.file "hypotf.s"
// Copyright (c) 2000 - 2003, Intel Corporation
// All rights reserved.
//
// Contributed 2000 by the Intel Numerics Group, Intel Corporation
//
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// 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
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// 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)
libm_alias_float_other (__hypot, hypot)
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#