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428 lines
9.1 KiB
428 lines
9.1 KiB
.file "hypot.asm"
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// Copyright (c) 2000, Intel Corporation
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// All rights reserved.
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//
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// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
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// Bob Norin, Shane Story, and Ping Tak Peter Tang of the
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// Computational Software Lab, Intel Corporation.
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//
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// WARRANTY DISCLAIMER
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//
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
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// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
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// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
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// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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//
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// Intel Corporation is the author of this code, and requests that all
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// problem reports or change requests be submitted to it directly at
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// http://developer.intel.com/opensource.
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//
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//*********************************************************************
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//
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// History:
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// 2/02/00 hand-optimized
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// 4/04/00 Unwind support added
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// 6/20/00 new version
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// 8/15/00 Bundle added after call to __libm_error_support to properly
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// set [the previously overwritten] GR_Parameter_RESULT.
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//
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//*********************************************************************
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// ___________
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// Function: hypot(x,y) = |(x^2 + y^2) = for double precision values
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// x and y
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// Also provides cabs functionality.
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//
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//*********************************************************************
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//
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// Resources Used:
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//
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// Floating-Point Registers: f8 (Input and Return Value)
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// f9 (Input)
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// f6 -f15, f32-f34
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//
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// General Purpose Registers:
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// r2,r3,r29 (Scratch)
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// r32-r36 (Locals)
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// r37-r40 (Used to pass arguments to error handling routine)
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//
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// Predicate Registers: p6 - p10
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//
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//*********************************************************************
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//
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// IEEE Special Conditions:
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//
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// All faults and exceptions should be raised correctly.
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// Overflow can occur.
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// hypot(Infinity and anything) = +Infinity
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// hypot(QNaN and anything) = QNaN
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// hypot(SNaN and anything ) = QNaN
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//
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//*********************************************************************
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//
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// Implementation:
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// x2 = x * x in double-extended
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// y2 = y * y in double-extended
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// temp = x2 + y2 in double-extended
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// sqrt(temp) rounded to double
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//
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//*********************************************************************
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GR_SAVE_PFS = r33
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GR_SAVE_B0 = r34
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GR_SAVE_GP = r35
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GR_Parameter_X = r36
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GR_Parameter_Y = r37
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GR_Parameter_RESULT = r38
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GR_Parameter_TAG = r39
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FR_X = f32
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FR_Y = f33
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FR_RESULT = f8
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.section .text
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.proc _cabs#
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.global _cabs#
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_cabs:
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.endp _cabs
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.proc _hypot#
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.global _hypot#
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.align 64
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_hypot:
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{.mfi
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alloc r32= ar.pfs,0,4,4,0
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// Compute x*x
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fma.s1 f10=f8,f8,f0
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// r2=bias-1
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mov r2=0xfffe
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}
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{.mfi
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// 63/8
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mov r3=0x40fc //0000
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// y*y
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fma.s1 f11=f9,f9,f0
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// r29=429/16
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mov r29=0x41d68;; //000
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}
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{ .mfi
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nop.m 0
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// Check if x is an Inf - if so return Inf even
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// if y is a NaN (C9X)
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fclass.m.unc p7, p6 = f8, 0x023
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shl r3=r3,16
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}
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{.mfi
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nop.m 0
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// if possible overflow, copy f8 to f32
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// set Denormal, if necessary
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// (p8)
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fma.d.s0 f32=f8,f1,f0
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nop.i 0;;
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}
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{ .mfi
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nop.m 0
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// Check if y is an Inf - if so return Inf even
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// if x is a NaN (C9X)
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fclass.m.unc p8, p9 = f9, 0x023
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shl r29=r29,12
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}
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{ .mfb
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// f7=0.5
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setf.exp f7=r2
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// For x=inf, multiply y by 1 to raise invalid on y an SNaN
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// (p7) fma.s0 f9=f9,f1,f0
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// copy f9 to f33; set Denormal, if necessary
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fma.d.s0 f33=f9,f1,f0
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nop.b 0;;
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}
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{.mfb
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// f13=63/8
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setf.s f13=r3
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// is y Zero ?
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(p6) fclass.m p6,p0=f9,0x7
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nop.b 0
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}
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{.mlx
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nop.m 0
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movl r2=0x408c0000;;
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}
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{.mfi
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// f34=429/16
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setf.s f34=r29
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// is x Zero ?
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(p9) fclass.m p9,p0=f8,0x7
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// 231/16
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mov r3=0x4167;; //0000
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}
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{.mfi
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nop.m 0
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// a=x2+y2
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fma.s1 f12=f10,f1,f11
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nop.i 0;;
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}
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{.mfi
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nop.m 0
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// y not NaN ?
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(p9) fclass.m p8,p0=f9,0x3f
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shl r3=r3,16
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}
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{.mfi
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nop.m 0
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// f6=2
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fma.s1 f6=f1,f1,f1
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nop.i 0;;
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}
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{.mfi
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nop.m 0
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// x not NaN ?
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(p6) fclass.m p7,p0=f8,0x3f
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nop.i 0;;
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}
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{.mfi
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// f9=35/8
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setf.s f9=r2
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nop.f 0
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// 2*emax-2
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mov r2=0x107fb;;
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}
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{.mfb
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nop.m 0
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// if f8=Infinity or f9=Zero, return |f8|
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(p7) fmerge.s f8=f0,f32
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(p7) br.ret.spnt b0
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}
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{.mfb
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nop.m 0
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// if f9=Infinity or f8=Zero, return |f9|
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(p8) fmerge.s f8=f0,f33
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(p8) br.ret.spnt b0;;
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}
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{.mfi
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// f10 =231/16
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setf.s f10=r3
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// z0=frsqrta(a)
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frsqrta.s1 f8,p6=f12
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nop.i 0;;
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}
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{ .mfi
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nop.m 0
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// Identify Natvals, Infs, NaNs, and Zeros
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// and return result
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fclass.m.unc p7, p0 = f12, 0x1E7
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nop.i 0;;
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}
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{.mfb
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// get exponent of x^2+y^2
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getf.exp r3=f12
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// if special case, set f8
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(p7) mov f8=f12
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(p7) br.ret.spnt b0;;
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}
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{.mfi
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nop.m 0
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// S0=a*z0
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(p6) fma.s1 f14=f12,f8,f0
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nop.i 0
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}
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{.mfi
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nop.m 0
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// H0=0.5*z0
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(p6) fma.s1 f15=f8,f7,f0
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nop.i 0;;
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}
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{.mfi
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nop.m 0
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// f6=5/2
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fma.s1 f6=f7,f1,f6
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nop.i 0
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}
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{.mfi
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nop.m 0
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// f11=3/2
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fma.s1 f11=f7,f1,f1
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nop.i 0;;
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}
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{.mfi
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nop.m 0
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// d=0.5-S0*H0
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(p6) fnma.s1 f7=f14,f15,f7
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nop.i 0;;
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}
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{.mfi
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nop.m 0
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// P67=231/16+429/16*d
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(p6) fma.s1 f10=f34,f7,f10
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nop.i 0
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}
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{.mfi
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nop.m 0
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// P45=63/8*d+35/8
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(p6) fma.s1 f9=f13,f7,f9
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nop.i 0;;
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}
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{.mfi
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nop.m 0
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// P23=5/2*d+3/2
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(p6) fma.s1 f11=f6,f7,f11
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nop.i 0
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}
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{.mfi
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nop.m 0
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// d2=d*d
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(p6) fma.s1 f13=f7,f7,f0
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nop.i 0;;
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}
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{.mfi
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nop.m 0
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// P47=d2*P67+P45
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(p6) fma.s1 f10=f10,f13,f9
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nop.i 0
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}
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{.mfi
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nop.m 0
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// P13=d*P23+1
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(p6) fma.s1 f11=f11,f7,f1
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nop.i 0;;
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}
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{.mfi
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nop.m 0
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// d3=d2*d
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(p6) fma.s1 f13=f13,f7,f0
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nop.i 0;;
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}
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{.mfi
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nop.m 0
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// T0=d*S0
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(p6) fma.s1 f15=f7,f14,f0
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nop.i 0
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}
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{.mfi
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// Is x^2 + y^2 well less than the overflow
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// threshold?
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(p6) cmp.lt.unc p7, p8 = r3,r2
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// P=P13+d3*P47
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(p6) fma.s1 f10=f13,f10,f11
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nop.i 0;;
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}
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{.mfb
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nop.m 0
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// S=P*T0+S0
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fma.d.s0 f8=f10,f15,f14
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// No overflow in this case
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(p7) br.ret.sptk b0;;
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}
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{ .mfi
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nop.m 0
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(p8) fsetc.s2 0x7F,0x42
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// Possible overflow path, must detect by
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// Setting widest range exponent with prevailing
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// rounding mode.
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nop.i 0 ;;
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}
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{ .mfi
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// bias+0x400 (bias+EMAX+1)
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(p8) mov r2=0x103ff
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// S=P*T0+S0
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(p8) fma.d.s2 f12=f10,f15,f14
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nop.i 0 ;;
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}
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{ .mfi
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(p8) setf.exp f11 = r2
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(p8) fsetc.s2 0x7F,0x40
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// Restore Original Mode in S2
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nop.i 0 ;;
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}
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{ .mfi
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nop.m 0
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(p8) fcmp.lt.unc.s1 p9, p10 = f12, f11
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nop.i 0 ;;
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}
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{ .mib
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nop.m 0
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mov GR_Parameter_TAG = 46
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// No overflow
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(p9) br.ret.sptk b0;;
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}
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.endp
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.proc __libm_error_region
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__libm_error_region:
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.prologue
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{ .mfi
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add GR_Parameter_Y=-32,sp // Parameter 2 value
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nop.f 0
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.save ar.pfs,GR_SAVE_PFS
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mov GR_SAVE_PFS=ar.pfs // Save ar.pfs
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}
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{ .mfi
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.fframe 64
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add sp=-64,sp // Create new stack
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nop.f 0
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mov GR_SAVE_GP=gp // Save gp
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};;
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{ .mmi
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stfd [GR_Parameter_Y] = FR_Y,16 // Save Parameter 2 on stack
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add GR_Parameter_X = 16,sp // Parameter 1 address
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.save b0, GR_SAVE_B0
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mov GR_SAVE_B0=b0 // Save b0
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};;
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.body
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{ .mib
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stfd [GR_Parameter_X] = FR_X // Store Parameter 1 on stack
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add GR_Parameter_RESULT = 0,GR_Parameter_Y
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nop.b 0 // Parameter 3 address
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}
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{ .mib
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stfd [GR_Parameter_Y] = FR_RESULT // Store Parameter 3 on stack
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add GR_Parameter_Y = -16,GR_Parameter_Y
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br.call.sptk b0=__libm_error_support# // Call error handling function
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};;
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{ .mmi
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nop.m 0
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nop.m 0
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add GR_Parameter_RESULT = 48,sp
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};;
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{ .mmi
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ldfd f8 = [GR_Parameter_RESULT] // Get return result off stack
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.restore
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add sp = 64,sp // Restore stack pointer
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mov b0 = GR_SAVE_B0 // Restore return address
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};;
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{ .mib
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mov gp = GR_SAVE_GP // Restore gp
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mov ar.pfs = GR_SAVE_PFS // Restore ar.pfs
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br.ret.sptk b0 // Return
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};;
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.endp
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.type __libm_error_support#,@function
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.global __libm_error_support#
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