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245 lines
6.4 KiB
245 lines
6.4 KiB
.file "ceil.s"
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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, Ted Kubaska, Bob Norin, Shane Story,
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// and Ping Tak Peter Tang of the 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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.align 32
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.global ceil#
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.section .text
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.proc ceil#
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.align 32
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// History
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//==============================================================
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// 2/02/00: Initial version
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// 6/13/00: Improved speed
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// 6/27/00: Eliminated incorrect invalid flag setting
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// API
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//==============================================================
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// double ceil(double x)
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// general input registers:
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ceil_GR_FFFF = r14
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ceil_GR_signexp = r15
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ceil_GR_exponent = r16
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ceil_GR_expmask = r17
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ceil_GR_bigexp = r18
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// predicate registers used:
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// p6 ==> Input is NaN, infinity, zero
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// p7 ==> Input is denormal
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// p8 ==> Input is <0
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// p9 ==> Input is >=0
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// p10 ==> Input is already an integer (bigger than largest integer)
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// p11 ==> Input is not a large integer
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// p12 ==> Input is a smaller integer
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// p13 ==> Input is not an even integer, so inexact must be set
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// p14 ==> Input is between -1 and 0, so result will be -0 and inexact
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// floating-point registers used:
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CEIL_SIGNED_ZERO = f7
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CEIL_NORM_f8 = f9
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CEIL_FFFF = f10
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CEIL_INEXACT = f11
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CEIL_FLOAT_INT_f8 = f12
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CEIL_INT_f8 = f13
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CEIL_adj = f14
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CEIL_MINUS_ONE = f15
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// Overview of operation
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//==============================================================
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// double ceil(double x)
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// Return an integer value (represented as a double) that is the smallest
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// value not less than x
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// This is x rounded toward +infinity to an integral value.
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// Inexact is set if x != ceil(x)
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// **************************************************************************
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// Set denormal flag for denormal input and
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// and take denormal fault if necessary.
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// Is the input an integer value already?
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// double_extended
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// if the exponent is > 1003e => 3F(true) = 63(decimal)
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// we have a significand of 64 bits 1.63-bits.
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// If we multiply by 2^63, we no longer have a fractional part
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// So input is an integer value already.
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// double
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// if the exponent is >= 10033 => 34(true) = 52(decimal)
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// 34 + 3ff = 433
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// we have a significand of 53 bits 1.52-bits. (implicit 1)
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// If we multiply by 2^52, we no longer have a fractional part
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// So input is an integer value already.
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// single
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// if the exponent is > 10016 => 17(true) = 23(decimal)
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// we have a significand of 24 bits 1.23-bits. (implicit 1)
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// If we multiply by 2^23, we no longer have a fractional part
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// So input is an integer value already.
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// If x is NAN, ZERO, or INFINITY, then return
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// qnan snan inf norm unorm 0 -+
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// 1 1 1 0 0 1 11 0xe7
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ceil:
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{ .mfi
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getf.exp ceil_GR_signexp = f8
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fcvt.fx.trunc.s1 CEIL_INT_f8 = f8
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addl ceil_GR_bigexp = 0x10033, r0
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}
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{ .mfi
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addl ceil_GR_FFFF = -1,r0
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fcmp.lt.s1 p8,p9 = f8,f0
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mov ceil_GR_expmask = 0x1FFFF ;;
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}
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// p7 ==> denorm
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{ .mfi
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setf.sig CEIL_FFFF = ceil_GR_FFFF
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fclass.m p7,p0 = f8, 0x0b
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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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fnorm CEIL_NORM_f8 = f8
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nop.i 999 ;;
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}
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// Form 0 with sign of input in case negative zero is needed
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{ .mfi
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nop.m 999
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fmerge.s CEIL_SIGNED_ZERO = f8, f0
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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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fsub.s1 CEIL_MINUS_ONE = f0, f1
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nop.i 999 ;;
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}
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// p6 ==> NAN, INF, ZERO
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{ .mfb
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nop.m 999
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fclass.m p6,p10 = f8, 0xe7
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(p7) br.cond.spnt CEIL_DENORM ;;
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}
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.pred.rel "mutex",p8,p9
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CEIL_COMMON:
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// Set adjustment to add to trunc(x) for result
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// If x>0, adjustment is 1.0
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// If x<=0, adjustment is 0.0
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{ .mfi
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and ceil_GR_exponent = ceil_GR_signexp, ceil_GR_expmask
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(p9) fadd.s1 CEIL_adj = f1,f0
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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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(p8) fadd.s1 CEIL_adj = f0,f0
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nop.i 999 ;;
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}
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{ .mfi
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(p10) cmp.ge.unc p10,p11 = ceil_GR_exponent, ceil_GR_bigexp
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(p6) fnorm.d 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) fcvt.xf CEIL_FLOAT_INT_f8 = CEIL_INT_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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(p10) fnorm.d f8 = CEIL_NORM_f8
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nop.i 999 ;;
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}
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// Is -1 < x < 0? If so, result will be -0. Special case it with p14 set.
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{ .mfi
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nop.m 999
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(p8) fcmp.gt.unc.s1 p14,p0 = CEIL_NORM_f8, CEIL_MINUS_ONE
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nop.i 999 ;;
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}
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{ .mfi
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(p14) cmp.ne p11,p0 = r0,r0
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(p14) fnorm.d f8 = CEIL_SIGNED_ZERO
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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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(p14) fmpy.s0 CEIL_INEXACT = CEIL_FFFF,CEIL_FFFF
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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) fadd.d f8 = CEIL_FLOAT_INT_f8,CEIL_adj
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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) fcmp.eq.unc.s1 p12,p13 = CEIL_FLOAT_INT_f8, CEIL_NORM_f8
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nop.i 999 ;;
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}
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// Set inexact if result not equal to input
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{ .mfi
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nop.m 999
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(p13) fmpy.s0 CEIL_INEXACT = CEIL_FFFF,CEIL_FFFF
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nop.i 999
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}
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// Set result to input if integer
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{ .mfb
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nop.m 999
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(p12) fnorm.d f8 = CEIL_NORM_f8
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br.ret.sptk b0 ;;
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}
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// Here if input denorm
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CEIL_DENORM:
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{ .mfb
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getf.exp ceil_GR_signexp = CEIL_NORM_f8
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fcvt.fx.trunc.s1 CEIL_INT_f8 = CEIL_NORM_f8
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br.cond.sptk CEIL_COMMON ;;
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}
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.endp ceil
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