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+.file "hypotl.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 hand-optimized
+// 04/04/00 Unwind support added
+// 06/20/00 new version
+// 08/15/00 Bundle added after call to __libm_error_support to properly
+//          set [the previously overwritten] GR_Parameter_RESULT.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+//*********************************************************************
+//                           ___________
+// Function:   hypotl(x,y) = |(x^2 + y^2) = for double extended values
+//             x and y
+//             Also provides cabsl functionality.
+//
+//*********************************************************************
+//
+// Resources Used:
+//
+//    Floating-Point Registers: f8  (Input and Return Value)
+//                              f9  (Input)
+//                              f6 -f15, f32-f34
+//
+//    General Purpose Registers:
+//      r2-r3   (Scratch)
+//      r32-r36 (Locals)
+//      r37-r40 (Used to pass arguments to error handling routine)
+//
+//    Predicate Registers:      p6 - p10
+//
+//*********************************************************************
+//
+// IEEE Special Conditions:
+//
+//    All faults and exceptions should be raised correctly.
+//    Overflow can occur.
+//    hypotl(Infinity and anything) = +Infinity
+//    hypotl(QNaN and anything) = QNaN
+//    hypotl(SNaN and anything ) = QNaN
+//
+//*********************************************************************
+//
+// Implementation:
+//  x2 = x * x   in double-extended
+//  y2 = y * y   in double-extended
+//  temp = x2 + y2   in double-extended
+//  sqrt(temp) rounded to double extended
+//
+//*********************************************************************
+
+GR_SAVE_PFS         = r33
+GR_SAVE_B0          = r34
+GR_SAVE_GP          = r35
+GR_Parameter_X      = r36
+GR_Parameter_Y      = r37
+GR_Parameter_RESULT = r38
+GR_Parameter_TAG    = r39
+
+FR_X                = f32
+FR_Y                = f33
+FR_RESULT           = f8
+
+.section .text
+
+LOCAL_LIBM_ENTRY(cabsl)
+LOCAL_LIBM_END(cabsl)
+
+GLOBAL_IEEE754_ENTRY(hypotl)
+{.mfi
+  alloc r32= ar.pfs,0,4,4,0
+  // Compute x*x
+  fma.s1 f10=f8,f8,f0
+  // r2=bias-1
+  mov r2=0xfffe
+}
+{.mfi
+  nop.m 0
+  // y*y
+  fma.s1 f11=f9,f9,f0
+  nop.i 0;;
+}
+
+{ .mfi
+     nop.m 0
+//   Check if x is an Inf - if so return Inf even
+//   if y is a NaN (C9X)
+     fclass.m.unc p7, p6 = f8, 0x023
+     nop.i 0
+}
+{.mfi
+	nop.m 0
+	// if possible overflow, copy f8 to f32
+	// set Denormal, if necessary
+	// (p8)
+	fma.s0 f32=f8,f1,f0
+    nop.i 0;;
+}
+{ .mfi
+     nop.m 0
+//   Check if y is an Inf - if so return Inf even
+//   if x is a NaN (C9X)
+     fclass.m.unc p8, p9 = f9, 0x023
+	 nop.i 0
+}
+{ .mfi
+     nop.m 999
+//   For x=inf, multiply y by 1 to raise invalid on y an SNaN
+//   (p7) fma.s0 f9=f9,f1,f0
+     // copy f9 to f33; set Denormal, if necessary
+	 fma.s0 f33=f9,f1,f0
+     nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // is y Zero ?
+  (p6) fclass.m p6,p0=f9,0x7
+  nop.i 0;;
+}
+
+{.mfi
+  // f7=0.5
+  setf.exp f7=r2
+  // a=x2+y2
+  fma.s1 f12=f10,f1,f11
+  nop.i 0
+}
+{.mfi
+  mov r2=0x408c  //0000
+  // dx=x*x-x2
+  fms.s1 f13=f8,f8,f10
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // is x Zero ?
+  (p9) fclass.m p9,p0=f8,0x7
+  shl r2=r2,16
+}
+{.mfi
+  nop.m 0
+  // dy=y*y-y2
+  fms.s1 f14=f9,f9,f11
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // x not NaN ?
+  (p6) fclass.m p7,p0=f8,0x3f
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // f6=2
+  fma.s1 f6=f1,f1,f1
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // f34=min(x2,y2)
+  famin.s1 f34=f10,f11
+  nop.i 0
+}
+{.mfb
+  nop.m 0
+  // f10=max(x2,y2)
+  famax.s1 f10=f11,f10
+  nop.b 0;; //
+}
+
+{.mfi
+  nop.m 0
+  // y not NaN ?
+  (p9) fclass.m p8,p0=f9,0x3f
+  nop.i 0;;
+}
+{.mfb
+  // f9=35/8
+  setf.s f9=r2
+  // if f8=Infinity or f9=Zero, return |f8|
+  (p7) fmerge.s f8=f0,f32
+  (p7) br.ret.spnt b0;;
+}
+
+
+{.mfi
+  nop.m 0
+  // z0=frsqrta(a)
+  frsqrta.s1 f8,p6=f12
+  nop.i 0;;
+}
+{ .mfi
+     nop.m 0
+//   Identify Natvals, Infs, NaNs, and Zeros
+//   and return result
+     fclass.m.unc p7, p0 = f12, 0x1E7
+     nop.i 0
+}
+{.mfi
+  // get exponent of x^2+y^2
+  getf.exp r3=f12
+  // dxy=dx+dy
+  fma.s1 f13=f13,f1,f14
+  nop.i 0;;
+}
+
+{.mfb
+  // 2*emax-2
+  mov r2=0x17ffb
+  // if f9=Infinity or f8=Zero, return |f9|
+  (p8) fmerge.s f8=f0,f33
+  (p8) br.ret.spnt b0
+}
+{.mfi
+  nop.m 0
+  // dd=a-max(x2,y2)
+  fnma.s1 f10=f10,f1,f12
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // S0=a*z0
+  (p6) fma.s1 f14=f12,f8,f0
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // H0=0.5*z0
+  (p6) fma.s1 f15=f8,f7,f0
+  nop.i 0;;
+}
+
+{.mfb
+  nop.m 0
+  // if special case, set f8
+  (p7) mov f8=f12
+  (p7) br.ret.spnt b0
+}
+{.mfi
+  nop.m 0
+  // da=min(x2,y2)-dd
+  fnma.s1 f10=f10,f1,f34
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // f6=5/2
+  fma.s1 f6=f7,f1,f6
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // f11=3/2
+  fma.s1 f11=f7,f1,f1
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // d=0.5-S0*H0
+  (p6) fnma.s1 f7=f14,f15,f7
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // P1=3/2*d+1
+  (p6) fma.s1 f11=f11,f7,f1
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // P2=35/8*d+5/2
+  (p6) fma.s1 f9=f9,f7,f6
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // d2=d*d
+  (p6) fma.s1 f34=f7,f7,f0
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // T0=d*S0
+  (p6) fma.s1 f6=f7,f14,f0
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // G0=d*H0
+  (p6) fma.s1 f7=f7,f15,f0
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // P=d2*P2+P1
+  (p6) fma.s1 f11=f34,f9,f11
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // S1=p*T0+S0
+  (p6) fma.s1 f14=f11,f6,f14
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // H1=p*G0+H0
+  (p6) fma.s1 f15=f11,f7,f15
+  nop.i 0;;
+}
+
+
+{.mfi
+  nop.m 0
+  // e1=a-S1*S1
+  (p6) fnma.s1 f7=f14,f14,f12
+  nop.i 0
+}
+{.mfi
+  // Is x^2 + y^2 well less than the overflow
+  // threshold?
+  (p6) cmp.lt.unc p7, p8 =  r3,r2
+  // c=dxy+da
+  (p6) fma.s1 f13=f13,f1,f10
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // e=e1+c
+  (p6) fma.s1 f13=f7,f1,f13
+  nop.i 0;;
+}
+
+{.mfb
+  nop.m 0
+  // S=e*H1+S1
+  fma.s0 f8=f13,f15,f14
+  // No overflow in this case
+  (p7) br.ret.sptk b0;;
+}
+
+{ .mfi
+     nop.m 0
+(p8) fsetc.s2 0x7F,0x42
+     // Possible overflow path, must detect by
+     // Setting widest range exponent with prevailing
+     // rounding mode.
+     nop.i 0 ;;
+}
+
+
+{ .mfi
+   // bias+0x4000 (bias+EMAX+1)
+   (p8) mov r2=0x13fff
+   // S=e*H1+S1
+   (p8) fma.s2 f12=f13,f15,f14
+   nop.i 0 ;;
+}
+{ .mfi
+(p8) setf.exp f11 = r2
+(p8) fsetc.s2 0x7F,0x40
+//   Restore Original Mode in S2
+     nop.i 0 ;;
+}
+{ .mfi
+     nop.m 0
+(p8) fcmp.lt.unc.s1 p9, p10 =  f12, f11
+     nop.i 0 ;;
+}
+{ .mib
+     nop.m 0
+     mov GR_Parameter_TAG = 45;
+	 // No overflow
+(p9) br.ret.sptk b0;;
+}
+GLOBAL_IEEE754_END(hypotl)
+
+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
+        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
+};;
+LOCAL_LIBM_END(__libm_error_region#)
+.type   __libm_error_support#,@function
+.global __libm_error_support#