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+.file "modf.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
+// 04/04/00 Improved speed, corrected result for NaN input
+// 12/22/00 Fixed so inexact flag is never set, and invalid is not set for
+// qnans nor for inputs larger than 2^63.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// double modf(double x, double *iptr)
+// break a floating point x number into fraction and an exponent
+//
+// input floating point f8, address in r33
+// output floating point f8 (x fraction), and *iptr (x integral part)
+//
+// OVERVIEW
+//==============================================================
+//
+// NO FRACTIONAL PART: HUGE
+// If
+// for double-extended
+// If the true exponent is greater than or equal 63
+// 1003e ==> 1003e -ffff = 3f = 63(dec)
+// for double
+// If the true exponent is greater than or equal 52
+// 10033 -ffff = 34 = 52(dec)
+// for single
+// If the true exponent is greater than or equal 23
+// 10016 -ffff = 17 = 23(dec)
+// then
+// we are already an integer (p9 true)
+
+// NO INTEGER PART: SMALL
+// Is f8 exponent less than register bias (that is, is it
+// less than 1). If it is, get the right sign of
+// zero and store this in iptr.
+
+// CALCULATION: NOT HUGE, NOT SMALL
+// To get the integer part
+// Take the floating-point input and truncate
+// then convert this integer to fp Call it MODF_INTEGER_PART
+
+// Subtract MODF_INTEGER_PART from MODF_NORM_F8 to get fraction part
+// Then put fraction part in f8
+// put integer part MODF_INTEGER_PART into *iptr
+
+// Registers used
+//==============================================================
+
+// predicate registers used:
+// p6 - p13
+
+// 0xFFFF 0x10033
+// -----------------------+-----------------+-------------
+// SMALL | NORMAL | HUGE
+// p11 --------------->|<----- p12 ----->| <-------------- p9
+// p10 --------------------------------->|
+// p13 --------------------------------------------------->|
+//
+
+// floating-point registers used:
+MODF_NORM_F8 = f9
+MODF_FRACTION_PART = f10
+MODF_INTEGER_PART = f11
+MODF_INT_INTEGER_PART = f12
+
+
+// general registers used
+modf_signexp = r14
+modf_GR_no_frac = r15
+modf_GR_FFFF = r16
+modf_17_ones = r17
+modf_exp = r18
+// r33 = iptr
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(modf)
+
+// Main path is p9, p11, p8 FALSE and p12 TRUE
+
+// Assume input is normalized and get signexp
+// Normalize input just in case
+// Form exponent bias
+{ .mfi
+ getf.exp modf_signexp = f8
+ fnorm.s0 MODF_NORM_F8 = f8
+ addl modf_GR_FFFF = 0xffff, r0
+}
+// Get integer part of input
+// Form exponent mask
+{ .mfi
+ nop.m 999
+ fcvt.fx.trunc.s1 MODF_INT_INTEGER_PART = f8
+ mov modf_17_ones = 0x1ffff ;;
+}
+
+// Is x nan or inf?
+// qnan snan inf norm unorm 0 -+
+// 1 1 1 0 0 0 11 = 0xe3 NAN_INF
+// Form biased exponent where input only has an integer part
+{ .mfi
+ nop.m 999
+ fclass.m.unc p6,p13 = f8, 0xe3
+ addl modf_GR_no_frac = 0x10033, r0 ;;
+}
+
+// Mask to get exponent
+// Is x unnorm?
+// qnan snan inf norm unorm 0 -+
+// 0 0 0 0 1 0 11 = 0x0b UNORM
+// Set p13 to indicate calculation path, else p6 if nan or inf
+{ .mfi
+ and modf_exp = modf_17_ones, modf_signexp
+ fclass.m.unc p8,p0 = f8, 0x0b
+ nop.i 999 ;;
+}
+
+// p11 <== SMALL, no integer part, fraction is everyting
+// p9 <== HUGE, no fraction part, integer is everything
+// p12 <== NORMAL, fraction part and integer part
+{ .mii
+(p13) cmp.lt.unc p11,p10 = modf_exp, modf_GR_FFFF
+ nop.i 999
+ nop.i 999 ;;
+}
+
+// Is x inf? p6 if inf, p7 if nan
+{ .mfb
+(p10) cmp.ge.unc p9,p12 = modf_exp, modf_GR_no_frac
+(p6) fclass.m.unc p6,p7 = f8, 0x23
+(p8) br.cond.spnt MODF_DENORM ;;
+}
+
+MODF_COMMON:
+// For HUGE set fraction to signed 0
+{ .mfi
+ nop.m 999
+(p9) fmerge.s f8 = f8,f0
+ nop.i 999
+}
+// For HUGE set integer part to normalized input
+{ .mfi
+ nop.m 999
+(p9) fnorm.d.s0 MODF_INTEGER_PART = MODF_NORM_F8
+ nop.i 999 ;;
+}
+
+// For SMALL set fraction to normalized input, integer part to signed 0
+{ .mfi
+ nop.m 999
+(p11) fmerge.s MODF_INTEGER_PART = f8,f0
+ nop.i 999
+}
+{ .mfi
+ nop.m 999
+(p11) fnorm.d.s0 f8 = MODF_NORM_F8
+ nop.i 999 ;;
+}
+
+// For NORMAL float the integer part
+{ .mfi
+ nop.m 999
+(p12) fcvt.xf MODF_INTEGER_PART = MODF_INT_INTEGER_PART
+ nop.i 999 ;;
+}
+
+// If x inf set integer part to INF, fraction to signed 0
+{ .mfi
+(p6) stfd [r33] = MODF_NORM_F8
+(p6) fmerge.s f8 = f8,f0
+ nop.i 999 ;;
+}
+
+// If x nan set integer and fraction parts to NaN (quietized)
+{ .mfi
+(p7) stfd [r33] = MODF_NORM_F8
+(p7) fmerge.s f8 = MODF_NORM_F8, MODF_NORM_F8
+ nop.i 999 ;;
+}
+
+{ .mmi
+(p9) stfd [r33] = MODF_INTEGER_PART
+ nop.m 999
+ nop.i 999 ;;
+}
+
+// For NORMAL compute fraction part
+{ .mfi
+(p11) stfd [r33] = MODF_INTEGER_PART
+(p12) fms.d.s0 f8 = MODF_NORM_F8,f1, MODF_INTEGER_PART
+ nop.i 999 ;;
+}
+
+// For NORMAL test if fraction part is zero; if so append correct sign
+{ .mfi
+ nop.m 999
+(p12) fcmp.eq.unc.s0 p7,p0 = MODF_NORM_F8, MODF_INTEGER_PART
+ nop.i 999 ;;
+}
+
+{ .mfi
+(p12) stfd [r33] = MODF_INTEGER_PART
+ nop.f 999
+ nop.i 999 ;;
+}
+
+// For NORMAL if fraction part is zero append sign of input
+{ .mfb
+ nop.m 999
+(p7) fmerge.s f8 = MODF_NORM_F8, f0
+ br.ret.sptk b0 ;;
+}
+
+MODF_DENORM:
+// If x unorm get signexp from normalized input
+// If x unorm get integer part from normalized input
+{ .mfi
+ getf.exp modf_signexp = MODF_NORM_F8
+ fcvt.fx.trunc.s1 MODF_INT_INTEGER_PART = MODF_NORM_F8
+ nop.i 999 ;;
+}
+
+// If x unorm mask to get exponent
+{ .mmi
+ and modf_exp = modf_17_ones, modf_signexp ;;
+ cmp.lt.unc p11,p10 = modf_exp, modf_GR_FFFF
+ nop.i 999 ;;
+}
+
+{ .mfb
+(p10) cmp.ge.unc p9,p12 = modf_exp, modf_GR_no_frac
+ nop.f 999
+ br.cond.spnt MODF_COMMON ;;
+}
+
+GLOBAL_LIBM_END(modf)