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-.file "hypotf.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
-// 06/26/00 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: hypotf(x,y) = |(x^2 + y^2) = for single precision values
-// x and y
-// Also provides cabsf functionality.
-//
-//*********************************************************************
-//
-// Resources Used:
-//
-// Floating-Point Registers: f8 (Input and Return Value)
-// f9 (Input)
-// f6 -f15
-//
-// 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.
-// hypotf(Infinity and anything) = +Infinity
-// hypotf(QNaN and anything) = QNaN
-// hypotf(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 single precision
-//
-//*********************************************************************
-
-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 = f14
-FR_Y = f15
-FR_RESULT = f8
-
-.section .text
-
-LOCAL_LIBM_ENTRY(cabsf)
-LOCAL_LIBM_END(cabsf)
-
-GLOBAL_IEEE754_ENTRY(hypotf)
-{.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 f14
- // set Denormal, if necessary
- // (p8)
- fma.s.s0 f14=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 0
-// For x=inf, multiply y by 1 to raise invalid on y an SNaN
-// (p7) fma.s0 f9=f9,f1,f0
- // copy f9 to f15; set Denormal, if necessary
- fma.s.s0 f15=f9,f1,f0
- nop.i 0;;
-}
-{.mfi
- nop.m 0
- // is y Zero ?
- (p6) fclass.m p6,p0=f9,0x7
- nop.i 0;;
-}
-{.mfi
- nop.m 0
- // is x Zero ?
- (p9) fclass.m p9,p0=f8,0x7
- nop.i 0;;
-}
-
-{.mfi
- // f7=0.5
- setf.exp f7=r2
- // a=x2+y2
- fma.s1 f12=f10,f1,f11
- nop.i 0;;
-}
-
-{.mfi
- nop.m 0
- // x not NaN ?
- (p6) fclass.m p7,p0=f8,0x3f
- nop.i 0
-}
-{.mfi
- // 2*emax-2
- mov r2=0x100fb
- // f6=2
- fma.s1 f6=f1,f1,f1
- nop.i 0;;
-}
-
-{.mfi
- nop.m 0
- // y not NaN ?
- (p9) fclass.m p8,p0=f9,0x3f
- nop.i 0;;
-}
-
-.pred.rel "mutex",p7,p8
-{.mfb
- nop.m 0
- // if f8=Infinity or f9=Zero, return |f8|
- (p7) fmerge.s f8=f0,f14
- (p7) br.ret.spnt b0
-}
-{.mfb
- nop.m 0
- // if f9=Infinity or f8=Zero, return |f9|
- (p8) fmerge.s f8=f0,f15
- (p8) br.ret.spnt b0;;
-}
-
-{ .mfi
- nop.m 0
-// Identify Natvals, Infs, NaNs, and Zeros
-// and return result
- fclass.m.unc p7, p0 = f12, 0x1E7
- nop.i 0
-}
-{.mfi
- nop.m 0
- // z0=frsqrta(a)
- frsqrta.s1 f8,p6=f12
- 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 f12=f12,f8,f0
- nop.i 0
-}
-{.mfi
- nop.m 0
- // H0=0.5*z0
- (p6) fma.s1 f10=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=f12,f10,f7
- nop.i 0;;
-}
-
-{.mfi
- nop.m 0
- // P01=d+1
- (p6) fma.s1 f10=f1,f7,f1
- 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 f7=f7,f7,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=P01+d2*P23
- (p6) fma.s1 f10=f7,f11,f10
- nop.i 0;;
-}
-
-{.mfb
- nop.m 0
- // S=P*S0
- fma.s.s0 f8=f10,f12,f0
- // 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=0x1007f
- // S=P*S0
- (p8) fma.s.s2 f12=f10,f12,f0
- 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 = 47
- // No overflow
-(p9) br.ret.sptk b0;;
-}
-GLOBAL_IEEE754_END(hypotf)
-
-LOCAL_LIBM_ENTRY(__libm_error_region)
-.prologue
-{ .mii
- add GR_Parameter_Y=-32,sp // Parameter 2 value
- mov GR_Parameter_TAG = 47
-.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] = 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
- stfs [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
- stfs [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
- 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#
-
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