📄 s_ceil.s
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.file "ceil.s"// Copyright (C) 2000, 2001, Intel Corporation// All rights reserved.// // Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.//// 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://developer.intel.com/opensource.//#include "libm_support.h".align 32.global ceil#.section .text.proc ceil#.align 32// History//==============================================================// 2/02/00: Initial version// 6/13/00: Improved speed// 6/27/00: Eliminated incorrect invalid flag setting// API//==============================================================// double ceil(double x)// general input registers: ceil_GR_FFFF = r14ceil_GR_signexp = r15ceil_GR_exponent = r16ceil_GR_expmask = r17ceil_GR_bigexp = r18// predicate registers used: // p6 ==> Input is NaN, infinity, zero// p7 ==> Input is denormal// p8 ==> Input is <0// p9 ==> Input is >=0// p10 ==> Input is already an integer (bigger than largest integer)// p11 ==> Input is not a large integer// p12 ==> Input is a smaller integer// p13 ==> Input is not an even integer, so inexact must be set// p14 ==> Input is between -1 and 0, so result will be -0 and inexact// floating-point registers used: CEIL_SIGNED_ZERO = f7CEIL_NORM_f8 = f9 CEIL_FFFF = f10 CEIL_INEXACT = f11 CEIL_FLOAT_INT_f8 = f12CEIL_INT_f8 = f13CEIL_adj = f14CEIL_MINUS_ONE = f15// Overview of operation//==============================================================// double ceil(double x)// Return an integer value (represented as a double) that is the smallest // value not less than x// This is x rounded toward +infinity to an integral value.// Inexact is set if x != ceil(x)// **************************************************************************// Set denormal flag for denormal input and// and take denormal fault if necessary.// Is the input an integer value already?// 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.// If x is NAN, ZERO, or INFINITY, then return// qnan snan inf norm unorm 0 -+// 1 1 1 0 0 1 11 0xe7ceil:{ .mfi getf.exp ceil_GR_signexp = f8 fcvt.fx.trunc.s1 CEIL_INT_f8 = f8 addl ceil_GR_bigexp = 0x10033, r0}{ .mfi addl ceil_GR_FFFF = -1,r0 fcmp.lt.s1 p8,p9 = f8,f0 mov ceil_GR_expmask = 0x1FFFF ;;}// p7 ==> denorm{ .mfi setf.sig CEIL_FFFF = ceil_GR_FFFF fclass.m p7,p0 = f8, 0x0b nop.i 999}{ .mfi nop.m 999 fnorm CEIL_NORM_f8 = f8 nop.i 999 ;;}// Form 0 with sign of input in case negative zero is needed{ .mfi nop.m 999 fmerge.s CEIL_SIGNED_ZERO = f8, f0 nop.i 999}{ .mfi nop.m 999 fsub.s1 CEIL_MINUS_ONE = f0, f1 nop.i 999 ;;}// p6 ==> NAN, INF, ZERO{ .mfb nop.m 999 fclass.m p6,p10 = f8, 0xe7(p7) br.cond.spnt L(CEIL_DENORM) ;;}L(CEIL_COMMON):.pred.rel "mutex",p8,p9// Set adjustment to add to trunc(x) for result// If x>0, adjustment is 1.0// If x<=0, adjustment is 0.0{ .mfi and ceil_GR_exponent = ceil_GR_signexp, ceil_GR_expmask(p9) fadd.s1 CEIL_adj = f1,f0 nop.i 999}{ .mfi nop.m 999(p8) fadd.s1 CEIL_adj = f0,f0 nop.i 999 ;;}{ .mfi(p10) cmp.ge.unc p10,p11 = ceil_GR_exponent, ceil_GR_bigexp(p6) fnorm.d f8 = f8 nop.i 999 ;;}{ .mfi nop.m 999(p11) fcvt.xf CEIL_FLOAT_INT_f8 = CEIL_INT_f8 nop.i 999 ;;}{ .mfi nop.m 999(p10) fnorm.d f8 = CEIL_NORM_f8 nop.i 999 ;;}// Is -1 < x < 0? If so, result will be -0. Special case it with p14 set.{ .mfi nop.m 999(p8) fcmp.gt.unc.s1 p14,p0 = CEIL_NORM_f8, CEIL_MINUS_ONE nop.i 999 ;;}{ .mfi(p14) cmp.ne p11,p0 = r0,r0(p14) fnorm.d f8 = CEIL_SIGNED_ZERO nop.i 999}{ .mfi nop.m 999(p14) fmpy.s0 CEIL_INEXACT = CEIL_FFFF,CEIL_FFFF nop.i 999 ;;}{ .mfi nop.m 999(p11) fadd.d f8 = CEIL_FLOAT_INT_f8,CEIL_adj nop.i 999 ;;}{ .mfi nop.m 999(p11) fcmp.eq.unc.s1 p12,p13 = CEIL_FLOAT_INT_f8, CEIL_NORM_f8 nop.i 999 ;;}// Set inexact if result not equal to input{ .mfi nop.m 999(p13) fmpy.s0 CEIL_INEXACT = CEIL_FFFF,CEIL_FFFF nop.i 999}// Set result to input if integer{ .mfb nop.m 999(p12) fnorm.d f8 = CEIL_NORM_f8 br.ret.sptk b0 ;;}// Here if input denormL(CEIL_DENORM):{ .mfb getf.exp ceil_GR_signexp = CEIL_NORM_f8 fcvt.fx.trunc.s1 CEIL_INT_f8 = CEIL_NORM_f8 br.cond.sptk L(CEIL_COMMON) ;;}.endp ceilASM_SIZE_DIRECTIVE(ceil)
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