xref: /optee_os/lib/libutils/isoc/arch/arm/softfloat/source/s_roundPackToExtF80.c (revision 1bb929836182ecb96d2d9d268daa807c67596396)
1*1bb92983SJerome Forissier // SPDX-License-Identifier: BSD-3-Clause
29403c583SJens Wiklander 
39403c583SJens Wiklander /*============================================================================
49403c583SJens Wiklander 
59403c583SJens Wiklander This C source file is part of the SoftFloat IEEE Floating-Point Arithmetic
69403c583SJens Wiklander Package, Release 3a, by John R. Hauser.
79403c583SJens Wiklander 
89403c583SJens Wiklander Copyright 2011, 2012, 2013, 2014, 2015 The Regents of the University of
99403c583SJens Wiklander California.  All rights reserved.
109403c583SJens Wiklander 
119403c583SJens Wiklander Redistribution and use in source and binary forms, with or without
129403c583SJens Wiklander modification, are permitted provided that the following conditions are met:
139403c583SJens Wiklander 
149403c583SJens Wiklander  1. Redistributions of source code must retain the above copyright notice,
159403c583SJens Wiklander     this list of conditions, and the following disclaimer.
169403c583SJens Wiklander 
179403c583SJens Wiklander  2. Redistributions in binary form must reproduce the above copyright notice,
189403c583SJens Wiklander     this list of conditions, and the following disclaimer in the documentation
199403c583SJens Wiklander     and/or other materials provided with the distribution.
209403c583SJens Wiklander 
219403c583SJens Wiklander  3. Neither the name of the University nor the names of its contributors may
229403c583SJens Wiklander     be used to endorse or promote products derived from this software without
239403c583SJens Wiklander     specific prior written permission.
249403c583SJens Wiklander 
259403c583SJens Wiklander THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS", AND ANY
269403c583SJens Wiklander EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
279403c583SJens Wiklander WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE
289403c583SJens Wiklander DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
299403c583SJens Wiklander DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
309403c583SJens Wiklander (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
319403c583SJens Wiklander LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
329403c583SJens Wiklander ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
339403c583SJens Wiklander (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
349403c583SJens Wiklander SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
359403c583SJens Wiklander 
369403c583SJens Wiklander =============================================================================*/
379403c583SJens Wiklander 
389403c583SJens Wiklander #include <stdbool.h>
399403c583SJens Wiklander #include <stdint.h>
409403c583SJens Wiklander #include "platform.h"
419403c583SJens Wiklander #include "internals.h"
429403c583SJens Wiklander #include "softfloat.h"
439403c583SJens Wiklander 
449403c583SJens Wiklander extFloat80_t
softfloat_roundPackToExtF80(bool sign,int_fast32_t exp,uint_fast64_t sig,uint_fast64_t sigExtra,uint_fast8_t roundingPrecision)459403c583SJens Wiklander  softfloat_roundPackToExtF80(
469403c583SJens Wiklander      bool sign,
479403c583SJens Wiklander      int_fast32_t exp,
489403c583SJens Wiklander      uint_fast64_t sig,
499403c583SJens Wiklander      uint_fast64_t sigExtra,
509403c583SJens Wiklander      uint_fast8_t roundingPrecision
519403c583SJens Wiklander  )
529403c583SJens Wiklander {
539403c583SJens Wiklander     uint_fast8_t roundingMode;
549403c583SJens Wiklander     bool roundNearEven;
559403c583SJens Wiklander     uint_fast64_t roundIncrement, roundMask, roundBits;
569403c583SJens Wiklander     bool isTiny, doIncrement;
579403c583SJens Wiklander     struct uint64_extra sig64Extra;
589403c583SJens Wiklander     union { struct extFloat80M s; extFloat80_t f; } uZ;
599403c583SJens Wiklander 
609403c583SJens Wiklander     roundingMode = softfloat_roundingMode;
619403c583SJens Wiklander     roundNearEven = (roundingMode == softfloat_round_near_even);
629403c583SJens Wiklander     if ( roundingPrecision == 80 ) goto precision80;
639403c583SJens Wiklander     if ( roundingPrecision == 64 ) {
649403c583SJens Wiklander         roundIncrement = UINT64_C( 0x0000000000000400 );
659403c583SJens Wiklander         roundMask = UINT64_C( 0x00000000000007FF );
669403c583SJens Wiklander     } else if ( roundingPrecision == 32 ) {
679403c583SJens Wiklander         roundIncrement = UINT64_C( 0x0000008000000000 );
689403c583SJens Wiklander         roundMask = UINT64_C( 0x000000FFFFFFFFFF );
699403c583SJens Wiklander     } else {
709403c583SJens Wiklander         goto precision80;
719403c583SJens Wiklander     }
729403c583SJens Wiklander     sig |= (sigExtra != 0);
739403c583SJens Wiklander     if ( ! roundNearEven && (roundingMode != softfloat_round_near_maxMag) ) {
749403c583SJens Wiklander         roundIncrement =
759403c583SJens Wiklander             (roundingMode
769403c583SJens Wiklander                  == (sign ? softfloat_round_min : softfloat_round_max))
779403c583SJens Wiklander                 ? roundMask
789403c583SJens Wiklander                 : 0;
799403c583SJens Wiklander     }
809403c583SJens Wiklander     roundBits = sig & roundMask;
819403c583SJens Wiklander     if ( 0x7FFD <= (uint32_t) (exp - 1) ) {
829403c583SJens Wiklander         if ( exp <= 0 ) {
839403c583SJens Wiklander             isTiny =
849403c583SJens Wiklander                    (softfloat_detectTininess
859403c583SJens Wiklander                         == softfloat_tininess_beforeRounding)
869403c583SJens Wiklander                 || (exp < 0)
879403c583SJens Wiklander                 || (sig <= (uint64_t) (sig + roundIncrement));
889403c583SJens Wiklander             sig = softfloat_shiftRightJam64( sig, 1 - exp );
899403c583SJens Wiklander             roundBits = sig & roundMask;
909403c583SJens Wiklander             if ( isTiny && roundBits ) {
919403c583SJens Wiklander                 softfloat_raiseFlags( softfloat_flag_underflow );
929403c583SJens Wiklander             }
939403c583SJens Wiklander             if ( roundBits ) {
949403c583SJens Wiklander                 softfloat_exceptionFlags |= softfloat_flag_inexact;
959403c583SJens Wiklander             }
969403c583SJens Wiklander             sig += roundIncrement;
979403c583SJens Wiklander             exp = ((sig & UINT64_C( 0x8000000000000000 )) != 0);
989403c583SJens Wiklander             roundIncrement = roundMask + 1;
999403c583SJens Wiklander             if ( roundNearEven && (roundBits<<1 == roundIncrement) ) {
1009403c583SJens Wiklander                 roundMask |= roundIncrement;
1019403c583SJens Wiklander             }
1029403c583SJens Wiklander             sig &= ~roundMask;
1039403c583SJens Wiklander             goto packReturn;
1049403c583SJens Wiklander         }
1059403c583SJens Wiklander         if (
1069403c583SJens Wiklander                (0x7FFE < exp)
1079403c583SJens Wiklander             || ((exp == 0x7FFE) && ((uint64_t) (sig + roundIncrement) < sig))
1089403c583SJens Wiklander         ) {
1099403c583SJens Wiklander             goto overflow;
1109403c583SJens Wiklander         }
1119403c583SJens Wiklander     }
1129403c583SJens Wiklander     if ( roundBits ) softfloat_exceptionFlags |= softfloat_flag_inexact;
1139403c583SJens Wiklander     sig = (uint64_t) (sig + roundIncrement);
1149403c583SJens Wiklander     if ( sig < roundIncrement ) {
1159403c583SJens Wiklander         ++exp;
1169403c583SJens Wiklander         sig = UINT64_C( 0x8000000000000000 );
1179403c583SJens Wiklander     }
1189403c583SJens Wiklander     roundIncrement = roundMask + 1;
1199403c583SJens Wiklander     if ( roundNearEven && (roundBits<<1 == roundIncrement) ) {
1209403c583SJens Wiklander         roundMask |= roundIncrement;
1219403c583SJens Wiklander     }
1229403c583SJens Wiklander     sig &= ~roundMask;
1239403c583SJens Wiklander     if ( ! sig ) exp = 0;
1249403c583SJens Wiklander     goto packReturn;
1259403c583SJens Wiklander  precision80:
1269403c583SJens Wiklander     doIncrement = (UINT64_C( 0x8000000000000000 ) <= sigExtra);
1279403c583SJens Wiklander     if ( ! roundNearEven && (roundingMode != softfloat_round_near_maxMag) ) {
1289403c583SJens Wiklander         doIncrement =
1299403c583SJens Wiklander             (roundingMode
1309403c583SJens Wiklander                  == (sign ? softfloat_round_min : softfloat_round_max))
1319403c583SJens Wiklander                 && sigExtra;
1329403c583SJens Wiklander     }
1339403c583SJens Wiklander     if ( 0x7FFD <= (uint32_t) (exp - 1) ) {
1349403c583SJens Wiklander         if ( exp <= 0 ) {
1359403c583SJens Wiklander             isTiny =
1369403c583SJens Wiklander                    (softfloat_detectTininess
1379403c583SJens Wiklander                         == softfloat_tininess_beforeRounding)
1389403c583SJens Wiklander                 || (exp < 0)
1399403c583SJens Wiklander                 || ! doIncrement
1409403c583SJens Wiklander                 || (sig < UINT64_C( 0xFFFFFFFFFFFFFFFF ));
1419403c583SJens Wiklander             sig64Extra =
1429403c583SJens Wiklander                 softfloat_shiftRightJam64Extra( sig, sigExtra, 1 - exp );
1439403c583SJens Wiklander             sig = sig64Extra.v;
1449403c583SJens Wiklander             sigExtra = sig64Extra.extra;
1459403c583SJens Wiklander             if ( isTiny && sigExtra ) {
1469403c583SJens Wiklander                 softfloat_raiseFlags( softfloat_flag_underflow );
1479403c583SJens Wiklander             }
1489403c583SJens Wiklander             if ( sigExtra ) softfloat_exceptionFlags |= softfloat_flag_inexact;
1499403c583SJens Wiklander             doIncrement = (UINT64_C( 0x8000000000000000 ) <= sigExtra);
1509403c583SJens Wiklander             if (
1519403c583SJens Wiklander                    ! roundNearEven
1529403c583SJens Wiklander                 && (roundingMode != softfloat_round_near_maxMag)
1539403c583SJens Wiklander             ) {
1549403c583SJens Wiklander                 doIncrement =
1559403c583SJens Wiklander                     (roundingMode
1569403c583SJens Wiklander                          == (sign ? softfloat_round_min : softfloat_round_max))
1579403c583SJens Wiklander                         && sigExtra;
1589403c583SJens Wiklander             }
1599403c583SJens Wiklander             exp = 0;
1609403c583SJens Wiklander             if ( doIncrement ) {
1619403c583SJens Wiklander                 ++sig;
1629403c583SJens Wiklander                 sig &=
1639403c583SJens Wiklander                     ~(uint_fast64_t)
1649403c583SJens Wiklander                          (! (sigExtra & UINT64_C( 0x7FFFFFFFFFFFFFFF ))
1659403c583SJens Wiklander                               & roundNearEven);
1669403c583SJens Wiklander                 exp = ((sig & UINT64_C( 0x8000000000000000 )) != 0);
1679403c583SJens Wiklander             }
1689403c583SJens Wiklander             goto packReturn;
1699403c583SJens Wiklander         }
1709403c583SJens Wiklander         if (
1719403c583SJens Wiklander                (0x7FFE < exp)
1729403c583SJens Wiklander             || ((exp == 0x7FFE) && (sig == UINT64_C( 0xFFFFFFFFFFFFFFFF ))
1739403c583SJens Wiklander                     && doIncrement)
1749403c583SJens Wiklander         ) {
1759403c583SJens Wiklander             roundMask = 0;
1769403c583SJens Wiklander  overflow:
1779403c583SJens Wiklander             softfloat_raiseFlags(
1789403c583SJens Wiklander                 softfloat_flag_overflow | softfloat_flag_inexact );
1799403c583SJens Wiklander             if (
1809403c583SJens Wiklander                    roundNearEven
1819403c583SJens Wiklander                 || (roundingMode == softfloat_round_near_maxMag)
1829403c583SJens Wiklander                 || (roundingMode
1839403c583SJens Wiklander                         == (sign ? softfloat_round_min : softfloat_round_max))
1849403c583SJens Wiklander             ) {
1859403c583SJens Wiklander                 exp = 0x7FFF;
1869403c583SJens Wiklander                 sig = UINT64_C( 0x8000000000000000 );
1879403c583SJens Wiklander             } else {
1889403c583SJens Wiklander                 exp = 0x7FFE;
1899403c583SJens Wiklander                 sig = ~roundMask;
1909403c583SJens Wiklander             }
1919403c583SJens Wiklander             goto packReturn;
1929403c583SJens Wiklander         }
1939403c583SJens Wiklander     }
1949403c583SJens Wiklander     if ( sigExtra ) softfloat_exceptionFlags |= softfloat_flag_inexact;
1959403c583SJens Wiklander     if ( doIncrement ) {
1969403c583SJens Wiklander         ++sig;
1979403c583SJens Wiklander         if ( ! sig ) {
1989403c583SJens Wiklander             ++exp;
1999403c583SJens Wiklander             sig = UINT64_C( 0x8000000000000000 );
2009403c583SJens Wiklander         } else {
2019403c583SJens Wiklander             sig &=
2029403c583SJens Wiklander                 ~(uint_fast64_t)
2039403c583SJens Wiklander                      (! (sigExtra & UINT64_C( 0x7FFFFFFFFFFFFFFF ))
2049403c583SJens Wiklander                           & roundNearEven);
2059403c583SJens Wiklander         }
2069403c583SJens Wiklander     } else {
2079403c583SJens Wiklander         if ( ! sig ) exp = 0;
2089403c583SJens Wiklander     }
2099403c583SJens Wiklander  packReturn:
2109403c583SJens Wiklander     uZ.s.signExp = packToExtF80UI64( sign, exp );
2119403c583SJens Wiklander     uZ.s.signif = sig;
2129403c583SJens Wiklander     return uZ.f;
2139403c583SJens Wiklander 
2149403c583SJens Wiklander }
2159403c583SJens Wiklander 
216