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authorJakub Jelinek <jakub@redhat.com>2007-07-12 18:26:36 +0000
committerJakub Jelinek <jakub@redhat.com>2007-07-12 18:26:36 +0000
commit0ecb606cb6cf65de1d9fc8a919bceb4be476c602 (patch)
tree2ea1f8305970753e4a657acb2ccc15ca3eec8e2c /sysdeps/powerpc/powerpc64/fpu/s_nearbyintl.S
parent7d58530341304d403a6626d7f7a1913165fe2f32 (diff)
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+/* nearbyint long double.
+   IBM extended format long double version.
+   Copyright (C) 2004, 2006 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, write to the Free
+   Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+   02111-1307 USA.  */
+
+#include <sysdep.h>
+#include <math_ldbl_opt.h>
+
+	.section	".toc","aw"
+.LC0:	/* 2**52 */
+	.tc FD_43300000_0[TC],0x4330000000000000
+	.section	".text"
+
+/* long double [fp1,fp2] nearbyintl (long double x [fp1,fp2])
+   IEEE 1003.1 nearbyintl function.  nearbyintl is simular to the rintl
+   but does raise the "inexact" exception.  This implementation is
+   based on rintl but explicitly maskes the inexact exception on entry
+   and clears any pending inexact before restoring the exception mask
+   on exit.
+
+   PowerPC64 long double uses the IBM extended format which is
+   represented two 64-floating point double values. The values are
+   non-overlapping giving an effective precision of 106 bits. The first
+   double contains the high order bits of mantisa and is always rounded
+   to represent a normal rounding of long double to double. Since the
+   long double value is sum of the high and low values, the low double
+   normally has the opposite sign to compensate for the this rounding.
+
+   For long double there are two cases:
+   1) |x| < 2**52, all the integer bits are in the high double.
+      floor the high double and set the low double to -0.0.
+   2) |x| >= 2**52, Rounding involves both doubles.
+      See the comment before lable .L2 for details.
+   */
+ENTRY (__nearbyintl)
+	mffs	fp11		/* Save current FPSCR.  */
+	lfd	fp13,.LC0@toc(2)
+	fabs	fp0,fp1
+	mtfsb0  28		/* Disable "inexact" exceptions.  */
+	fsub	fp12,fp13,fp13	/* generate 0.0  */
+	fabs	fp9,fp2
+	fcmpu	cr7,fp0,fp13	/* if (fabs(x) > TWO52)  */
+	fcmpu	cr6,fp1,fp12	/* if (x > 0.0)  */
+	bnl-	cr7,.L2
+	fmr	fp2,fp12
+	bng-	cr6,.L4
+	fadd	fp1,fp1,fp13	/* x+= TWO52;  */
+	fsub	fp1,fp1,fp13	/* x-= TWO52;  */
+	b	.L9
+.L4:
+	bnl-	cr6,.L9		/* if (x < 0.0)  */
+	fsub	fp1,fp13,fp1	/* x = TWO52 - x;  */
+	fsub	fp0,fp1,fp13	/* x = - (x - TWO52);  */
+	fneg	fp1,fp0
+.L9:
+	mtfsb0	6		/* Clear any pending "inexact" exceptions.  */
+	mtfsf	0x01,fp11	/* restore exception mask.  */
+	blr
+
+/* The high double is > TWO52 so we need to round the low double and
+   perhaps the high double.  This gets a bit tricky so we use the
+   following algorithm:
+
+   tau = floor(x_high/TWO52);
+   x0 = x_high - tau;
+   x1 = x_low + tau;
+   r1 = nearbyint(x1);
+   y_high = x0 + r1;
+   y_low = r1 - tau;
+   return y;  */
+.L2:
+	fcmpu	cr7,fp9,fp13	/* if (|x_low| > TWO52)  */
+	fcmpu	cr0,fp9,fp12	/* || (|x_low| == 0.0)  */
+	bge-	cr7,.L9		/*   return x;	*/
+	beq-  cr0,.L9
+	fdiv	fp8,fp1,fp13	/* x_high/TWO52  */
+	fctidz	fp0,fp8
+	fcfid	fp8,fp0		/* tau = floor(x_high/TWO52);  */
+	fsub	fp3,fp1,fp8	/* x0 = x_high - tau;  */
+	fadd	fp4,fp2,fp8	/* x1 = x_low + tau;  */
+
+	fcmpu	cr6,fp4,fp12	/* if (x1 > 0.0)  */
+	bng-	cr6,.L8
+	fadd	fp5,fp4,fp13	/* r1 = x1 + TWO52;  */
+	fsub	fp5,fp5,fp13	/* r1 = r1 - TWO52;  */
+	b	.L6
+.L8:
+	fmr	fp5,fp4
+	bge-	cr6,.L6		/* if (x1 < 0.0)  */
+	fsub	fp5,fp13,fp4	/* r1 = TWO52 - x1;  */
+	fsub	fp0,fp5,fp13	/* r1 = - (r1 - TWO52);  */
+	fneg	fp5,fp0
+.L6:
+	fadd	fp1,fp3,fp5	/* y_high = x0 + r1;  */
+	fsub	fp2,fp5,fp8	/* y_low = r1 - tau;  */
+	b	.L9
+END (__nearbyintl)
+
+long_double_symbol (libm, __nearbyintl, nearbyintl)