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-rw-r--r--sysdeps/ia64/fpu/e_fmodl.S972
1 files changed, 527 insertions, 445 deletions
diff --git a/sysdeps/ia64/fpu/e_fmodl.S b/sysdeps/ia64/fpu/e_fmodl.S
index 85c9f6e..3e87eb0 100644
--- a/sysdeps/ia64/fpu/e_fmodl.S
+++ b/sysdeps/ia64/fpu/e_fmodl.S
@@ -1,11 +1,10 @@
.file "fmodl.s"
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2004, Intel Corporation
// All rights reserved.
//
-// 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.
+// 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
@@ -21,7 +20,7 @@
// * 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
@@ -36,555 +35,638 @@
//
// Intel Corporation is the author of this code, and requests that all
// problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
//
// History
//====================================================================
-// 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
+// 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);
+// 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
-#include "libm_support.h"
+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)
-GR_SAVE_B0 = r33
-GR_SAVE_PFS = r34
-GR_SAVE_GP = r35
-GR_SAVE_SP = r36
+// inputs in f8, f9
+// result in f8
-GR_Parameter_X = r37
-GR_Parameter_Y = r38
-GR_Parameter_RESULT = r39
-GR_Parameter_TAG = r40
+{ .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
+}
+;;
-FR_X = f10
-FR_Y = f9
-FR_RESULT = f8
+{ .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
+}
+;;
-.proc fmodl#
-.align 32
-.global fmodl#
-.align 32
+// set p7 if b +/-NAN, +/-inf, +/-0
+{ .mfi
+ nop.m 0
+ (p10) fclass.m p7, p10 = f9, 0xe7
+ nop.i 0
+}
+;;
-fmodl:
-#ifdef _LIBC
-.global __ieee754_fmodl
-.type __ieee754_fmodl,@function
-__ieee754_fmodl:
-#endif
-// inputs in f8, f9
-// result in f8
+{ .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
- alloc r32=ar.pfs,1,4,4,0
- // f6=|a|
- fmerge.s f6=f0,f8
- mov r2 = 0x0ffdd
+ nop.m 0
+ fclass.m.unc p9, p11 = f8, 0xe3
+ nop.i 0
}
- {.mfi
- getf.sig r29=f9
- // f7=|b|
- fmerge.s f7=f0,f9
- 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
- setf.exp f11 = r2
- // (1) y0
- frcpa.s1 f10,p6=f6,f7
- nop.i 0;;
-}
+ nop.m 0
+ // pseudo-NaN ?
+ (p10) fclass.nm p7, p0 = f9, 0xff
+ nop.i 0
+}
+;;
-// eliminate special cases
-{.mmi
-nop.m 0
-nop.m 0
-// y pseudo-zero ?
-cmp.eq p7,p10=r29,r0;;
+// 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
}
+;;
-// Y +-NAN, +-inf, +-0? p7
{ .mfi
- nop.m 999
-(p10) fclass.m p7,p10 = f9, 0xe7
- nop.i 999;;
+ 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
+}
+;;
-// qnan snan inf norm unorm 0 -+
-// 1 1 1 0 0 0 11
-// e 3
-// X +-NAN, +-inf, ? p9
{ .mfi
- nop.m 999
-(p0) fclass.m.unc p9,p11 = f8, 0xe3
- nop.i 999
+ 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
}
+;;
-// |x| < |y|? Return x p8
{ .mfi
- 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
-}
+ 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
- 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;;
-}
+ // 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
-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;;
+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
}
-// Y NaN ?
-{.mfi
- nop.m 999
-(p8) fclass.m p9,p8=f9,0xc3
- 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
}
-// Y not pseudo-zero ? (r29 holds significand)
-{.mii
- nop.m 999
-(p8) cmp.ne p7,p0=r29,r0
- nop.i 0;;
+;;
+
+{ .mfi
+ nop.m 0
+ fma.s0 f8 = f8, f1, f0
+ nop.i 0
}
-{.mfi
- nop.m 999
-(p8) frcpa.s0 f8,p0 = f8,f8
- nop.i 0
-}
{ .mfi
- nop.m 999
- // also set Denormal flag if necessary
-(p7) fnma.s0 f9=f9,f1,f9
- nop.i 999 ;;
+ nop.m 0
+ (p10) fclass.m p10, p0 = f9, 0x07 // Test x = nan, and y = zero
+ nop.i 0
}
+;;
{ .mfb
- nop.m 999
-(p8) fma.s0 f8=f8,f1,f0
- nop.b 999 ;;
+ 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 999
-(p9) frcpa.s0 f8,p7=f8,f9
- br.ret.sptk b0 ;;
+ 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
+}
+;;
-L(FMOD_Y_NAN_INF_ZERO):
-// Y INF
+FMOD_B_NAN_INF_ZERO:
+// b INF
{ .mfi
- nop.m 999
-(p0) fclass.m.unc p7,p0 = f9, 0x23
- nop.i 999 ;;
+ nop.m 0
+ fclass.m.unc p7, p0 = f9, 0x23
+ nop.i 0
}
+;;
{ .mfb
- nop.m 999
-(p7) fma f8=f8,f1,f0
-(p7) br.ret.spnt b0 ;;
+ nop.m 0
+ (p7) fma.s0 f8 = f8, f1, f0
+ (p7) br.ret.spnt b0
}
+;;
-// Y NAN?
+// b NAN?
{ .mfi
- nop.m 999
-(p0) fclass.m.unc p9,p10 = f9, 0xc3
- nop.i 999 ;;
+ nop.m 0
+ fclass.m.unc p9, p10 = f9, 0xc3
+ nop.i 0
}
+;;
+
{ .mfi
- nop.m 999
-(p10) fclass.nm p9,p0 = f9, 0xff
- nop.i 999 ;;
+ nop.m 0
+ (p10) fclass.nm p9, p0 = f9, 0xff
+ nop.i 0
}
+;;
{ .mfb
- nop.m 999
-(p9) fma f8=f9,f1,f0
-(p9) br.ret.spnt b0 ;;
+ nop.m 0
+ (p9) fma.s0 f8 = f9, f1, f0
+ (p9) br.ret.spnt b0
}
+;;
-L(FMOD_Y_ZERO):
+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 f12,p0=f0,f0
- nop.i 0
-}
-// X NAN?
{ .mfi
- nop.m 999
-(p0) fclass.m.unc p9,p10 = f8, 0xc3
- nop.i 999 ;;
+ nop.m 0
+ // set Invalid
+ frcpa.s0 FR_TMP, p0 = f0, f0
+ nop.i 0
}
+;;
+
+// a NAN?
{ .mfi
- nop.m 999
-(p10) fclass.nm p9,p10 = f8, 0xff
- nop.i 999 ;;
+ nop.m 0
+ fclass.m.unc p9, p10 = f8, 0xc3
+ nop.i 0
}
+;;
-{.mfi
- nop.m 999
- (p9) frcpa f11,p7=f8,f0
- 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 999
-(p10) frcpa f11,p7 = f9,f9
-(p0) mov GR_Parameter_TAG = 120 ;;
+ nop.m 0
+ (p9) frcpa.s0 FR_TMP2, p7 = f8, f0
+ nop.i 0
}
+;;
{ .mfi
- nop.m 999
-(p0) fmerge.s f10 = f8, f8
- nop.i 999
+ 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 999
-(p0) fma f8=f11,f1,f0
-(p0) br.sptk __libm_error_region;;
+ nop.m 0
+ fma.s0 f8 = FR_TMP2, f1, f0
+ br.sptk __libm_error_region
}
+;;
-.endp fmodl
-ASM_SIZE_DIRECTIVE(fmodl)
-ASM_SIZE_DIRECTIVE(__ieee754_fmodl)
+GLOBAL_IEEE754_END(fmodl)
-
-.proc __libm_error_region
-__libm_error_region:
+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
+ 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
-};;
-{ .mib
- 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)
+ 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
+.type __libm_error_support#, @function
.global __libm_error_support#