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+.file "roundf.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
+//==============================================================
+// 10/25/00 Initial version
+// 06/14/01 Changed cmp to an equivalent form
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance and reduced code size
+// 04/18/03 Eliminate possible WAW dependency warning
+// 09/03/03 Improved performance
+//==============================================================
+
+// API
+//==============================================================
+// float roundf(float x)
+//==============================================================
+
+// general input registers:
+// r14 - r18
+
+rSignexp = r14
+rExp = r15
+rExpMask = r16
+rBigexp = r17
+rExpHalf = r18
+
+// floating-point registers:
+// f8 - f13
+
+fXtruncInt = f9
+fNormX = f10
+fHalf = f11
+fInc = f12
+fRem = f13
+
+// predicate registers used:
+// p6 - p10
+
+// Overview of operation
+//==============================================================
+// float roundf(float x)
+// Return an integer value (represented as a float) that is x
+// rounded to nearest integer, halfway cases rounded away from
+// zero.
+// if x>0 result = trunc(x+0.5)
+// if x<0 result = trunc(x-0.5)
+//
+//==============================================================
+
+// 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(roundf)
+
+{ .mfi
+ getf.exp rSignexp = f8 // Get signexp, recompute if unorm
+ fcvt.fx.trunc.s1 fXtruncInt = f8 // Convert to int in significand
+ addl rBigexp = 0x10016, r0 // Set exponent at which is integer
+}
+{ .mfi
+ mov rExpHalf = 0x0FFFE // Form sign and exponent of 0.5
+ fnorm.s1 fNormX = f8 // Normalize input
+ mov rExpMask = 0x1FFFF // Form exponent mask
+}
+;;
+
+{ .mfi
+ setf.exp fHalf = rExpHalf // Form 0.5
+ fclass.m p7,p0 = f8, 0x0b // Test x unorm
+ nop.i 0
+}
+;;
+
+{ .mfb
+ nop.m 0
+ fclass.m p6,p0 = f8, 0x1e3 // Test x natval, nan, inf
+(p7) br.cond.spnt ROUND_UNORM // Branch if x unorm
+}
+;;
+
+ROUND_COMMON:
+// Return here from ROUND_UNORM
+{ .mfb
+ nop.m 0
+ fcmp.lt.s1 p8,p9 = f8, f0 // Test if x < 0
+(p6) br.cond.spnt ROUND_SPECIAL // Exit if x natval, nan, inf
+}
+;;
+
+{ .mfi
+ nop.m 0
+ fcvt.xf f8 = fXtruncInt // Pre-Result if 0.5 <= |x| < 2^23
+ nop.i 0
+}
+;;
+
+{ .mfi
+ and rExp = rSignexp, rExpMask // Get biased exponent
+ fmerge.s fInc = fNormX, f1 // Form increment if |rem| >= 0.5
+ nop.i 0
+}
+;;
+
+{ .mmi
+ cmp.lt p6,p0 = rExp, rExpHalf // Is |x| < 0.5?
+ cmp.ge p7,p0 = rExp, rBigexp // Is |x| >= 2^23?
+ cmp.lt p10,p0 = rExp, rExpHalf // Is |x| < 0.5?
+}
+;;
+
+// We must correct result if |x| < 0.5, or |x| >= 2^23
+.pred.rel "mutex",p6,p7
+{ .mfi
+ nop.m 0
+(p6) fmerge.s f8 = fNormX, f0 // If |x| < 0.5, result sgn(x)*0
+ nop.i 0
+}
+{ .mfb
+(p7) cmp.eq p10,p0 = r0, r0 // Also turn on p10 if |x| >= 2^23
+(p7) fma.s.s0 f8 = fNormX, f1, f0 // If |x| >= 2^23, result x
+(p10) br.ret.spnt b0 // Exit |x| < 0.5 or |x| >= 2^23
+}
+;;
+
+// Here if 0.5 <= |x| < 2^23
+{ .mfi
+ nop.m 0
+(p9) fms.s1 fRem = fNormX, f1, f8 // Get remainder = x - trunc(x)
+ nop.i 0
+}
+{ .mfi
+ nop.m 0
+(p8) fms.s1 fRem = f8, f1, fNormX // Get remainder = trunc(x) - x
+ nop.i 0
+}
+;;
+
+{ .mfi
+ nop.m 0
+ fcmp.ge.s1 p9,p0 = fRem, fHalf // Test |rem| >= 0.5
+ nop.i 0
+}
+;;
+
+// If x < 0 and remainder <= -0.5, then subtract 1 from result
+// If x > 0 and remainder >= +0.5, then add 1 to result
+{ .mfb
+ nop.m 0
+(p9) fma.s.s0 f8 = f8, f1, fInc
+ br.ret.sptk b0
+}
+;;
+
+
+ROUND_SPECIAL:
+// Here if x natval, nan, inf
+{ .mfb
+ nop.m 0
+ fma.s.s0 f8 = f8, f1, f0
+ br.ret.sptk b0
+}
+;;
+
+ROUND_UNORM:
+// Here if x unorm
+{ .mfi
+ getf.exp rSignexp = fNormX // Get signexp, recompute if unorm
+ fcmp.eq.s0 p7,p0 = f8, f0 // Dummy op to set denormal flag
+ nop.i 0
+}
+{ .mfb
+ nop.m 0
+ fcvt.fx.trunc.s1 fXtruncInt = fNormX // Convert to int in significand
+ br.cond.sptk ROUND_COMMON // Return to main path
+}
+;;
+
+GLOBAL_LIBM_END(roundf)