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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_roundl.S
parent7d58530341304d403a6626d7f7a1913165fe2f32 (diff)
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+/* long double round function.
+   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
+.LC1:	/* 0.5 */
+	.tc FD_3fe00000_0[TC],0x3fe0000000000000
+	.section	".text"
+
+/* long double [fp1,fp2] roundl (long double x [fp1,fp2])
+   IEEE 1003.1 round function.  IEEE specifies "round to the nearest
+   integer value, rounding halfway cases away from zero, regardless of
+   the current rounding mode."  However PowerPC Architecture defines
+   "Round to Nearest" as "Choose the best approximation. In case of a
+   tie, choose the one that is even (least significant bit o).".
+   So we can't use the PowerPC "Round to Nearest" mode. Instead we set
+   "Round toward Zero" mode and round by adding +-0.5 before rounding
+   to the integer value.  */
+
+ENTRY (__roundl)
+	mffs	fp11		/* Save current FPU rounding mode.  */
+	lfd	fp13,.LC0@toc(2)
+	fabs	fp0,fp1
+	fabs	fp9,fp2
+	fsub	fp12,fp13,fp13	/* generate 0.0  */
+	fcmpu	cr7,fp0,fp13	/* if (fabs(x) > TWO52)  */
+	fcmpu	cr6,fp1,fp12	/* if (x > 0.0)  */
+	bnl-	cr7,.L2
+	mtfsfi	7,1		/* Set rounding mode toward 0.  */
+	lfd	fp10,.LC1@toc(2)
+	ble-	cr6,.L1
+	fneg	fp2,fp12
+	fadd	fp1,fp1,fp10	/* x+= 0.5;  */
+	fadd	fp1,fp1,fp13	/* x+= TWO52;  */
+	fsub	fp1,fp1,fp13	/* x-= TWO52;  */
+	fabs	fp1,fp1		/* if (x == 0.0) x = 0.0;  */
+.L0:
+	mtfsf	0x01,fp11	/* restore previous rounding mode.  */
+	blr
+.L1:
+	fsub	fp9,fp1,fp10	/* x-= 0.5;  */
+	fneg	fp2,fp12
+	bge-	cr6,.L0		/* if (x < 0.0)  */
+	fsub	fp1,fp9,fp13	/* x-= TWO52;  */
+	fadd	fp1,fp1,fp13	/* x+= TWO52;  */
+	fnabs	fp1,fp1		/* if (x == 0.0) x = -0.0;  */
+	mtfsf	0x01,fp11	/* restore previous rounding mode.  */
+	blr
+
+/* The high double is > TWO52 so we need to round the low double and
+   perhaps the high double.  In this case we have to round the low
+   double and handle any adjustment to the high double that may be
+   caused by rounding (up).  This is complicated by the fact that the
+   high double may already be rounded and the low double may have the
+   opposite sign to compensate.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 = rint(x1);
+   y_high = x0 + r1;
+   y_low = x0 - y_high + r1;
+   return y;  */
+.L2:
+	fcmpu	cr7,fp9,fp13	/* if (|x_low| > TWO52)  */
+	fcmpu	cr0,fp9,fp12	/* || (|x_low| == 0.0)  */
+	fcmpu	cr5,fp2,fp12	/* if (x_low > 0.0)  */
+	lfd	fp10,.LC1@toc(2)
+	bgelr-	cr7		/*   return x;	*/
+	beqlr-  cr0
+	mtfsfi	7,1		/* Set rounding mode toward 0.  */
+	fdiv	fp8,fp1,fp13	/* x_high/TWO52  */
+	
+	bng-	cr6,.L6		/* if (x > 0.0)  */
+	fctidz	fp0,fp8
+	fcfid	fp8,fp0		/* tau = floor(x_high/TWO52);  */
+	bng	cr5,.L4		/* if (x_low > 0.0)  */
+	fmr	fp3,fp1
+	fmr	fp4,fp2
+	b	.L5
+.L4:				/* if (x_low < 0.0)  */
+	fsub	fp3,fp1,fp8	/* x0 = x_high - tau;  */
+	fadd	fp4,fp2,fp8	/* x1 = x_low + tau;  */
+.L5:
+	fadd	fp5,fp4,fp10	/* r1 = x1 + 0.5;  */
+	fadd	fp5,fp5,fp13	/* r1 = r1 + TWO52;  */
+	fsub	fp5,fp5,fp13	/* r1 = r1 - TWO52;  */
+	b	.L9
+.L6:				/* if (x < 0.0)  */
+	fctidz	fp0,fp8
+	fcfid	fp8,fp0		/* tau = floor(x_high/TWO52);  */	
+	bnl	cr5,.L7		/* if (x_low < 0.0)  */
+	fmr	fp3,fp1
+	fmr	fp4,fp2
+	b	.L8
+.L7:				/* if (x_low > 0.0)  */
+	fsub	fp3,fp1,fp8	/* x0 = x_high - tau;  */
+	fadd	fp4,fp2,fp8	/* x1 = x_low + tau;  */
+.L8:
+	fsub	fp5,fp4,fp10	/* r1 = x1 - 0.5;  */
+	fsub	fp5,fp5,fp13	/* r1-= TWO52;  */
+	fadd	fp5,fp5,fp13	/* r1+= TWO52;  */
+.L9:
+	mtfsf	0x01,fp11	/* restore previous rounding mode.  */
+	fadd	fp1,fp3,fp5	/* y_high = x0 + r1;  */
+	fsub	fp2,fp3,fp1	/* y_low = x0 - y_high + r1;  */
+	fadd	fp2,fp2,fp5
+	blr
+END (__roundl)
+
+long_double_symbol (libm, __roundl, roundl)