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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.
+//
+// WARRANTY DISCLAIMER
+//
+// 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 = r14
+ceil_GR_signexp = r15
+ceil_GR_exponent = r16
+ceil_GR_expmask = r17
+ceil_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 = f7
+CEIL_NORM_f8 = f9
+CEIL_FFFF = f10
+CEIL_INEXACT = f11
+CEIL_FLOAT_INT_f8 = f12
+CEIL_INT_f8 = f13
+CEIL_adj = f14
+CEIL_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 0xe7
+
+
+ceil:
+
+{ .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 denorm
+L(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 ceil
+ASM_SIZE_DIRECTIVE(ceil)