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+.file "ceill.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
+//==============================================================
+// long double ceill(long 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
+//==============================================================
+// long double ceill(long double x)
+// Return an integer value (represented as a long 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 != ceill(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(ceill)
+
+{ .mfi
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
+      addl             rBigexp = 0x1003e, 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.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| >= 2^63?
+(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.s0           f8 = fPreResult, f1, fAdj // Result if !int, |x| < 2^63
+      nop.i            0
+}
+{ .mfi
+      nop.m            0
+(p7)  fma.s0           f8 = fNormX, f1, f0    // Result, if |x| >= 2^63
+(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.s0           f8 = fNormX, f1, f0    // If x int, result normalized x
+      br.ret.sptk      b0                     // Exit main path, 0 < |x| < 2^63
+}
+;;
+
+
+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(ceill)