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30891f35fa
We stopped adding "Contributed by" or similar lines in sources in 2012 in favour of git logs and keeping the Contributors section of the glibc manual up to date. Removing these lines makes the license header a bit more consistent across files and also removes the possibility of error in attribution when license blocks or files are copied across since the contributed-by lines don't actually reflect reality in those cases. Move all "Contributed by" and similar lines (Written by, Test by, etc.) into a new file CONTRIBUTED-BY to retain record of these contributions. These contributors are also mentioned in manual/contrib.texi, so we just maintain this additional record as a courtesy to the earlier developers. The following scripts were used to filter a list of files to edit in place and to clean up the CONTRIBUTED-BY file respectively. These were not added to the glibc sources because they're not expected to be of any use in future given that this is a one time task: https://gist.github.com/siddhesh/b5ecac94eabfd72ed2916d6d8157e7dc https://gist.github.com/siddhesh/15ea1f5e435ace9774f485030695ee02 Reviewed-by: Carlos O'Donell <carlos@redhat.com>
615 lines
12 KiB
ArmAsm
615 lines
12 KiB
ArmAsm
.file "remainderl.s"
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// Copyright (c) 2000 - 2003, Intel Corporation
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// All rights reserved.
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//
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//
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// Redistribution and use in source and binary forms, with or without
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// modification, are permitted provided that the following conditions are
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// met:
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//
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// * Redistributions of source code must retain the above copyright
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// notice, this list of conditions and the following disclaimer.
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//
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// * Redistributions in binary form must reproduce the above copyright
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// notice, this list of conditions and the following disclaimer in the
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// documentation and/or other materials provided with the distribution.
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//
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// * The name of Intel Corporation may not be used to endorse or promote
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// products derived from this software without specific prior written
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// permission.
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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://www.intel.com/software/products/opensource/libraries/num.htm.
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//
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// History
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//====================================================================
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// 02/02/00 Initial version
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// 03/02/00 New algorithm
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// 04/04/00 Unwind support added
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// 07/21/00 Fixed quotient=2^{24*m+23}*1.q1...q23 1 bug
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// 08/15/00 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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// 11/29/00 Set FR_Y to f9
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// 05/20/02 Cleaned up namespace and sf0 syntax
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// 02/10/03 Reordered header: .section, .global, .proc, .align
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//
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// API
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//====================================================================
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// long double remainderl(long double,long double);
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//
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// Overview of operation
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//====================================================================
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// remainder(a,b)=a-i*b,
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// where i is an integer such that, if b!=0 and a is finite,
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// |a/b-i|<=1/2. If |a/b-i|=1/2, i is even.
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//
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// Algorithm
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//====================================================================
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// a). eliminate special cases
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// b). if |a/b|<0.25 (first quotient estimate), return a
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// c). use single precision divide algorithm to get quotient q
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// rounded to 24 bits of precision
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// d). calculate partial remainders (using both q and q-ulp);
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// select one and RZ(a/b) based on the sign of |a|-|b|*q
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// e). if the exponent difference (exponent(a)-exponent(b))
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// is less than 24 (quotient estimate<2^{24}-2), use RZ(a/b)
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// and sticky bits to round to integer; exit loop and
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// calculate final remainder
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// f). if exponent(a)-exponent(b)>=24, select new value of a as
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// the partial remainder calculated using RZ(a/b);
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// repeat from c).
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//
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// Special cases
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//====================================================================
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// a=+/- Inf, or b=+/-0: return NaN, call libm_error_support
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// a=NaN or b=NaN: return NaN
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//
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// Registers used
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//====================================================================
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// Predicate registers: p6-p14
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// General registers: r2,r3,r28,r29,r32 (ar.pfs), r33-r39
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// Floating point registers: f6-f15,f32
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//
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GR_SAVE_B0 = r33
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GR_SAVE_PFS = r34
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GR_SAVE_GP = r35
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GR_SAVE_SP = r36
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GR_Parameter_X = r37
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GR_Parameter_Y = r38
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GR_Parameter_RESULT = r39
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GR_Parameter_TAG = r40
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FR_X = f10
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FR_Y = f9
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FR_RESULT = f8
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.section .text
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GLOBAL_IEEE754_ENTRY(remainderl)
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// inputs in f8, f9
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// result in f8
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{ .mfi
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alloc r32=ar.pfs,1,4,4,0
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// f13=|a|
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fmerge.s f13=f0,f8
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nop.i 0
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}
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{.mfi
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getf.sig r29=f9
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// f14=|b|
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fmerge.s f14=f0,f9
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nop.i 0;;
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}
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{.mlx
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mov r28=0x2ffdd
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// r2=2^{23}
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movl r3=0x4b000000;;
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}
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{.mmi
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setf.exp f32=r28
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nop.m 0
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// y pseudo-zero ?
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cmp.eq p11,p10=r29,r0;;
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}
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// Y +-NAN, +-inf, +-0? p11
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{ .mfi
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nop.m 999
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(p10) fclass.m p11,p10 = f9, 0xe7
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nop.i 999
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}
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// qnan snan inf norm unorm 0 -+
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// 1 1 1 0 0 0 11
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// e 3
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// X +-NAN, +-inf, ? p9
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{ .mfi
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nop.m 999
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fclass.m.unc p9,p8 = f8, 0xe3
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nop.i 999;;
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}
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{.mfi
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nop.m 0
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mov f12=f0
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nop.i 0
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}
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{ .mfi
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// set p7=1
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cmp.eq.unc p7,p0=r0,r0
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// Step (1)
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// y0 = 1 / b in f10
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frcpa.s1 f10,p6=f13,f14
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nop.i 0;;
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}
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// Y +-NAN, +-inf, +-0? p11
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{ .mfi
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nop.m 999
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// pseudo-NaN ?
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(p10) fclass.nm p11,p0 = f9, 0xff
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nop.i 999
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}
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// qnan snan inf norm unorm 0 -+
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// 1 1 1 0 0 0 11
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// e 3
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// X +-NAN, +-inf, ? p9
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{ .mfi
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nop.m 999
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(p8) fclass.nm p9,p0 = f8, 0xff
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nop.i 999;;
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}
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{.bbb
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(p9) br.cond.spnt FREM_X_NAN_INF
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(p11) br.cond.spnt FREM_Y_NAN_INF_ZERO
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nop.b 0
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} {.mfi
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nop.m 0
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// set D flag if a (f8) is denormal
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fnma.s0 f6=f8,f1,f8
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nop.i 0;;
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}
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remloop24:
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{ .mfi
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nop.m 0
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// Step (2)
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// q0 = a * y0 in f15
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(p6) fma.s1 f12=f13,f10,f0
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nop.i 0
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} { .mfi
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nop.m 0
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// Step (3)
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// e0 = 1 - b * y0 in f7
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(p6) fnma.s1 f7=f14,f10,f1
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nop.i 0;;
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} {.mlx
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nop.m 0
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// r2=1.25*2^{-24}
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movl r2=0x33a00000;;
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}
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{.mfi
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nop.m 0
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// q1=q0*(1+e0)
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(p6) fma.s1 f15=f12,f7,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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// Step (4)
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// e1 = e0 * e0 + E in f7
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(p6) fma.s1 f7=f7,f7,f32
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nop.i 0;;
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}
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{.mii
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(p7) getf.exp r29=f12
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(p7) mov r28=0xfffd
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nop.i 0;;
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}
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{ .mfi
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// f12=2^{23}
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setf.s f12=r3
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// Step (5)
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// q2 = q1 + e1 * q1 in f11
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(p6) fma.s.s1 f11=f7,f15,f15
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nop.i 0
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} { .mfi
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nop.m 0
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// Step (6)
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// q2 = q1 + e1 * q1 in f6
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(p6) fma.s1 f6=f7,f15,f15
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nop.i 0;;
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}
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{.mmi
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// f15=1.25*2^{-24}
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setf.s f15=r2
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// q<1/4 ? (i.e. expon< -2)
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(p7) cmp.gt p7,p0=r28,r29
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nop.i 0;;
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}
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{.mfb
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// r29= -32+bias
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mov r29=0xffdf
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// if |a/b|<1/4, set D flag before returning
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(p7) fma.s0 f9=f9,f0,f8
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nop.b 0;;
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}
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{.mfb
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nop.m 0
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// can be combined with bundle above if sign of 0 or
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// FTZ enabled are not important
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(p7) fmerge.s f8=f8,f9
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// return if |a|<4*|b| (estimated quotient < 1/4)
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(p7) br.ret.spnt b0;;
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}
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{.mfi
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// f7=2^{-32}
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setf.exp f7=r29
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// set f8 to current a value | sign
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fmerge.s f8=f8,f13
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nop.i 0;;
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}
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{.mfi
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getf.exp r28=f6
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// last step ? (q<2^{23})
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fcmp.lt.unc.s1 p0,p12=f6,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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// r=a-b*q
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fnma.s1 f6=f14,f11,f13
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nop.i 0
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} {.mfi
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// r2=23+bias
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mov r2=0xffff+23
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// q'=q-q*(1.25*2^{-24}) (q'=q-ulp)
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fnma.s.s1 f15=f11,f15,f11
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nop.i 0;;
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}
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{.mmi
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nop.m 0
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cmp.eq p11,p14=r2,r28
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nop.i 0;;
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}
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.pred.rel "mutex",p11,p14
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{.mfi
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nop.m 0
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// if exp_q=2^23, then r=a-b*2^{23}
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(p11) fnma.s1 f13=f12,f14,f13
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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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// r2=a-b*q'
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(p14) fnma.s1 f13=f14,f15,f13
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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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// r>0 iff q=RZ(a/b) and inexact
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fcmp.gt.unc.s1 p8,p0=f6,f0
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nop.i 0
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} {.mfi
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nop.m 0
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// r<0 iff q'=RZ(a/b) and inexact
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(p14) fcmp.lt.unc.s1 p9,p10=f6,f0
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nop.i 0;;
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}
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.pred.rel "mutex",p8,p9
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{.mfi
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nop.m 0
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// (p8) Q=q+(last iteration ? sticky bits:0)
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// i.e. Q=q+q*x (x=2^{-32} or 0)
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(p8) fma.s1 f11=f11,f7,f11
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nop.i 0
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} {.mfi
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nop.m 0
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// (p9) Q=q'+(last iteration ? sticky bits:0)
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// i.e. Q=q'+q'*x (x=2^{-32} or 0)
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(p9) fma.s1 f11=f15,f7,f15
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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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// (p9) set r=r2 (new a, if not last iteration)
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// (p10) new a =r
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(p10) mov f13=f6
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(p12) br.cond.sptk remloop24;;
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}
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// last iteration
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{.mfi
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nop.m 0
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// set f9=|b|*sgn(a)
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fmerge.s f9=f8,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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// round to integer
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fcvt.fx.s1 f11=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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// save sign of a
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fmerge.s f7=f8,f8
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nop.i 0
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} {.mfi
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nop.m 0
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// normalize
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fcvt.xf f11=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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// This can be removed if sign of 0 is not important
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// get remainder using sf1
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fnma.s1 f12=f9,f11,f8
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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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// get remainder
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fnma.s0 f8=f9,f11,f8
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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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// f12=0?
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// This can be removed if sign of 0 is not important
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fcmp.eq.unc.s1 p8,p0=f12,f0
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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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// if f8=0, set sign correctly
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// This can be removed if sign of 0 is not important
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(p8) fmerge.s f8=f7,f8
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// return
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br.ret.sptk b0;;
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}
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FREM_X_NAN_INF:
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// Y zero ?
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{.mfi
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nop.m 0
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fma.s1 f10=f9,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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fcmp.eq.unc.s1 p11,p0=f10,f0
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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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nop.i 0
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// if Y zero
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(p11) br.cond.spnt FREM_Y_ZERO;;
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}
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// X infinity? Return QNAN indefinite
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{ .mfi
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nop.m 999
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fclass.m.unc p8,p0 = f8, 0x23
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nop.i 999
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}
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// X infinity? Return QNAN indefinite
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{ .mfi
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nop.m 999
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fclass.m.unc p11,p0 = f8, 0x23
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nop.i 999;;
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}
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// Y NaN ?
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{.mfi
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nop.m 999
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(p8) fclass.m.unc p0,p8=f9,0xc3
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nop.i 0;;
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}
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{.mfi
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nop.m 999
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// also set Denormal flag if necessary
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(p8) fnma.s0 f9=f9,f1,f9
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nop.i 0
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}
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{ .mfi
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nop.m 999
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(p8) frcpa.s0 f8,p7 = f8,f8
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nop.i 999 ;;
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}
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{.mfi
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nop.m 999
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(p11) mov f10=f8
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nop.i 0
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}
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{ .mfi
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nop.m 999
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(p8) fma.s0 f8=f8,f1,f0
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nop.i 0 ;;
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}
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{ .mfb
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nop.m 999
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frcpa.s0 f8,p7=f8,f9
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(p11) br.cond.spnt EXP_ERROR_RETURN;;
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}
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{ .mib
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nop.m 0
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nop.i 0
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br.ret.spnt b0 ;;
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}
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FREM_Y_NAN_INF_ZERO:
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// Y INF
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{ .mfi
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nop.m 999
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fclass.m.unc p7,p0 = f9, 0x23
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nop.i 999 ;;
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}
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{ .mfb
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nop.m 999
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(p7) fma.s0 f8=f8,f1,f0
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(p7) br.ret.spnt b0 ;;
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}
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// Y NAN?
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{ .mfi
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nop.m 999
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fclass.m.unc p9,p10 = f9, 0xc3
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nop.i 999 ;;
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}
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{ .mfi
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nop.m 999
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(p10) fclass.nm p9,p0 = f9, 0xff
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nop.i 999 ;;
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}
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{ .mfb
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nop.m 999
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(p9) fma.s0 f8=f9,f1,f0
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(p9) br.ret.spnt b0 ;;
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}
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FREM_Y_ZERO:
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// Y zero? Must be zero at this point
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// because it is the only choice left.
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// Return QNAN indefinite
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// X NAN?
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|
{ .mfi
|
|
nop.m 999
|
|
fclass.m.unc p9,p10 = f8, 0xc3
|
|
nop.i 999 ;;
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p10) fclass.nm p9,p10 = f8, 0xff
|
|
nop.i 999 ;;
|
|
}
|
|
|
|
{.mfi
|
|
nop.m 999
|
|
(p9) frcpa.s0 f11,p7=f8,f0
|
|
nop.i 0;;
|
|
}
|
|
{ .mfi
|
|
nop.m 999
|
|
(p10) frcpa.s0 f11,p7 = f0,f0
|
|
nop.i 999;;
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fmerge.s f10 = f8, f8
|
|
nop.i 999
|
|
}
|
|
|
|
{ .mfi
|
|
nop.m 999
|
|
fma.s0 f8=f11,f1,f0
|
|
nop.i 999;;
|
|
}
|
|
|
|
EXP_ERROR_RETURN:
|
|
|
|
{ .mib
|
|
mov GR_Parameter_TAG = 123
|
|
nop.i 999
|
|
br.sptk __libm_error_region;;
|
|
}
|
|
|
|
GLOBAL_IEEE754_END(remainderl)
|
|
libm_alias_ldouble_other (__remainder, remainder)
|
|
weak_alias (__remainderl, dreml)
|
|
|
|
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
|
|
stfe [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
|
|
stfe [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
|
|
stfe [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
|
|
ldfe 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#
|