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+.file "ceil.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, 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://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/02/00 Initial version
+// 06/13/00 Improved speed
+// 06/27/00 Eliminated incorrect invalid flag setting
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/28/03 Improved performance
+//==============================================================
+
+// API
+//==============================================================
+// double ceil(double x)
+//==============================================================
+
+// general input registers:
+// r14 - r19
+
+rSignexp = r14
+rExp = r15
+rExpMask = r16
+rBigexp = r17
+rM1 = r18
+rSignexpM1 = r19
+
+// floating-point registers:
+// f8 - f13
+
+fXInt = f9
+fNormX = f10
+fTmp = f11
+fAdj = f12
+fPreResult = f13
+
+// predicate registers used:
+// p6 - p10
+
+// 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)
+//==============================================================
+
+// 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(ceil)
+
+{ .mfi
+ getf.exp rSignexp = f8 // Get signexp, recompute if unorm
+ fclass.m p7,p0 = f8, 0x0b // Test x unorm
+ addl rBigexp = 0x10033, r0 // Set exponent at which is integer
+}
+{ .mfi
+ mov rM1 = -1 // Set all ones
+ fcvt.fx.trunc.s1 fXInt = f8 // Convert to int in significand
+ mov rExpMask = 0x1FFFF // Form exponent mask
+}
+;;
+
+{ .mfi
+ mov rSignexpM1 = 0x2FFFF // Form signexp of -1
+ fcmp.lt.s1 p8,p9 = f8, f0 // Test x < 0
+ nop.i 0
+}
+{ .mfb
+ setf.sig fTmp = rM1 // Make const for setting inexact
+ fnorm.s1 fNormX = f8 // Normalize input
+(p7) br.cond.spnt CEIL_UNORM // Branch if x unorm
+}
+;;
+
+CEIL_COMMON:
+// Return here from CEIL_UNORM
+{ .mfi
+ nop.m 0
+ fclass.m p6,p0 = f8, 0x1e7 // Test x natval, nan, inf, 0
+ nop.i 0
+}
+;;
+
+.pred.rel "mutex",p8,p9
+{ .mfi
+ nop.m 0
+(p8) fma.s1 fAdj = f0, f0, f0 // If x < 0, adjustment is 0
+ nop.i 0
+}
+{ .mfi
+ nop.m 0
+(p9) fma.s1 fAdj = f1, f1, f0 // If x > 0, adjustment is +1
+ nop.i 0
+}
+;;
+
+{ .mfi
+ nop.m 0
+ fcvt.xf fPreResult = fXInt // trunc(x)
+ nop.i 0
+}
+{ .mfb
+ nop.m 0
+(p6) fma.d.s0 f8 = f8, f1, f0 // Result if x natval, nan, inf, 0
+(p6) br.ret.spnt b0 // Exit if x natval, nan, inf, 0
+}
+;;
+
+{ .mmi
+ and rExp = rSignexp, rExpMask // Get biased exponent
+;;
+ cmp.ge p7,p6 = rExp, rBigexp // Is |x| >= 2^52?
+(p8) cmp.lt.unc p10,p0 = rSignexp, rSignexpM1 // Is -1 < x < 0?
+}
+;;
+
+// If -1 < x < 0, we turn off p6 and compute result as -0
+{ .mfi
+(p10) cmp.ne p6,p0 = r0,r0
+(p10) fmerge.s f8 = fNormX, f0
+ nop.i 0
+}
+;;
+
+.pred.rel "mutex",p6,p7
+{ .mfi
+ nop.m 0
+(p6) fma.d.s0 f8 = fPreResult, f1, fAdj // Result if !int, |x| < 2^52
+ nop.i 0
+}
+{ .mfi
+ nop.m 0
+(p7) fma.d.s0 f8 = fNormX, f1, f0 // Result, if |x| >= 2^52
+(p10) cmp.eq p6,p0 = r0,r0 // If -1 < x < 0, turn on p6 again
+}
+;;
+
+{ .mfi
+ nop.m 0
+(p6) fcmp.eq.unc.s1 p8, p9 = fPreResult, fNormX // Is trunc(x) = x ?
+ nop.i 0
+}
+;;
+
+{ .mfi
+ nop.m 0
+(p9) fmpy.s0 fTmp = fTmp, fTmp // Dummy to set inexact
+ nop.i 0
+}
+{ .mfb
+ nop.m 0
+(p8) fma.d.s0 f8 = fNormX, f1, f0 // If x int, result normalized x
+ br.ret.sptk b0 // Exit main path, 0 < |x| < 2^52
+}
+;;
+
+
+CEIL_UNORM:
+// Here if x unorm
+{ .mfb
+ getf.exp rSignexp = fNormX // Get signexp, recompute if unorm
+ fcmp.eq.s0 p7,p0 = f8, f0 // Dummy op to set denormal flag
+ br.cond.sptk CEIL_COMMON // Return to main path
+}
+;;
+
+GLOBAL_LIBM_END(ceil)