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-/* llroundl 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: /* 0.0 */
- .tc FD_00000000_0[TC],0x0000000000000000
-.LC1: /* 0.5 */
- .tc FD_3fe00000_0[TC],0x3fe0000000000000
-.LC2: /* 2**52 */
- .tc FD_43300000_0[TC],0x4330000000000000
-.LC3: /* 2**63 */
- .tc FD_43E00000_0[TC],0x43e0000000000000
- .section ".text"
-
-/* long long [r3] llround (long double x [fp1,fp2])
- IEEE 1003.1 llroundl 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
- toward zero. The "Floating Convert To Integer Doubleword with round
- toward zero" instruction handles the conversion including the
- overflow cases and signalling "Invalid Operation".
-
- 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 is 4 cases:
- 1) |x| < 2**52, all the integer bits are in the high double.
- Round and convert the high double to long long.
- 2) 2**52 <= |x|< 2**63, Still fits but need bits from both doubles.
- Round the low double, convert both, then sum the long long values.
- 3) |x| == 2**63, Looks like an overflow but may not be due to rounding
- of the high double.
- See the description following lable L2.
- 4) |x| > 2**63, This will overflow the 64-bit signed integer.
- Treat like case #1. The fctidz instruction will generate the
- appropriate and signal "invalid operation".
-
- */
-
-ENTRY (__llroundl)
- mffs fp7 /* Save current FPU rounding mode. */
- fabs fp0,fp1
- lfd fp13,.LC2@toc(2) /* 2**52 */
- lfd fp12,.LC3@toc(2) /* 2**63 */
- lfd fp11,.LC0@toc(2) /* 0.0 */
- lfd fp10,.LC1@toc(2) /* 0.5 */
- fabs fp9,fp2
- fcmpu cr7,fp0,fp13 /* if (fabs(x) > TWO52) */
- fcmpu cr6,fp1,fp11 /* if (x > 0.0) */
- bnl- cr7,.L2
- mtfsfi 7,1 /* Set rounding mode toward 0. */
- ble- cr6,.L1
- fadd fp9,fp1,fp10 /* x+= 0.5; */
- b .L0
-.L1:
- fsub fp9,fp1,fp10 /* x-= 0.5; */
-.L0:
- fctid fp0,fp9
- stfd fp0,-16(r1)
- mtfsf 0x01,fp7 /* restore previous rounding mode. */
- nop /* Insure the following load is in a different dispatch group */
- nop /* to avoid pipe stall on POWER4&5. */
- nop
- ld r3,-16(r1)
- 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 = trunc(x_high/TWO52);
- x0 = x_high - tau;
- x1 = x_low + tau;
- r1 = round(x1);
- y_high = x0 + r1;
- y_low = x0 - y_high + r1;
- return y; */
-.L2:
- fcmpu cr7,fp0,fp12 /* if (|x_high| > TWO63) */
- fcmpu cr0,fp9,fp11 /* || (|x_low| == 0.0) */
- fmr fp9,fp1
- fcmpu cr5,fp2,fp11 /* if (x_low > 0.0) */
- bgt- cr7,.L0 /* return llround(x); */
- 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 = trunc(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; */
- b .L9
-.L6: /* if (x < 0.0) */
- fctidz fp0,fp8
- fcfid fp8,fp0 /* tau = trunc(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; */
-.L9:
- fctid. fp11,fp3
- fctid fp12,fp5
- stfd fp11,-16(r1)
- stfd fp12,-8(r1)
- mtfsf 0x01,fp7 /* restore previous rounding mode. */
- nop /* Insure the following load is in a different dispatch group */
- nop /* to avoid pipe stall on POWER4&5. */
- nop
- ld r3,-16(r1)
- bunlr cr1 /* if not overflow, return. */
- ld r0,-8(r1)
- addo. r3,r3,r0
- bnslr cr0
- fmr fp9,fp12
- bng cr6,.L0
- fneg fp9,fp12
- b .L0
-END (__llroundl)
-
-strong_alias (__llroundl, __lroundl)
-long_double_symbol (libm, __llroundl, llroundl)
-long_double_symbol (libm, __lroundl, lroundl)