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
f64_div(float64_t a,float64_t b)459403c583SJens Wiklander float64_t f64_div( float64_t a, float64_t b )
469403c583SJens Wiklander {
479403c583SJens Wiklander union ui64_f64 uA;
489403c583SJens Wiklander uint_fast64_t uiA;
499403c583SJens Wiklander bool signA;
509403c583SJens Wiklander int_fast16_t expA;
519403c583SJens Wiklander uint_fast64_t sigA;
529403c583SJens Wiklander union ui64_f64 uB;
539403c583SJens Wiklander uint_fast64_t uiB;
549403c583SJens Wiklander bool signB;
559403c583SJens Wiklander int_fast16_t expB;
569403c583SJens Wiklander uint_fast64_t sigB;
579403c583SJens Wiklander bool signZ;
589403c583SJens Wiklander struct exp16_sig64 normExpSig;
599403c583SJens Wiklander int_fast16_t expZ;
609403c583SJens Wiklander uint32_t recip32, sig32Z, doubleTerm;
619403c583SJens Wiklander uint_fast64_t rem;
629403c583SJens Wiklander uint32_t q;
639403c583SJens Wiklander uint_fast64_t sigZ;
649403c583SJens Wiklander uint_fast64_t uiZ;
659403c583SJens Wiklander union ui64_f64 uZ;
669403c583SJens Wiklander
679403c583SJens Wiklander /*------------------------------------------------------------------------
689403c583SJens Wiklander *------------------------------------------------------------------------*/
699403c583SJens Wiklander uA.f = a;
709403c583SJens Wiklander uiA = uA.ui;
719403c583SJens Wiklander signA = signF64UI( uiA );
729403c583SJens Wiklander expA = expF64UI( uiA );
739403c583SJens Wiklander sigA = fracF64UI( uiA );
749403c583SJens Wiklander uB.f = b;
759403c583SJens Wiklander uiB = uB.ui;
769403c583SJens Wiklander signB = signF64UI( uiB );
779403c583SJens Wiklander expB = expF64UI( uiB );
789403c583SJens Wiklander sigB = fracF64UI( uiB );
799403c583SJens Wiklander signZ = signA ^ signB;
809403c583SJens Wiklander /*------------------------------------------------------------------------
819403c583SJens Wiklander *------------------------------------------------------------------------*/
829403c583SJens Wiklander if ( expA == 0x7FF ) {
839403c583SJens Wiklander if ( sigA ) goto propagateNaN;
849403c583SJens Wiklander if ( expB == 0x7FF ) {
859403c583SJens Wiklander if ( sigB ) goto propagateNaN;
869403c583SJens Wiklander goto invalid;
879403c583SJens Wiklander }
889403c583SJens Wiklander goto infinity;
899403c583SJens Wiklander }
909403c583SJens Wiklander if ( expB == 0x7FF ) {
919403c583SJens Wiklander if ( sigB ) goto propagateNaN;
929403c583SJens Wiklander goto zero;
939403c583SJens Wiklander }
949403c583SJens Wiklander /*------------------------------------------------------------------------
959403c583SJens Wiklander *------------------------------------------------------------------------*/
969403c583SJens Wiklander if ( ! expB ) {
979403c583SJens Wiklander if ( ! sigB ) {
989403c583SJens Wiklander if ( ! (expA | sigA) ) goto invalid;
999403c583SJens Wiklander softfloat_raiseFlags( softfloat_flag_infinite );
1009403c583SJens Wiklander goto infinity;
1019403c583SJens Wiklander }
1029403c583SJens Wiklander normExpSig = softfloat_normSubnormalF64Sig( sigB );
1039403c583SJens Wiklander expB = normExpSig.exp;
1049403c583SJens Wiklander sigB = normExpSig.sig;
1059403c583SJens Wiklander }
1069403c583SJens Wiklander if ( ! expA ) {
1079403c583SJens Wiklander if ( ! sigA ) goto zero;
1089403c583SJens Wiklander normExpSig = softfloat_normSubnormalF64Sig( sigA );
1099403c583SJens Wiklander expA = normExpSig.exp;
1109403c583SJens Wiklander sigA = normExpSig.sig;
1119403c583SJens Wiklander }
1129403c583SJens Wiklander /*------------------------------------------------------------------------
1139403c583SJens Wiklander *------------------------------------------------------------------------*/
1149403c583SJens Wiklander expZ = expA - expB + 0x3FE;
1159403c583SJens Wiklander sigA |= UINT64_C( 0x0010000000000000 );
1169403c583SJens Wiklander sigB |= UINT64_C( 0x0010000000000000 );
1179403c583SJens Wiklander if ( sigA < sigB ) {
1189403c583SJens Wiklander --expZ;
1199403c583SJens Wiklander sigA <<= 11;
1209403c583SJens Wiklander } else {
1219403c583SJens Wiklander sigA <<= 10;
1229403c583SJens Wiklander }
1239403c583SJens Wiklander sigB <<= 11;
1249403c583SJens Wiklander recip32 = softfloat_approxRecip32_1( sigB>>32 ) - 2;
1259403c583SJens Wiklander sig32Z = ((uint32_t) (sigA>>32) * (uint_fast64_t) recip32)>>32;
1269403c583SJens Wiklander doubleTerm = sig32Z<<1;
1279403c583SJens Wiklander rem =
1289403c583SJens Wiklander ((sigA - (uint_fast64_t) doubleTerm * (uint32_t) (sigB>>32))<<28)
1299403c583SJens Wiklander - (uint_fast64_t) doubleTerm * ((uint32_t) sigB>>4);
1309403c583SJens Wiklander q = (((uint32_t) (rem>>32) * (uint_fast64_t) recip32)>>32) + 4;
1319403c583SJens Wiklander sigZ = ((uint_fast64_t) sig32Z<<32) + ((uint_fast64_t) q<<4);
1329403c583SJens Wiklander /*------------------------------------------------------------------------
1339403c583SJens Wiklander *------------------------------------------------------------------------*/
1349403c583SJens Wiklander if ( (sigZ & 0x1FF) < 4<<4 ) {
1359403c583SJens Wiklander q &= ~7;
1369403c583SJens Wiklander sigZ &= ~(uint_fast64_t) 0x7F;
1379403c583SJens Wiklander doubleTerm = q<<1;
1389403c583SJens Wiklander rem =
1399403c583SJens Wiklander ((rem - (uint_fast64_t) doubleTerm * (uint32_t) (sigB>>32))<<28)
1409403c583SJens Wiklander - (uint_fast64_t) doubleTerm * ((uint32_t) sigB>>4);
1419403c583SJens Wiklander if ( rem & UINT64_C( 0x8000000000000000 ) ) {
1429403c583SJens Wiklander sigZ -= 1<<7;
1439403c583SJens Wiklander } else {
1449403c583SJens Wiklander if ( rem ) sigZ |= 1;
1459403c583SJens Wiklander }
1469403c583SJens Wiklander }
1479403c583SJens Wiklander return softfloat_roundPackToF64( signZ, expZ, sigZ );
1489403c583SJens Wiklander /*------------------------------------------------------------------------
1499403c583SJens Wiklander *------------------------------------------------------------------------*/
1509403c583SJens Wiklander propagateNaN:
1519403c583SJens Wiklander uiZ = softfloat_propagateNaNF64UI( uiA, uiB );
1529403c583SJens Wiklander goto uiZ;
1539403c583SJens Wiklander /*------------------------------------------------------------------------
1549403c583SJens Wiklander *------------------------------------------------------------------------*/
1559403c583SJens Wiklander invalid:
1569403c583SJens Wiklander softfloat_raiseFlags( softfloat_flag_invalid );
1579403c583SJens Wiklander uiZ = defaultNaNF64UI;
1589403c583SJens Wiklander goto uiZ;
1599403c583SJens Wiklander /*------------------------------------------------------------------------
1609403c583SJens Wiklander *------------------------------------------------------------------------*/
1619403c583SJens Wiklander infinity:
1629403c583SJens Wiklander uiZ = packToF64UI( signZ, 0x7FF, 0 );
1639403c583SJens Wiklander goto uiZ;
1649403c583SJens Wiklander /*------------------------------------------------------------------------
1659403c583SJens Wiklander *------------------------------------------------------------------------*/
1669403c583SJens Wiklander zero:
1679403c583SJens Wiklander uiZ = packToF64UI( signZ, 0, 0 );
1689403c583SJens Wiklander uiZ:
1699403c583SJens Wiklander uZ.ui = uiZ;
1709403c583SJens Wiklander return uZ.f;
1719403c583SJens Wiklander
1729403c583SJens Wiklander }
1739403c583SJens Wiklander
174