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-.file "fmodl.s"
-
-
-// Copyright (c) 2000 - 2004, 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
-// 03/02/00 New Algorithm
-// 04/04/00 Unwind support added
-// 08/15/00 Bundle added after call to __libm_error_support to properly
-// set [ the previously overwritten ] GR_Parameter_RESULT.
-// 11/28/00 Set FR_Y to f9
-// 03/11/02 Fixed flags for fmodl(qnan, zero)
-// 05/20/02 Cleaned up namespace and sf0 syntax
-// 02/10/03 Reordered header:.section,.global,.proc,.align
-// 04/28/03 Fix: fmod(sNaN, 0) no longer sets errno
-// 11/23/04 Reformatted routine and improved speed
-//
-// API
-//====================================================================
-// long double fmodl(long double, long double);
-//
-// Overview of operation
-//====================================================================
-// fmod(a, b)= a-i*b,
-// where i is an integer such that, if b!= 0,
-// |i|<|a/b| and |a/b-i|<1
-//
-// Algorithm
-//====================================================================
-// a). if |a|<|b|, return a
-// b). get quotient and reciprocal overestimates accurate to
-// 33 bits (q2, y2)
-// c). if the exponent difference (exponent(a)-exponent(b))
-// is less than 32, truncate quotient to integer and
-// finish in one iteration
-// d). if exponent(a)-exponent(b)>= 32 (q2>= 2^32)
-// round quotient estimate to single precision (k= RN(q2)),
-// calculate partial remainder (a'= a-k*b),
-// get quotient estimate (a'*y2), and repeat from c).
-//
-// Registers used
-//====================================================================
-
-GR_SMALLBIASEXP     = r2
-GR_2P32             = r3
-GR_SMALLBIASEXP     = r20
-GR_ROUNDCONST       = r21
-GR_SIG_B            = r22
-GR_ARPFS            = r23
-GR_TMP1             = r24
-GR_TMP2             = r25
-GR_TMP3             = r26
-
-GR_SAVE_B0          = r33
-GR_SAVE_PFS         = r34
-GR_SAVE_GP          = r35
-GR_SAVE_SP          = r36
-
-GR_Parameter_X      = r37
-GR_Parameter_Y      = r38
-GR_Parameter_RESULT = r39
-GR_Parameter_TAG    = r40
-
-FR_X                = f10
-FR_Y                = f9
-FR_RESULT           = f8
-
-FR_ABS_A            = f6
-FR_ABS_B            = f7
-FR_Y_INV            = f10
-FR_SMALLBIAS        = f11
-FR_E0               = f12
-FR_Q                = f13
-FR_E1               = f14
-FR_2P32             = f15
-FR_TMPX             = f32
-FR_TMPY             = f33
-FR_ROUNDCONST       = f34
-FR_QINT             = f35
-FR_QRND24           = f36
-FR_NORM_B           = f37
-FR_TMP              = f38
-FR_TMP2             = f39
-FR_DFLAG            = f40
-FR_Y_INV0           = f41
-FR_Y_INV1           = f42
-FR_Q0               = f43
-FR_Q1               = f44
-FR_QINT_Z           = f45
-FR_QREM             = f46
-FR_B_SGN_A          = f47
-
-.section .text
-GLOBAL_IEEE754_ENTRY(fmodl)
-
-// inputs in f8, f9
-// result in f8
-
-{ .mfi
-       getf.sig GR_SIG_B = f9
-       // FR_ABS_A = |a|
-       fmerge.s FR_ABS_A = f0, f8
-       mov GR_SMALLBIASEXP = 0x0ffdd
-}
-{ .mfi
-       nop.m 0
-       // FR_ABS_B = |b|
-       fmerge.s FR_ABS_B = f0, f9
-       nop.i 0
-}
-;;
-
-{ .mfi
-       setf.exp FR_SMALLBIAS = GR_SMALLBIASEXP
-       // (1) y0
-       frcpa.s1 FR_Y_INV0, p6 = FR_ABS_A, FR_ABS_B
-       nop.i 0
-}
-;;
-
-{ .mlx
-       nop.m 0
-       movl GR_ROUNDCONST = 0x33a00000
-}
-;;
-
-// eliminate special cases
-{ .mmi
-       nop.m 0
-       nop.m 0
-       // y pseudo-zero ?
-       cmp.eq p7, p10 = GR_SIG_B, r0
-}
-;;
-
-// set p7 if b +/-NAN, +/-inf, +/-0
-{ .mfi
-       nop.m 0
- (p10) fclass.m p7, p10 = f9, 0xe7
-       nop.i 0
-}
-;;
-
-{ .mfi
-       mov GR_2P32 = 0x1001f
-       // (2) q0 = a*y0
- (p6)  fma.s1 FR_Q0 = FR_ABS_A, FR_Y_INV0, f0
-       nop.i 0
-}
-{ .mfi
-       nop.m 0
-       // (3) e0 = 1 - b * y0
- (p6)  fnma.s1 FR_E0 = FR_ABS_B, FR_Y_INV0, f1
-       nop.i 0
-}
-;;
-
-// set p9 if a +/-NAN, +/-inf
-{ .mfi
-       nop.m 0
-       fclass.m.unc p9, p11 = f8, 0xe3
-       nop.i 0
-}
-       // |a| < |b|? Return a, p8=1
-{ .mfi
-       nop.m 0
- (p10) fcmp.lt.unc.s1 p8, p0 = FR_ABS_A, FR_ABS_B
-       nop.i 0
-}
-;;
-
-// set p7 if b +/-NAN, +/-inf, +/-0
-{ .mfi
-       nop.m 0
-       // pseudo-NaN ?
- (p10) fclass.nm p7, p0 = f9, 0xff
-       nop.i 0
-}
-;;
-
-// set p9 if a is +/-NaN, +/-Inf
-{ .mfi
-       nop.m 0
- (p11) fclass.nm p9, p0 = f8, 0xff
-       nop.i 0
-}
-{ .mfi
-       nop.m 0
-       // b denormal ? set D flag (if |a|<|b|)
- (p8)  fnma.s0 FR_DFLAG = f9, f1, f9
-       nop.i 0
-}
-;;
-
-{ .mfi
-       // FR_2P32 = 2^32
-       setf.exp FR_2P32 = GR_2P32
-       // (4) q1 = q0+e0*q0
- (p6)  fma.s1 FR_Q1 = FR_E0, FR_Q0, FR_Q0
-       nop.i 0
-}
-{ .mfi
-       nop.m 0
-       // (5) e1 = e0 * e0 + 2^-34
- (p6)  fma.s1 FR_E1 = FR_E0, FR_E0, FR_SMALLBIAS
-       nop.i 0
-}
-;;
-
-{ .mfi
-       nop.m 0
-       // normalize a (if |a|<|b|)
- (p8)  fma.s0 f8 = f8, f1, f0
-       nop.i 0
-}
-{ .bbb
- (p9) br.cond.spnt FMOD_A_NAN_INF
- (p7) br.cond.spnt FMOD_B_NAN_INF_ZERO
-       // if |a|<|b|, return
- (p8) br.ret.spnt b0
-}
-;;
-
-
-{ .mfi
-       nop.m 0
-       // (6) y1 = y0 + e0 * y0
- (p6)  fma.s1 FR_Y_INV1 = FR_E0, FR_Y_INV0, FR_Y_INV0
-       nop.i 0
-}
-;;
-
-{ .mfi
-       nop.m 0
-       // a denormal ? set D flag
-       // b denormal ? set D flag
-       fcmp.eq.s0 p12,p0 = FR_ABS_A, FR_ABS_B
-       nop.i 0
-}
-{ .mfi
-       // set FR_ROUNDCONST = 1.25*2^{-24}
-       setf.s FR_ROUNDCONST = GR_ROUNDCONST
-       // (7) q2 = q1+e1*q1
- (p6)  fma.s1 FR_Q = FR_Q1, FR_E1, FR_Q1
-       nop.i 0
-}
-;;
-
-{ .mfi
-       nop.m 0
-       fmerge.s FR_B_SGN_A = f8, f9
-       nop.i 0
-}
-{ .mfi
-       nop.m 0
-       // (8) y2 = y1 + e1 * y1
- (p6)  fma.s1 FR_Y_INV = FR_E1, FR_Y_INV1, FR_Y_INV1
-       // set p6 = 0, p10 = 0
-       cmp.ne.and p6, p10 = r0, r0
-}
-;;
-
-//   will compute integer quotient bits (24 bits per iteration)
-.align 32
-loop64:
-{ .mfi
-       nop.m 0
-       // compare q2, 2^32
-       fcmp.lt.unc.s1 p8, p7 = FR_Q, FR_2P32
-       nop.i 0
-}
-{ .mfi
-       nop.m 0
-       // will truncate quotient to integer, if exponent<32 (in advance)
-       fcvt.fx.trunc.s1 FR_QINT = FR_Q
-       nop.i 0
-}
-;;
-
-{ .mfi
-       nop.m 0
-       // if exponent>32 round quotient to single precision (perform in advance)
-       fma.s.s1 FR_QRND24 = FR_Q, f1, f0
-       nop.i 0
-}
-;;
-
-{ .mfi
-       nop.m 0
-       // set FR_ROUNDCONST = sgn(a)
- (p8)  fmerge.s FR_ROUNDCONST = f8, f1
-       nop.i 0
-}
-{ .mfi
-       nop.m 0
-       // normalize truncated quotient
- (p8)  fcvt.xf FR_QRND24 = FR_QINT
-       nop.i 0
-}
-;;
-
-{ .mfi
-       nop.m 0
-       // calculate remainder (assuming FR_QRND24 = RZ(Q))
- (p7)  fnma.s1 FR_E1 = FR_QRND24, FR_ABS_B, FR_ABS_A
-       nop.i 0
-}
-{ .mfi
-       nop.m 0
-       // also if exponent>32, round quotient to single precision
-       // and subtract 1 ulp: q = q-q*(1.25*2^{-24})
- (p7)  fnma.s.s1 FR_QINT_Z = FR_QRND24, FR_ROUNDCONST, FR_QRND24
-       nop.i 0
-}
-;;
-
-{ .mfi
-       nop.m 0
-       // (p8) calculate remainder (82-bit format)
- (p8)  fnma.s1 FR_QREM = FR_QRND24, FR_ABS_B, FR_ABS_A
-       nop.i 0
-}
-{ .mfi
-       nop.m 0
-       // (p7) calculate remainder (assuming FR_QINT_Z = RZ(Q))
- (p7)  fnma.s1 FR_ABS_A = FR_QINT_Z, FR_ABS_B, FR_ABS_A
-       nop.i 0
-}
-;;
-
-{ .mfi
-       nop.m 0
-       // Final iteration (p8): is FR_ABS_A the correct remainder 
-       // (quotient was not overestimated) ?
- (p8)  fcmp.lt.unc.s1 p6, p10 = FR_QREM, f0
-       nop.i 0
-}
-;;
-
-{ .mfi
-       nop.m 0
-       // get new quotient estimation: a'*y2
- (p7)  fma.s1 FR_Q = FR_E1, FR_Y_INV, f0
-       nop.i 0
-}
-{ .mfb
-       nop.m 0
-       // was FR_Q = RZ(Q) ? (then new remainder FR_E1> = 0)
- (p7)  fcmp.lt.unc.s1 p7, p9 = FR_E1, f0
-       nop.b 0
-}
-;;
-
-.pred.rel "mutex", p6, p10
-{ .mfb
-       nop.m 0
-       // add b to estimated remainder (to cover the case when the quotient was
-       // overestimated)
-       // also set correct sign by using 
-       // FR_B_SGN_A = |b|*sgn(a), FR_ROUNDCONST = sgn(a)
- (p6)  fma.s0 f8 = FR_QREM, FR_ROUNDCONST, FR_B_SGN_A
-       nop.b 0
-}
-{ .mfb
-       nop.m 0
-       // set correct sign of result before returning: FR_ROUNDCONST = sgn(a)
- (p10) fma.s0 f8 = FR_QREM, FR_ROUNDCONST, f0
- (p8)  br.ret.sptk b0
-}
-;;
-
-{ .mfi
-       nop.m 0
-       // if f13! = RZ(Q), get alternative quotient estimation: a''*y2
- (p7)  fma.s1 FR_Q = FR_ABS_A, FR_Y_INV, f0
-       nop.i 0
-}
-{ .mfb
-       nop.m 0
-       // if FR_E1 was RZ(Q), set remainder to FR_E1
- (p9)  fma.s1 FR_ABS_A = FR_E1, f1, f0
-       br.cond.sptk loop64
-}
-;;
-
-FMOD_A_NAN_INF:
-
-// b zero ?
-{ .mfi
-       nop.m 0
-       fclass.m p10, p0 = f8, 0xc3 // Test a = nan
-       nop.i 0
-}
-{ .mfi
-       nop.m 0
-       fma.s1 FR_NORM_B = f9, f1, f0
-       nop.i 0
-}
-;;
-
-{ .mfi
-       nop.m 0
-       fma.s0 f8 = f8, f1, f0
-       nop.i 0
-}
-{ .mfi
-       nop.m 0
- (p10) fclass.m p10, p0 = f9, 0x07 // Test x = nan, and y = zero
-       nop.i 0
-}
-;;
-
-{ .mfb
-       nop.m 0
-       fcmp.eq.unc.s1 p11, p0 = FR_NORM_B, f0
- (p10) br.ret.spnt b0 // Exit with result = a if a = nan and b = zero
-}
-;;
-
-{ .mib
-       nop.m 0
-       nop.i 0
-       // if Y zero
- (p11) br.cond.spnt FMOD_B_ZERO
-}
-;;
-
-// a= infinity? Return QNAN indefinite
-{ .mfi
-       // set p7 t0 0
-       cmp.ne p7, p0 = r0, r0
-       fclass.m.unc p8, p9 = f8, 0x23
-       nop.i 0
-}
-;;
-
-// b NaN ?
-{ .mfi
-       nop.m 0
- (p8)  fclass.m p9, p8 = f9, 0xc3
-       nop.i 0
-}
-;;
-
-// b not pseudo-zero ? (GR_SIG_B holds significand)
-{ .mii
-       nop.m 0
- (p8)  cmp.ne p7, p0 = GR_SIG_B, r0
-       nop.i 0
-}
-;;
-
-{ .mfi
-       nop.m 0
- (p8)  frcpa.s0 f8, p0 = f8, f8
-       nop.i 0
-}
-{ .mfi
-       nop.m 0
-       // also set Denormal flag if necessary
- (p7)  fnma.s0 f9 = f9, f1, f9
-       nop.i 0
-}
-;;
-
-{ .mfb
-       nop.m 0
- (p8)  fma.s0 f8 = f8, f1, f0
-       nop.b 0
-}
-;;
-
-{ .mfb
-       nop.m 0
- (p9)  frcpa.s0 f8, p7 = f8, f9
-       br.ret.sptk b0
-}
-;;
-
-FMOD_B_NAN_INF_ZERO:
-// b INF
-{ .mfi
-       nop.m 0
-       fclass.m.unc p7, p0 = f9, 0x23
-       nop.i 0
-}
-;;
-
-{ .mfb
-       nop.m 0
- (p7)  fma.s0 f8 = f8, f1, f0
- (p7)  br.ret.spnt b0
-}
-;;
-
-// b NAN?
-{ .mfi
-       nop.m 0
-       fclass.m.unc p9, p10 = f9, 0xc3
-       nop.i 0
-}
-;;
-
-{ .mfi
-       nop.m 0
- (p10) fclass.nm p9, p0 = f9, 0xff
-       nop.i 0
-}
-;;
-
-{ .mfb
-       nop.m 0
- (p9)  fma.s0 f8 = f9, f1, f0
- (p9)  br.ret.spnt b0
-}
-;;
-
-FMOD_B_ZERO:
-// Y zero? Must be zero at this point
-// because it is the only choice left.
-// Return QNAN indefinite
-
-{ .mfi
-       nop.m 0
-       // set Invalid
-       frcpa.s0 FR_TMP, p0 = f0, f0
-       nop.i 0
-}
-;;
-
-// a NAN?
-{ .mfi
-       nop.m 0
-       fclass.m.unc p9, p10 = f8, 0xc3
-       nop.i 0
-}
-;;
-
-{ .mfi
-       alloc GR_ARPFS = ar.pfs, 1, 4, 4, 0
- (p10) fclass.nm p9, p10 = f8, 0xff
-       nop.i 0
-}
-;;
-
-{ .mfi
-       nop.m 0
- (p9)  frcpa.s0 FR_TMP2, p7 = f8, f0
-       nop.i 0
-}
-;;
-
-{ .mfi
-       nop.m 0
- (p10) frcpa.s0 FR_TMP2, p7 = f9, f9
-       mov GR_Parameter_TAG = 120
-}
-;;
-
-{ .mfi
-       nop.m 0
-       fmerge.s FR_X = f8, f8
-       nop.i 0
-}
-{ .mfb
-       nop.m 0
-       fma.s0 f8 = FR_TMP2, f1, f0
-       br.sptk __libm_error_region
-}
-;;
-
-GLOBAL_IEEE754_END(fmodl)
-
-LOCAL_LIBM_ENTRY(__libm_error_region)
-.prologue
-{ .mfi
-       add GR_Parameter_Y = -32, sp // Parameter 2 value
-       nop.f 0
-.save ar.pfs, GR_SAVE_PFS
-       mov GR_SAVE_PFS = ar.pfs     // Save ar.pfs
-}
-{ .mfi
-.fframe 64
-       add sp = -64, sp             // Create new stack
-       nop.f 0
-       mov GR_SAVE_GP = gp          // Save gp
-}
-;;
-
-{ .mmi
-       stfe [ GR_Parameter_Y ] = FR_Y, 16 // Save Parameter 2 on stack
-       add GR_Parameter_X = 16, sp  // Parameter 1 address
-.save b0, GR_SAVE_B0
-       mov GR_SAVE_B0 = b0          // Save b0
-}
-;;
-
-.body
-{ .mib
-       stfe [ GR_Parameter_X ] = FR_X // Store Parameter 1 on stack
-       add GR_Parameter_RESULT = 0, GR_Parameter_Y
-       nop.b 0                      // Parameter 3 address
-}
-{ .mib
-       stfe [ GR_Parameter_Y ] = FR_RESULT // Store Parameter 3 on stack
-       add GR_Parameter_Y = -16, GR_Parameter_Y
-       br.call.sptk b0 = __libm_error_support# // Call error handling function
-}
-;;
-
-{ .mmi
-       nop.m 0
-       nop.m 0
-       add GR_Parameter_RESULT = 48, sp
-}
-;;
-
-{ .mmi
-       ldfe f8 = [ GR_Parameter_RESULT ] // Get return result off stack
-.restore sp
-       add sp = 64, sp                   // Restore stack pointer
-       mov b0 = GR_SAVE_B0               // Restore return address
-}
-;;
-
-{ .mib
-       mov gp = GR_SAVE_GP               // Restore gp
-       mov ar.pfs = GR_SAVE_PFS          // Restore ar.pfs
-       br.ret.sptk b0                    // Return
-}
-;;
-
-LOCAL_LIBM_END(__libm_error_region)
-
-.type __libm_error_support#, @function
-.global __libm_error_support#