.file "hypot.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// 04/17/03 Added missing mutex directive////*********************************************************************//                           ___________// Function:   hypot(x,y) = |(x^2 + y^2) = for double precision values//             x and y//             Also provides cabs functionality.////*********************************************************************//// Resources Used:////    Floating-Point Registers: f8  (Input and Return Value)//                              f9  (Input)//                              f6 -f15, f32-f34////    General Purpose Registers://      r2,r3,r29 (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.//    hypot(Infinity and anything) = +Infinity//    hypot(QNaN and anything) = QNaN//    hypot(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 ////*********************************************************************GR_SAVE_PFS         = r33GR_SAVE_B0          = r34GR_SAVE_GP          = r35GR_Parameter_X      = r36GR_Parameter_Y      = r37GR_Parameter_RESULT = r38GR_Parameter_TAG    = r39FR_X                = f32FR_Y                = f33FR_RESULT           = f8.section .textLOCAL_LIBM_ENTRY(cabs)LOCAL_LIBM_END(cabs)GLOBAL_IEEE754_ENTRY(hypot){.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  // 63/8  mov r3=0x40fc //0000  // y*y  fma.s1 f11=f9,f9,f0  // r29=429/16  mov r29=0x41d68;; //000}{ .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     shl r3=r3,16}{.mfi	nop.m 0  // if possible overflow, copy f8 to f32  // set Denormal, if necessary   // (p8)   fma.d.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     shl r29=r29,12}{ .mfb	 // f7=0.5	 setf.exp f7=r2//   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.d.s0 f33=f9,f1,f0     nop.b 0;;}{.mfb  // f13=63/8  setf.s f13=r3  // is y Zero ?  (p6) fclass.m p6,p0=f9,0x7  nop.b 0}{.mlx  nop.m 0  movl r2=0x408c0000;;}{.mfi  // f34=429/16  setf.s f34=r29  // is x Zero ?  (p9) fclass.m p9,p0=f8,0x7  // 231/16  mov r3=0x4167;; //0000}{.mfi  nop.m 0  // a=x2+y2  fma.s1 f12=f10,f1,f11  nop.i 0;;}{.mfi  nop.m 0  // y not NaN ?  (p9) fclass.m p8,p0=f9,0x3f  shl r3=r3,16}{.mfi  nop.m 0  // f6=2  fma.s1 f6=f1,f1,f1  nop.i 0;;}{.mfi  nop.m 0  // x not NaN ?  (p6) fclass.m p7,p0=f8,0x3f  nop.i 0;;}{.mfi  // f9=35/8  setf.s f9=r2  nop.f 0  // 2*emax-2  mov r2=0x107fb;;}.pred.rel "mutex",p7,p8{.mfb  nop.m 0  // if f8=Infinity or f9=Zero, return |f8|  (p7) fmerge.s f8=f0,f32  (p7) br.ret.spnt b0}{.mfb  nop.m 0  // if f9=Infinity or f8=Zero, return |f9|  (p8) fmerge.s f8=f0,f33  (p8) br.ret.spnt b0;;}{.mfi  // f10 =231/16  setf.s f10=r3  // 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;;} {.mfb  // get exponent of x^2+y^2  getf.exp r3=f12  // if special case, set f8  (p7) mov f8=f12  (p7) br.ret.spnt b0;;}{.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;;} {.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  // P67=231/16+429/16*d  (p6) fma.s1 f10=f34,f7,f10  nop.i 0}{.mfi  nop.m 0  // P45=63/8*d+35/8  (p6) fma.s1 f9=f13,f7,f9  nop.i 0;;}{.mfi  nop.m 0  // P23=5/2*d+3/2  (p6) fma.s1 f11=f6,f7,f11  nop.i 0}{.mfi  nop.m 0  // d2=d*d  (p6) fma.s1 f13=f7,f7,f0  nop.i 0;;}{.mfi  nop.m 0  // P47=d2*P67+P45  (p6) fma.s1 f10=f10,f13,f9  nop.i 0}{.mfi  nop.m 0  // P13=d*P23+1  (p6) fma.s1 f11=f11,f7,f1  nop.i 0;;}{.mfi  nop.m 0  // d3=d2*d  (p6) fma.s1 f13=f13,f7,f0  nop.i 0;;}{.mfi  nop.m 0  // T0=d*S0  (p6) fma.s1 f15=f7,f14,f0  nop.i 0}{.mfi  // Is x^2 + y^2 well less than the overflow   // threshold?  (p6) cmp.lt.unc p7, p8 =  r3,r2  // P=P13+d3*P47  (p6) fma.s1 f10=f13,f10,f11  nop.i 0;;}{.mfb  nop.m 0  // S=P*T0+S0  fma.d.s0 f8=f10,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+0x400 (bias+EMAX+1)   (p8) mov r2=0x103ff   // S=P*T0+S0   (p8) fma.d.s2 f12=f10,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 = 46	 // No overflow(p9) br.ret.sptk b0;; }GLOBAL_IEEE754_END(hypot)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         // 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        stfd [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        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 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#