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authorUlrich Drepper <drepper@redhat.com>2004-12-22 20:10:10 +0000
committerUlrich Drepper <drepper@redhat.com>2004-12-22 20:10:10 +0000
commita334319f6530564d22e775935d9c91663623a1b4 (patch)
treeb5877475619e4c938e98757d518bb1e9cbead751 /sysdeps/ia64/fpu/e_fmodl.S
parent0ecb606cb6cf65de1d9fc8a919bceb4be476c602 (diff)
downloadglibc-a334319f6530564d22e775935d9c91663623a1b4.tar.gz
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(CFLAGS-tst-align.c): Add -mpreferred-stack-boundary=4.
Diffstat (limited to 'sysdeps/ia64/fpu/e_fmodl.S')
-rw-r--r--sysdeps/ia64/fpu/e_fmodl.S972
1 files changed, 445 insertions, 527 deletions
diff --git a/sysdeps/ia64/fpu/e_fmodl.S b/sysdeps/ia64/fpu/e_fmodl.S
index 3e87eb090f..85c9f6ef82 100644
--- a/sysdeps/ia64/fpu/e_fmodl.S
+++ b/sysdeps/ia64/fpu/e_fmodl.S
@@ -1,10 +1,11 @@
 .file "fmodl.s"
 
-
-// Copyright (c) 2000 - 2004, Intel Corporation
+// Copyright (C) 2000, 2001, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
+// Bob Norin, Shane Story, and Ping Tak Peter Tang of the Computational
+// Software Lab, Intel Corporation.
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +21,7 @@
 // * 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
@@ -35,638 +36,555 @@
 //
 // 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.
+// http://developer.intel.com/opensource.
 //
 // 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
+// 2/02/00  Initial version
+// 3/02/00  New Algorithm
+// 4/04/00  Unwind support added
+// 8/15/00  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
 //
 // API
 //====================================================================
-// long double fmodl(long double, long double);
+// 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
+//  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)
+// 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).
+//     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
 //====================================================================
+// Predicate registers: p6-p11
+// General registers:   r2,r29,r32 (ar.pfs), r33-r39
+// Floating point registers: f6-f15
 
-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
+#include "libm_support.h"
 
 .section .text
-GLOBAL_IEEE754_ENTRY(fmodl)
 
-// inputs in f8, f9
-// result in f8
+GR_SAVE_B0                    = r33
+GR_SAVE_PFS                   = r34
+GR_SAVE_GP                    = r35 
+GR_SAVE_SP                    = r36
 
-{ .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
-}
-;;
+GR_Parameter_X                = r37
+GR_Parameter_Y                = r38
+GR_Parameter_RESULT           = r39
+GR_Parameter_TAG              = r40
 
-{ .mfi
-       setf.exp FR_SMALLBIAS = GR_SMALLBIASEXP
-       // (1) y0
-       frcpa.s1 FR_Y_INV0, p6 = FR_ABS_A, FR_ABS_B
-       nop.i 0
-}
-;;
+FR_X             = f10
+FR_Y             = f9
+FR_RESULT        = f8
 
-{ .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
-}
-;;
+.proc fmodl#
+.align 32
+.global fmodl#
+.align 32
 
-{ .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
-}
-;;
+fmodl:
+#ifdef _LIBC
+.global __ieee754_fmodl
+.type __ieee754_fmodl,@function
+__ieee754_fmodl:
+#endif
+// inputs in f8, f9
+// result in f8
 
-// 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
+  alloc r32=ar.pfs,1,4,4,0
+  // f6=|a|
+  fmerge.s f6=f0,f8
+  mov r2 = 0x0ffdd
 }
-;;
-
-// set p7 if b +/-NAN, +/-inf, +/-0
-{ .mfi
-       nop.m 0
-       // pseudo-NaN ?
- (p10) fclass.nm p7, p0 = f9, 0xff
-       nop.i 0
+  {.mfi
+  getf.sig r29=f9
+  // f7=|b|
+  fmerge.s f7=f0,f9
+  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
-}
-;;
+  setf.exp f11 = r2
+  // (1) y0
+  frcpa.s1 f10,p6=f6,f7
+  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
+// eliminate special cases
+{.mmi
+nop.m 0
+nop.m 0
+// y pseudo-zero ?
+cmp.eq p7,p10=r29,r0;;
 }
-;;
 
+// Y +-NAN, +-inf, +-0?     p7
 { .mfi
-       nop.m 0
-       // normalize a (if |a|<|b|)
- (p8)  fma.s0 f8 = f8, f1, f0
-       nop.i 0
+      nop.m 999
+(p10)  fclass.m  p7,p10 = f9, 0xe7           
+      nop.i 999;;
 }
-{ .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
-}
-;;
 
+// qnan snan inf norm     unorm 0 -+
+// 1    1    1   0        0     0 11
+// e                      3
+// X +-NAN, +-inf, ?        p9
 
 { .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
+      nop.m 999
+(p0)  fclass.m.unc  p9,p11 = f8, 0xe3           
+      nop.i 999 
 }
-;;
 
+// |x| < |y|? Return x p8
 { .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
-}
+      nop.m 999
+(p10)  fcmp.lt.unc.s1 p8,p0 = f6,f7             
+      nop.i 999 ;;
+}
+
+  { .mfi
+  mov r2=0x1001f
+  // (2) q0=a*y0
+  (p6) fma.s1 f13=f6,f10,f0
+  nop.i 0
+} { .mfi
+  nop.m 0
+  // (3) e0 = 1 - b * y0
+  (p6) fnma.s1 f12=f7,f10,f1
+  nop.i 0;;
+} 
+
+// Y +-NAN, +-inf, +-0?     p7
+{ .mfi
+      nop.m 999
+	  // pseudo-NaN ?
+(p10)  fclass.nm  p7,p0 = f9, 0xff           
+      nop.i 999
+}
+
+// qnan snan inf norm     unorm 0 -+
+// 1    1    1   0        0     0 11
+// e                      3
+// X +-NAN, +-inf, ?        p9
+
+{ .mfi
+      nop.m 999
+(p11)  fclass.nm  p9,p0 = f8, 0xff          
+      nop.i 999;;
+}
+
+{ .mfi
+  nop.m 0
+  //  y denormal ? set D flag (if |x|<|y|)
+  (p8) fnma.s0 f10=f9,f1,f9
+  nop.i 0;;
+}
+
+
+{.mfi
+  nop.m 0
+  // normalize x (if |x|<|y|)
+  (p8) fma.s0 f8=f8,f1,f0
+  nop.i 0
+}
+{.bbb
+  (p9) br.cond.spnt L(FMOD_X_NAN_INF)
+  (p7) br.cond.spnt L(FMOD_Y_NAN_INF_ZERO)
+  // if |x|<|y|, return
+  (p8) br.ret.spnt    b0;;
+}
+
+  {.mfi 
+  nop.m 0
+  // x denormal ? set D flag
+  fnma.s0 f32=f6,f1,f6
+  nop.i 0
+} 
+{.mfi
+  nop.m 0
+  // y denormal ? set D flag
+  fnma.s0 f33=f7,f1,f7
+  nop.i 0;;
+}
+
+  {.mfi
+  // f15=2^32
+  setf.exp f15=r2
+  // (4) q1=q0+e0*q0
+  (p6) fma.s1 f13=f12,f13,f13
+  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
-}
-;;
+  nop.m 0
+  // (5) e1 = e0 * e0 + 2^-34
+  (p6) fma.s1 f14=f12,f12,f11
+  nop.i 0;;
+} 
+{.mlx
+  nop.m 0
+  movl r2=0x33a00000;;
+} 
+{ .mfi
+  nop.m 0
+  // (6) y1 = y0 + e0 * y0
+  (p6) fma.s1 f10=f12,f10,f10
+  nop.i 0;;
+} 
+{.mfi
+  // set f12=1.25*2^{-24}
+  setf.s f12=r2
+  // (7) q2=q1+e1*q1
+  (p6) fma.s1 f13=f13,f14,f13
+  nop.i 0;;
+} 
+{.mfi
+  nop.m 0
+  fmerge.s f9=f8,f9
+  nop.i 0
+} 
+{ .mfi
+  nop.m 0
+  // (8) y2 = y1 + e1 * y1
+  (p6) fma.s1 f10=f14,f10,f10
+  // set p6=0, p10=0
+  cmp.ne.and p6,p10=r0,r0;;
+} 
 
-{ .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
+L(loop64):
+  {.mfi
+  nop.m 0
+  // compare q2, 2^32
+  fcmp.lt.unc.s1 p8,p7=f13,f15
+  nop.i 0
+}
+  {.mfi
+  nop.m 0
+  // will truncate quotient to integer, if exponent<32 (in advance)
+  fcvt.fx.trunc.s1 f11=f13
+  nop.i 0;;
+}
+  {.mfi
+  nop.m 0
+  // if exponent>32, round quotient to single precision (perform in advance)
+  fma.s.s1 f13=f13,f1,f0
+  nop.i 0;;
+}
+
+
+  {.mfi
+  nop.m 0
+  // set f12=sgn(a)
+  (p8) fmerge.s f12=f8,f1
+  nop.i 0
+}
+  {.mfi
+  nop.m 0
+  // normalize truncated quotient
+  (p8) fcvt.xf f13=f11
+  nop.i 0;;
+}  
+  { .mfi
+  nop.m 0
+  // calculate remainder (assuming f13=RZ(Q))
+  (p7) fnma.s1 f14=f13,f7,f6
+  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 f11=f13,f12,f13
+  nop.i 0;;
+}
+
+  {.mfi
+  nop.m 0
+  // (p8) calculate remainder (82-bit format)
+  (p8) fnma.s1 f11=f13,f7,f6
+  nop.i 0
+}
+  {.mfi
+  nop.m 0
+  // (p7) calculate remainder (assuming f11=RZ(Q))
+  (p7) fnma.s1 f6=f11,f7,f6
+  nop.i 0;;
+}
+
+
+  {.mfi
+  nop.m 0
+  // Final iteration (p8): is f6 the correct remainder (quotient was not overestimated) ?
+  (p8) fcmp.lt.unc.s1 p6,p10=f11,f0
+  nop.i 0;;
+}
+  {.mfi
+  nop.m 0
+  // get new quotient estimation: a'*y2
+  (p7) fma.s1 f13=f14,f10,f0
+  nop.i 0
+}
+  {.mfb
+  nop.m 0
+  // was f13=RZ(Q) ? (then new remainder f14>=0)
+  (p7) fcmp.lt.unc.s1 p7,p9=f14,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 f9=|b|*sgn(a), f12=sgn(a)
+  (p6) fma.s0 f8=f11,f12,f9
+  nop.b 0
+}
+  {.mfb
+  nop.m 0
+  // set correct sign of result before returning: f12=sgn(a)
+  (p10) fma.s0 f8=f11,f12,f0
+  (p8) br.ret.sptk b0;;
+}
+  {.mfi
+  nop.m 0
+  // if f13!=RZ(Q), get alternative quotient estimation: a''*y2
+  (p7) fma.s1 f13=f6,f10,f0
+  nop.i 0
+}
+  {.mfb
+  nop.m 0
+  // if f14 was RZ(Q), set remainder to f14
+  (p9) mov f6=f14
+  br.cond.sptk L(loop64);;
+}
+
+
+
+L(FMOD_X_NAN_INF): 
+
+// Y zero ?
+{.mfi 
+  nop.m 0
+  fma.s1 f10=f9,f1,f0
+  nop.i 0;;
+}
+{.mfi
+ nop.m 0
+ fcmp.eq.unc.s1 p11,p0=f10,f0
+ nop.i 0;;
+}
+{.mib
+  nop.m 0
+  nop.i 0
+  // if Y zero
+  (p11) br.cond.spnt L(FMOD_Y_ZERO);;                        
+}
+
+// X infinity? Return QNAN indefinite
+{ .mfi
+	 // set p7 t0 0
+	 cmp.ne p7,p0=r0,r0
+(p0) fclass.m.unc  p8,p9 = f8, 0x23 
+     nop.i 999;; 
 }
-;;
-
-{ .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
+// Y NaN ?
+{.mfi
+     nop.m 999
+(p8) fclass.m p9,p8=f9,0xc3
+	 nop.i 0;;
 }
-;;
-
-{ .mfi
-       nop.m 0
-       fma.s0 f8 = f8, f1, f0
-       nop.i 0
+// Y not pseudo-zero ? (r29 holds significand)
+{.mii
+     nop.m 999
+(p8) cmp.ne p7,p0=r29,r0
+     nop.i 0;;
 }
+{.mfi
+	nop.m 999
+(p8)  frcpa.s0 f8,p0 = f8,f8           
+    nop.i 0
+} 
 { .mfi
-       nop.m 0
- (p10) fclass.m p10, p0 = f9, 0x07 // Test x = nan, and y = zero
-       nop.i 0
+     nop.m 999
+	// also set Denormal flag if necessary
+(p7) fnma.s0 f9=f9,f1,f9
+     nop.i 999 ;;
 }
-;;
 
 { .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
+      nop.m 999
+(p8)  fma.s0 f8=f8,f1,f0                     
+	  nop.b 999 ;;                        
 }
-;;
 
 { .mfb
-       nop.m 0
- (p8)  fma.s0 f8 = f8, f1, f0
-       nop.b 0
+      nop.m 999
+(p9)  frcpa.s0 f8,p7=f8,f9                     
+      br.ret.sptk    b0 ;;                        
 }
-;;
 
-{ .mfb
-       nop.m 0
- (p9)  frcpa.s0 f8, p7 = f8, f9
-       br.ret.sptk b0
-}
-;;
 
-FMOD_B_NAN_INF_ZERO:
-// b INF
+L(FMOD_Y_NAN_INF_ZERO): 
+// Y INF
 { .mfi
-       nop.m 0
-       fclass.m.unc p7, p0 = f9, 0x23
-       nop.i 0
+      nop.m 999
+(p0)  fclass.m.unc  p7,p0 = f9, 0x23           
+      nop.i 999 ;;
 }
-;;
 
 { .mfb
-       nop.m 0
- (p7)  fma.s0 f8 = f8, f1, f0
- (p7)  br.ret.spnt b0
+      nop.m 999
+(p7)  fma f8=f8,f1,f0                     
+(p7)  br.ret.spnt    b0 ;;                        
 }
-;;
 
-// b NAN?
+// Y NAN?
 { .mfi
-       nop.m 0
-       fclass.m.unc p9, p10 = f9, 0xc3
-       nop.i 0
+      nop.m 999
+(p0)  fclass.m.unc  p9,p10 = f9, 0xc3           
+      nop.i 999 ;;
 }
-;;
-
 { .mfi
-       nop.m 0
- (p10) fclass.nm p9, p0 = f9, 0xff
-       nop.i 0
+      nop.m 999
+(p10)  fclass.nm  p9,p0 = f9, 0xff           
+      nop.i 999 ;;
 }
-;;
 
 { .mfb
-       nop.m 0
- (p9)  fma.s0 f8 = f9, f1, f0
- (p9)  br.ret.spnt b0
+      nop.m 999
+(p9)  fma f8=f9,f1,f0                     
+(p9)  br.ret.spnt    b0 ;;                        
 }
-;;
 
-FMOD_B_ZERO:
+L(FMOD_Y_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
+{.mfi
+  nop.m 0
+  // set Invalid
+  frcpa f12,p0=f0,f0
+  nop.i 0
 }
-;;
-
-// a NAN?
+// X NAN?
 { .mfi
-       nop.m 0
-       fclass.m.unc p9, p10 = f8, 0xc3
-       nop.i 0
+      nop.m 999
+(p0)  fclass.m.unc  p9,p10 = f8, 0xc3           
+      nop.i 999 ;;
 }
-;;
-
 { .mfi
-       alloc GR_ARPFS = ar.pfs, 1, 4, 4, 0
- (p10) fclass.nm p9, p10 = f8, 0xff
-       nop.i 0
+      nop.m 999
+(p10)  fclass.nm  p9,p10 = f8, 0xff           
+      nop.i 999 ;;
 }
-;;
 
-{ .mfi
-       nop.m 0
- (p9)  frcpa.s0 FR_TMP2, p7 = f8, f0
-       nop.i 0
+{.mfi
+ nop.m 999
+ (p9) frcpa f11,p7=f8,f0
+ nop.i 0;;
 }
-;;
+
 
 { .mfi
-       nop.m 0
- (p10) frcpa.s0 FR_TMP2, p7 = f9, f9
-       mov GR_Parameter_TAG = 120
+      nop.m 999
+(p10) frcpa  f11,p7 = f9,f9           
+(p0)  mov    GR_Parameter_TAG = 120 ;;                                 
 }
-;;
 
 { .mfi
-       nop.m 0
-       fmerge.s FR_X = f8, f8
-       nop.i 0
+      nop.m 999
+(p0)  fmerge.s      f10 = f8, f8             
+      nop.i 999
 }
+
 { .mfb
-       nop.m 0
-       fma.s0 f8 = FR_TMP2, f1, f0
-       br.sptk __libm_error_region
+      nop.m 999
+(p0)  fma f8=f11,f1,f0                     
+(p0)  br.sptk __libm_error_region;; 
 }
-;;
 
-GLOBAL_IEEE754_END(fmodl)
+.endp fmodl
+ASM_SIZE_DIRECTIVE(fmodl)
+ASM_SIZE_DIRECTIVE(__ieee754_fmodl)
 
-LOCAL_LIBM_ENTRY(__libm_error_region)
+
+.proc __libm_error_region
+__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
+        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
-}
-;;
-
+.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
-}
-;;
-
+        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
+        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
-}
-;;
-
+        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
-}
-;;
-
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
 { .mmi
-       ldfe f8 = [ GR_Parameter_RESULT ] // Get return result off stack
+        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
-}
-;;
-
+        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
-}
-;;
+        mov   gp = GR_SAVE_GP                  // Restore gp 
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};; 
+
+.endp __libm_error_region
+ASM_SIZE_DIRECTIVE(__libm_error_region)
+
 
-LOCAL_LIBM_END(__libm_error_region)
 
-.type __libm_error_support#, @function
+.type   __libm_error_support#,@function
 .global __libm_error_support#