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+.file "hypot.asm"
+
+// Copyright (c) 2000, 2001, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
+// Bob Norin, Shane Story, and Ping Tak Peter Tang of the
+// Computational Software Lab, Intel Corporation.
+//
+// WARRANTY DISCLAIMER
+//
+// 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://developer.intel.com/opensource.
+//
+// *********************************************************************
+//
+// History:
+// 2/02/00 hand-optimized
+// 4/04/00 Unwind support added
+// 6/20/00 new version
+// 8/15/00 Bundle added after call to __libm_error_support to properly
+// set [the previously overwritten] GR_Parameter_RESULT.
+//
+// *********************************************************************
+// ___________
+// 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
+//
+// *********************************************************************
+
+#include "libm_support.h"
+
+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
+#ifndef _LIBC
+.proc cabs#
+.global cabs#
+cabs:
+.endp cabs
+#endif
+.proc hypot#
+.global hypot#
+.align 64
+
+hypot:
+#ifdef _LIBC
+.global __hypot
+__hypot:
+.global __ieee754_hypot
+__ieee754_hypot:
+#endif
+{.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;;
+}
+
+{.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;;
+}
+.endp hypot
+ASM_SIZE_DIRECTIVE(hypot)
+
+.proc __libm_error_region
+__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
+};;
+.endp __libm_error_region
+ASM_SIZE_DIRECTIVE(__libm_error_region)
+.type __libm_error_support#,@function
+.global __libm_error_support#