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-.file "round.s"
-
-
-// Copyright (c) 2000 - 2003, Intel Corporation
-// All rights reserved.
-//
-//
-// Redistribution and use in source and binary forms, with or without
-// 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
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
-// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-//
-// Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at
-// http://www.intel.com/software/products/opensource/libraries/num.htm.
-//
-// History
-//==============================================================
-// 10/25/00 Initial version
-// 06/14/01 Changed cmp to an equivalent form
-// 05/20/02 Cleaned up namespace and sf0 syntax
-// 01/20/03 Improved performance and reduced code size
-// 04/18/03 Eliminate possible WAW dependency warning
-// 09/03/03 Improved performance
-//==============================================================
-
-// API
-//==============================================================
-// double round(double x)
-//==============================================================
-
-// general input registers:
-// r14 - r18
-
-rSignexp = r14
-rExp = r15
-rExpMask = r16
-rBigexp = r17
-rExpHalf = r18
-
-// floating-point registers:
-// f8 - f13
-
-fXtruncInt = f9
-fNormX = f10
-fHalf = f11
-fInc = f12
-fRem = f13
-
-// predicate registers used:
-// p6 - p10
-
-// Overview of operation
-//==============================================================
-// double round(double x)
-// Return an integer value (represented as a double) that is x
-// rounded to nearest integer, halfway cases rounded away from
-// zero.
-// if x>0 result = trunc(x+0.5)
-// if x<0 result = trunc(x-0.5)
-//
-//==============================================================
-
-// double_extended
-// if the exponent is > 1003e => 3F(true) = 63(decimal)
-// we have a significand of 64 bits 1.63-bits.
-// If we multiply by 2^63, we no longer have a fractional part
-// So input is an integer value already.
-
-// double
-// if the exponent is >= 10033 => 34(true) = 52(decimal)
-// 34 + 3ff = 433
-// we have a significand of 53 bits 1.52-bits. (implicit 1)
-// If we multiply by 2^52, we no longer have a fractional part
-// So input is an integer value already.
-
-// single
-// if the exponent is > 10016 => 17(true) = 23(decimal)
-// we have a significand of 24 bits 1.23-bits. (implicit 1)
-// If we multiply by 2^23, we no longer have a fractional part
-// So input is an integer value already.
-
-
-.section .text
-GLOBAL_LIBM_ENTRY(round)
-
-{ .mfi
- getf.exp rSignexp = f8 // Get signexp, recompute if unorm
- fcvt.fx.trunc.s1 fXtruncInt = f8 // Convert to int in significand
- addl rBigexp = 0x10033, r0 // Set exponent at which is integer
-}
-{ .mfi
- mov rExpHalf = 0x0FFFE // Form sign and exponent of 0.5
- fnorm.s1 fNormX = f8 // Normalize input
- mov rExpMask = 0x1FFFF // Form exponent mask
-}
-;;
-
-{ .mfi
- setf.exp fHalf = rExpHalf // Form 0.5
- fclass.m p7,p0 = f8, 0x0b // Test x unorm
- nop.i 0
-}
-;;
-
-{ .mfb
- nop.m 0
- fclass.m p6,p0 = f8, 0x1e3 // Test x natval, nan, inf
-(p7) br.cond.spnt ROUND_UNORM // Branch if x unorm
-}
-;;
-
-ROUND_COMMON:
-// Return here from ROUND_UNORM
-{ .mfb
- nop.m 0
- fcmp.lt.s1 p8,p9 = f8, f0 // Test if x < 0
-(p6) br.cond.spnt ROUND_SPECIAL // Exit if x natval, nan, inf
-}
-;;
-
-{ .mfi
- nop.m 0
- fcvt.xf f8 = fXtruncInt // Pre-Result if 0.5 <= |x| < 2^52
- nop.i 0
-}
-;;
-
-{ .mfi
- and rExp = rSignexp, rExpMask // Get biased exponent
- fmerge.s fInc = fNormX, f1 // Form increment if |rem| >= 0.5
- nop.i 0
-}
-;;
-
-{ .mmi
- cmp.lt p6,p0 = rExp, rExpHalf // Is |x| < 0.5?
- cmp.ge p7,p0 = rExp, rBigexp // Is |x| >= 2^52?
- cmp.lt p10,p0 = rExp, rExpHalf // Is |x| < 0.5?
-}
-;;
-
-// We must correct result if |x| < 0.5, or |x| >= 2^52
-.pred.rel "mutex",p6,p7
-{ .mfi
- nop.m 0
-(p6) fmerge.s f8 = fNormX, f0 // If |x| < 0.5, result sgn(x)*0
- nop.i 0
-}
-{ .mfb
-(p7) cmp.eq p10,p0 = r0, r0 // Also turn on p10 if |x| >= 2^52
-(p7) fma.d.s0 f8 = fNormX, f1, f0 // If |x| >= 2^52, result x
-(p10) br.ret.spnt b0 // Exit |x| < 0.5 or |x| >= 2^52
-}
-;;
-
-// Here if 0.5 <= |x| < 2^52
-{ .mfi
- nop.m 0
-(p9) fms.s1 fRem = fNormX, f1, f8 // Get remainder = x - trunc(x)
- nop.i 0
-}
-{ .mfi
- nop.m 0
-(p8) fms.s1 fRem = f8, f1, fNormX // Get remainder = trunc(x) - x
- nop.i 0
-}
-;;
-
-{ .mfi
- nop.m 0
- fcmp.ge.s1 p9,p0 = fRem, fHalf // Test |rem| >= 0.5
- nop.i 0
-}
-;;
-
-// If x < 0 and remainder <= -0.5, then subtract 1 from result
-// If x > 0 and remainder >= +0.5, then add 1 to result
-{ .mfb
- nop.m 0
-(p9) fma.d.s0 f8 = f8, f1, fInc
- br.ret.sptk b0
-}
-;;
-
-
-ROUND_SPECIAL:
-// Here if x natval, nan, inf
-{ .mfb
- nop.m 0
- fma.d.s0 f8 = f8, f1, f0
- br.ret.sptk b0
-}
-;;
-
-ROUND_UNORM:
-// Here if x unorm
-{ .mfi
- getf.exp rSignexp = fNormX // Get signexp, recompute if unorm
- fcmp.eq.s0 p7,p0 = f8, f0 // Dummy op to set denormal flag
- nop.i 0
-}
-{ .mfb
- nop.m 0
- fcvt.fx.trunc.s1 fXtruncInt = fNormX // Convert to int in significand
- br.cond.sptk ROUND_COMMON // Return to main path
-}
-;;
-
-GLOBAL_LIBM_END(round)
-libm_alias_double_other (round, round)