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282 lines
8.2 KiB
ArmAsm
282 lines
8.2 KiB
ArmAsm
.file "logbl.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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// Contributed 2000 by the Intel Numerics Group, Intel Corporation
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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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// 02/16/00 Modified to conform to C9X
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// 03/16/00 Improved speed
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// 04/04/00 Unwind support added
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// 05/30/00 Fixed bug when x double-extended denormal
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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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// 05/20/02 Cleaned up namespace and sf0 syntax
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// 01/20/03 Improved performance
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//
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// API
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//==============================================================
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// long double logbl( long double x );
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//
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// Overview of operation
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//==============================================================
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// The logbl function extracts the exponent of x as an integer in
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// floating-point format.
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// logbl computes log2 of x as a long double
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//
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// logbl is similar to ilogbl but differs in the following ways:
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// +-inf
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// ilogbl: returns INT_MAX
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// logbl: returns +inf
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// Nan returns FP_LOGBNAN (which is either INT_MAX or INT_MIN)
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// ilogbl: returns INT_MAX (7fffffff)
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// logbl: returns QNAN (quietized SNAN)
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// 0 returns FP_ILOGB0 (which is either INT_MIN or -INT_MAX)
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// ilogbl: returns -INT_MAX (80000001)
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// logbl: returns -inf, raises the divide-by-zero exception,
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// and calls libm_error_support to set domain error
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//
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// Registers used
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//==============================================================
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// general registers used:
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// r26 -> r38
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// r35 -> r38 used as parameters to error path
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//
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// predicate registers used:
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// p6, p7, p8
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// floating-point registers used:
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// f9, f10, f11
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// f8, input
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rExpBias = r26
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rExpMask = r27
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rSignexp_x = r28
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rExp_x = r29
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rTrueExp_x = r30
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rExp_2to64 = r31
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GR_SAVE_PFS = r32
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GR_SAVE_B0 = r33
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GR_SAVE_GP = r34
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GR_Parameter_X = r35
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GR_Parameter_Y = r36
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GR_Parameter_RESULT = r37
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GR_Parameter_TAG = r38
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fExp_in_signif = f9
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fNorm_x = f10
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fFloat_Exp = f10
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f2to64 = f11
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.section .text
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GLOBAL_LIBM_ENTRY(logbl)
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// X NORMAL
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// TrueExp_x = exp(f8) - 0xffff
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// sig = TrueExp_x
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// f8 = convert_to_fp (sig))
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{ .mfi
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getf.exp rSignexp_x = f8
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fclass.m p8,p0 = f8, 0x0b // Test for x unorm
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mov rExpBias = 0xffff // Exponent bias
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}
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{ .mfi
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nop.m 0
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fnorm.s1 fNorm_x = f8
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mov rExpMask = 0x1ffff // Exponent mask
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}
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;;
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// Form signexp of 2^64 in case need to scale denormal
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{ .mfb
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mov rExp_2to64 = 0x1003f
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fclass.m p6,p0 = f8, 0x1e3 // Test x natval, nan, inf
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(p8) br.cond.spnt LOGB_DENORM // Branch if x unorm
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}
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;;
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LOGB_COMMON:
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// Return here from LOGB_DENORM
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{ .mfi
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and rExp_x = rSignexp_x, rExpMask // Get biased exponent
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fclass.m p7,p0 = f8, 0x07 // Test x zero
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nop.i 0
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}
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;;
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// X NAN or INFINITY, return f8 * f8
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{ .mfb
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sub rTrueExp_x = rExp_x, rExpBias // Get true exponent
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(p6) fma.s0 f8= f8,f8,f0 // Result if x natval, nan, inf
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(p6) br.ret.spnt b0 // Exit if x natval, nan, inf
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}
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;;
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{ .mib
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setf.sig fExp_in_signif = rTrueExp_x // Exponent as integer in fp
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nop.i 999
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(p7) br.cond.spnt LOGB_ZERO
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}
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;;
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// Result can be represented in less than 24 bits, so no precision completer
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// is needed.
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{ .mfb
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nop.m 0
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fcvt.xf f8 = fExp_in_signif
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br.ret.sptk b0 // Exit main path, 0 < |x| < inf
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}
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;;
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LOGB_DENORM:
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// Form 2^64 in case need to scale denormal
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// Check to see if double-extended denormal
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{ .mfi
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setf.exp f2to64 = rExp_2to64
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fclass.m p8,p0 = fNorm_x, 0x0b
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nop.i 0
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}
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;;
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{ .mfi
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nop.m 0
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fcmp.eq.s0 p7,p0 = f8, f0 // Dummy op to set denormal flag
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nop.i 0
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}
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;;
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// If double-extended denormal add 64 to exponent bias for scaling
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// If double-extended denormal form x * 2^64 which is normal
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{ .mfi
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(p8) add rExpBias = 64, rExpBias
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(p8) fmpy.s1 fNorm_x = fNorm_x, f2to64
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nop.i 0
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}
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;;
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// Logic is the same as normal path but use normalized input
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{ .mib
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getf.exp rSignexp_x = fNorm_x
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nop.i 0
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br.cond.sptk LOGB_COMMON // Return to main path
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}
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;;
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LOGB_ZERO:
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// Here if x zero
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// f10 = -|f8|
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// f9 = 1.0/f10 = -1.0/|f8| = -inf
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{ .mmf
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alloc r32=ar.pfs,1,2,4,0
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mov GR_Parameter_TAG = 150 // Error code
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fmerge.ns f10 = f0,f8
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}
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;;
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{ .mfb
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nop.m 0
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frcpa.s0 f9,p6 = f1,f10 // Produce -inf, Z flag
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br.cond.sptk __libm_error_region // Call error support
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}
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;;
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GLOBAL_LIBM_END(logbl)
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LOCAL_LIBM_ENTRY(__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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stfe [GR_Parameter_Y] = f0,16 // STORE 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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stfe [GR_Parameter_X] = f8 // STORE Parameter 1 on stack
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add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
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nop.b 0
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}
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{ .mib
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stfe [GR_Parameter_Y] = f9 // 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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add GR_Parameter_RESULT = 48,sp
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nop.m 0
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nop.i 0
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};;
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{ .mmi
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ldfe f8 = [GR_Parameter_RESULT] // Get return result off stack
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.restore sp
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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
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};;
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LOCAL_LIBM_END(__libm_error_region)
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.type __libm_error_support#,@function
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.global __libm_error_support#
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