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 The Regents of the University of California. 99403c583SJens Wiklander 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 "specialize.h" 439403c583SJens Wiklander #include "softfloat.h" 449403c583SJens Wiklander 459403c583SJens Wiklander #ifdef SOFTFLOAT_FAST_INT64 469403c583SJens Wiklander 479403c583SJens Wiklander void extF80M_rem(const extFloat80_t * aPtr,const extFloat80_t * bPtr,extFloat80_t * zPtr)489403c583SJens Wiklander extF80M_rem( 499403c583SJens Wiklander const extFloat80_t *aPtr, const extFloat80_t *bPtr, extFloat80_t *zPtr ) 509403c583SJens Wiklander { 519403c583SJens Wiklander 529403c583SJens Wiklander *zPtr = extF80_rem( *aPtr, *bPtr ); 539403c583SJens Wiklander 549403c583SJens Wiklander } 559403c583SJens Wiklander 569403c583SJens Wiklander #else 579403c583SJens Wiklander 589403c583SJens Wiklander void extF80M_rem(const extFloat80_t * aPtr,const extFloat80_t * bPtr,extFloat80_t * zPtr)599403c583SJens Wiklander extF80M_rem( 609403c583SJens Wiklander const extFloat80_t *aPtr, const extFloat80_t *bPtr, extFloat80_t *zPtr ) 619403c583SJens Wiklander { 629403c583SJens Wiklander const struct extFloat80M *aSPtr, *bSPtr; 639403c583SJens Wiklander struct extFloat80M *zSPtr; 649403c583SJens Wiklander uint_fast16_t uiA64; 659403c583SJens Wiklander int32_t expA, expB; 669403c583SJens Wiklander uint64_t x64; 679403c583SJens Wiklander bool signRem; 689403c583SJens Wiklander uint64_t sigA; 699403c583SJens Wiklander int32_t expDiff; 709403c583SJens Wiklander uint32_t rem[3], x[3], sig32B, q, recip32, rem2[3], *remPtr, *altRemPtr; 719403c583SJens Wiklander uint32_t *newRemPtr, wordMeanRem; 729403c583SJens Wiklander 739403c583SJens Wiklander /*------------------------------------------------------------------------ 749403c583SJens Wiklander *------------------------------------------------------------------------*/ 759403c583SJens Wiklander aSPtr = (const struct extFloat80M *) aPtr; 769403c583SJens Wiklander bSPtr = (const struct extFloat80M *) bPtr; 779403c583SJens Wiklander zSPtr = (struct extFloat80M *) zPtr; 789403c583SJens Wiklander /*------------------------------------------------------------------------ 799403c583SJens Wiklander *------------------------------------------------------------------------*/ 809403c583SJens Wiklander uiA64 = aSPtr->signExp; 819403c583SJens Wiklander expA = expExtF80UI64( uiA64 ); 829403c583SJens Wiklander expB = expExtF80UI64( bSPtr->signExp ); 839403c583SJens Wiklander /*------------------------------------------------------------------------ 849403c583SJens Wiklander *------------------------------------------------------------------------*/ 859403c583SJens Wiklander if ( (expA == 0x7FFF) || (expB == 0x7FFF) ) { 869403c583SJens Wiklander if ( softfloat_tryPropagateNaNExtF80M( aSPtr, bSPtr, zSPtr ) ) return; 879403c583SJens Wiklander if ( expA == 0x7FFF ) goto invalid; 889403c583SJens Wiklander /*-------------------------------------------------------------------- 899403c583SJens Wiklander | If we get here, then argument b is an infinity and `expB' is 0x7FFF; 909403c583SJens Wiklander | Doubling `expB' is an easy way to ensure that `expDiff' later is 919403c583SJens Wiklander | less than -1, which will result in returning a canonicalized version 929403c583SJens Wiklander | of argument a. 939403c583SJens Wiklander *--------------------------------------------------------------------*/ 949403c583SJens Wiklander expB += expB; 959403c583SJens Wiklander } 969403c583SJens Wiklander /*------------------------------------------------------------------------ 979403c583SJens Wiklander *------------------------------------------------------------------------*/ 989403c583SJens Wiklander if ( ! expB ) expB = 1; 999403c583SJens Wiklander x64 = bSPtr->signif; 1009403c583SJens Wiklander if ( ! (x64 & UINT64_C( 0x8000000000000000 )) ) { 1019403c583SJens Wiklander if ( ! x64 ) goto invalid; 1029403c583SJens Wiklander expB += softfloat_normExtF80SigM( &x64 ); 1039403c583SJens Wiklander } 1049403c583SJens Wiklander signRem = signExtF80UI64( uiA64 ); 1059403c583SJens Wiklander if ( ! expA ) expA = 1; 1069403c583SJens Wiklander sigA = aSPtr->signif; 1079403c583SJens Wiklander if ( ! (sigA & UINT64_C( 0x8000000000000000 )) ) { 1089403c583SJens Wiklander if ( ! sigA ) { 1099403c583SJens Wiklander expA = 0; 1109403c583SJens Wiklander goto copyA; 1119403c583SJens Wiklander } 1129403c583SJens Wiklander expA += softfloat_normExtF80SigM( &sigA ); 1139403c583SJens Wiklander } 1149403c583SJens Wiklander /*------------------------------------------------------------------------ 1159403c583SJens Wiklander *------------------------------------------------------------------------*/ 1169403c583SJens Wiklander expDiff = expA - expB; 1179403c583SJens Wiklander if ( expDiff < -1 ) goto copyA; 1189403c583SJens Wiklander rem[indexWord( 3, 2 )] = sigA>>34; 1199403c583SJens Wiklander rem[indexWord( 3, 1 )] = sigA>>2; 1209403c583SJens Wiklander rem[indexWord( 3, 0 )] = (uint32_t) sigA<<30; 1219403c583SJens Wiklander x[indexWord( 3, 0 )] = (uint32_t) x64<<30; 1229403c583SJens Wiklander sig32B = x64>>32; 1239403c583SJens Wiklander x64 >>= 2; 1249403c583SJens Wiklander x[indexWord( 3, 2 )] = x64>>32; 1259403c583SJens Wiklander x[indexWord( 3, 1 )] = x64; 1269403c583SJens Wiklander if ( expDiff < 1 ) { 1279403c583SJens Wiklander if ( expDiff ) { 1289403c583SJens Wiklander --expB; 1299403c583SJens Wiklander softfloat_add96M( x, x, x ); 1309403c583SJens Wiklander q = 0; 1319403c583SJens Wiklander } else { 1329403c583SJens Wiklander q = (softfloat_compare96M( x, rem ) <= 0); 1339403c583SJens Wiklander if ( q ) softfloat_sub96M( rem, x, rem ); 1349403c583SJens Wiklander } 1359403c583SJens Wiklander } else { 1369403c583SJens Wiklander recip32 = softfloat_approxRecip32_1( sig32B ); 1379403c583SJens Wiklander expDiff -= 30; 1389403c583SJens Wiklander for (;;) { 1399403c583SJens Wiklander x64 = (uint64_t) rem[indexWordHi( 3 )] * recip32; 1409403c583SJens Wiklander if ( expDiff < 0 ) break; 1419403c583SJens Wiklander q = (x64 + 0x80000000)>>32; 1429403c583SJens Wiklander softfloat_remStep96MBy32( rem, 29, x, q, rem ); 1439403c583SJens Wiklander if ( rem[indexWordHi( 3 )] & 0x80000000 ) { 1449403c583SJens Wiklander softfloat_add96M( rem, x, rem ); 1459403c583SJens Wiklander } 1469403c583SJens Wiklander expDiff -= 29; 1479403c583SJens Wiklander } 1489403c583SJens Wiklander /*-------------------------------------------------------------------- 1499403c583SJens Wiklander | (`expDiff' cannot be less than -29 here.) 1509403c583SJens Wiklander *--------------------------------------------------------------------*/ 1519403c583SJens Wiklander q = (uint32_t) (x64>>32)>>(~expDiff & 31); 1529403c583SJens Wiklander softfloat_remStep96MBy32( rem, expDiff + 30, x, q, rem ); 1539403c583SJens Wiklander if ( rem[indexWordHi( 3 )] & 0x80000000 ) { 1549403c583SJens Wiklander remPtr = rem; 1559403c583SJens Wiklander altRemPtr = rem2; 1569403c583SJens Wiklander softfloat_add96M( remPtr, x, altRemPtr ); 1579403c583SJens Wiklander goto selectRem; 1589403c583SJens Wiklander } 1599403c583SJens Wiklander } 1609403c583SJens Wiklander /*------------------------------------------------------------------------ 1619403c583SJens Wiklander *------------------------------------------------------------------------*/ 1629403c583SJens Wiklander remPtr = rem; 1639403c583SJens Wiklander altRemPtr = rem2; 1649403c583SJens Wiklander do { 1659403c583SJens Wiklander ++q; 1669403c583SJens Wiklander newRemPtr = altRemPtr; 1679403c583SJens Wiklander softfloat_sub96M( remPtr, x, newRemPtr ); 1689403c583SJens Wiklander altRemPtr = remPtr; 1699403c583SJens Wiklander remPtr = newRemPtr; 1709403c583SJens Wiklander } while ( ! (remPtr[indexWordHi( 3 )] & 0x80000000) ); 1719403c583SJens Wiklander selectRem: 1729403c583SJens Wiklander softfloat_add96M( remPtr, altRemPtr, x ); 1739403c583SJens Wiklander wordMeanRem = x[indexWordHi( 3 )]; 1749403c583SJens Wiklander if ( 1759403c583SJens Wiklander (wordMeanRem & 0x80000000) 1769403c583SJens Wiklander || (! wordMeanRem && (q & 1) && ! x[indexWord( 3, 0 )] 1779403c583SJens Wiklander && ! x[indexWord( 3, 1 )]) 1789403c583SJens Wiklander ) { 1799403c583SJens Wiklander remPtr = altRemPtr; 1809403c583SJens Wiklander } 1819403c583SJens Wiklander if ( remPtr[indexWordHi( 3 )] & 0x80000000 ) { 1829403c583SJens Wiklander signRem = ! signRem; 1839403c583SJens Wiklander softfloat_negX96M( remPtr ); 1849403c583SJens Wiklander } 1859403c583SJens Wiklander softfloat_normRoundPackMToExtF80M( signRem, expB + 2, remPtr, 80, zSPtr ); 1869403c583SJens Wiklander return; 1879403c583SJens Wiklander /*------------------------------------------------------------------------ 1889403c583SJens Wiklander *------------------------------------------------------------------------*/ 1899403c583SJens Wiklander invalid: 1909403c583SJens Wiklander softfloat_invalidExtF80M( zSPtr ); 1919403c583SJens Wiklander return; 1929403c583SJens Wiklander /*------------------------------------------------------------------------ 1939403c583SJens Wiklander *------------------------------------------------------------------------*/ 1949403c583SJens Wiklander copyA: 1959403c583SJens Wiklander if ( expA < 1 ) { 1969403c583SJens Wiklander sigA >>= 1 - expA; 1979403c583SJens Wiklander expA = 0; 1989403c583SJens Wiklander } 1999403c583SJens Wiklander zSPtr->signExp = packToExtF80UI64( signRem, expA ); 2009403c583SJens Wiklander zSPtr->signif = sigA; 2019403c583SJens Wiklander 2029403c583SJens Wiklander } 2039403c583SJens Wiklander 2049403c583SJens Wiklander #endif 2059403c583SJens Wiklander 206