = f0,f0
+        nop.i 0
+};;
+
+{ .mib
+        stfs [GR_Parameter_X] = f8            // Store Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
+        nop.b 0                                 // Parameter 3 address
+}
+{ .mib
+        stfs [GR_Parameter_Y] = f9           // 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
+        ldfs  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#